Unit 6: Similar Figures & Triangles TEST. Get a hint. Similar Figures. Click the card to flip 👆. 1) All corresponding angles are congruent. 2) All corresponding sides are proportional. 3) Same shape, but not the same size. 4) result of a dilation. Click the card to flip 👆. Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Proofs involving corresponding parts of congruent triangles ... Side lengths and angle measures in similar figures 3. Similar triangles and similarity transformations G.GSR.5.2: Given two figures, use and apply the ... G.GSR.6.1: Explain that by similarity, ...4. Calculate the proportion of the side lengths between the two triangles. To use the SAS theorem, the sides of the triangles must be proportional to each other. To calculate this, simply use the formula AB/DE = AC/DF. Example: AB/DE = AC/DF; 4/2 = 8/4; 2 = 2. The proportions of the two triangles are equal. 5.Proving Triangles Similar--7-3 quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 Qs . Similar Figures 3.7K plays 6th - 8th 10 Qs . Proportion Word Problems 70 plays 6th Build your own quiz. Create a new quiz. Browse from millions of quizzes. QUIZ . Proving ...Let's take a look at some problems about proving triangle similarity. 1. Prove that ΔADE ∼ ΔABC. Figure 7.14.2. The two triangles share ∠A. Because ¯ DE ∥ ¯ BC, corresponding angles are congruent. Therefore, ∠ADE ≅ ∠ABC. The two triangles have two pairs of congruent angles. Therefore, ΔADE ∼ ΔABC by AA\sim\).‼️THIRD QUARTER‼️🔴 GRADE 9: INTRODUCTION TO SIMILAR TRIANGLES🔴 GRADE 9 PLAYLISTFirst Quarter: https://tinyurl.com/y5wjf97p Second Quarter: https ...Quiz 6 1 Similar Figures Proving Triangles Similar Answer Key. December 3, 2023 Dwayne Morise. Question: 75, 105 Answer: The measures of two supplementary angles are in the ratio 5:7. What is the measure of both angles? ===== Question: 24, 28, 36 Answer: The lengths of the sides of a triangle are in the extended ratio 6:7:9. ...Pompeii | Ice Cream | Sewing | Quiz 6 1 Similar Figures Proving Triangles Similar | Success | Cprs | Ssynonyms | Georgia Studies | Arrange The Rational Numbers In Ascending Order | Pagsunod Sa Panuto Grade 4 | Whwords | Chick Fia Math | Lucko The Irish | Finding The Product Of Sum And Difference Of Two Terms | Hindi 2 Letter Words …Proving Triangle Similarity by SSS and SAS. Section 8.4: Proportionality Theorems. Page 454: Chapter Review. ... Similar Right Triangles. Page 486: Quiz. Section 9.4: The Tangent Ratio. Section 9.5: The Sine and Cosine Ratios. ... Three-Dimensional Figures. Page 624: Quiz. Section 11.5: Volumes of Prisms and Cylinders. Section 11.6:MinJoySun. Preview. Similarity in Right Triangles Assessment [Flashcards] 5 terms. Sabbathica. Preview. Proportions in Triangles (Assesment) 5 terms. Daiceecakes3. …Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Proofs involving corresponding parts of congruent triangles ... Side lengths and angle measures in similar figures 3. Similar triangles and similarity transformations G.GSR.5.2: Given two figures, use and apply the ... G.GSR.6.1: Explain that by similarity, ...4. Calculate the proportion of the side lengths between the two triangles. To use the SAS theorem, the sides of the triangles must be proportional to each other. To calculate this, simply use the formula AB/DE = AC/DF. Example: AB/DE = AC/DF; 4/2 = 8/4; 2 = 2. The proportions of the two triangles are equal. 5.Geometry. Similar Figures and Proving Similar Triangles. Click the card to flip 👆. Similar shapes have the same shape, but not the same size. Click the card to flip 👆. 1 / 11. …the length of the sides of similar triangles: Step 3. Name the variables. Let a = a = length of the third side of Δ A B C. Δ A B C. y = y = length of the third side of Δ X Y Z Δ X Y Z: Step 4. Translate. Since the triangles are similar, the corresponding sides are proportional. We need to write an equation that compares the side we are ... 7-3: Triangle Similarity QUIZ 1: 7-1 & 7-2 I can use the triangle similarity theorems to determine if two triangles are similar. I can use proportions in similar triangles to solve for missing sides. I can set up and solve problems using properties of similar triangles. I can prove triangles are congruent in a two-column proof. She has over 10 years of experience developing STEM curriculum and teaching physics, engineering, and biology. In geometry, proving relationships using congruency and similarity can be done using ...Homework Sheets. Using similarity, you are asked to find missing sides and angles. Homework 1 - If the angles fit they are congruent, if they don't they aren't. Homework 2 - These triangles are similar and the similarity statement is true. Homework 3 - ΔDEF ∼ ΔABC means that ΔDEF is similar to ΔABC. And the sides of similar triangles are ...Pompeii | Ice Cream | Sewing | Quiz 6 1 Similar Figures Proving Triangles Similar | Success | Cprs | Ssynonyms | Georgia Studies | Arrange The Rational Numbers In Ascending Order | Pagsunod Sa Panuto Grade 4 | Whwords | Chick Fia Math | Lucko The Irish | Finding The Product Of Sum And Difference Of Two Terms | Hindi 2 Letter Words …High school geometry. Course: High school geometry > Unit 4. Lesson 2: Introduction to triangle similarity. Intro to triangle similarity. Triangle similarity postulates/criteria. Angle …To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that. angle I measures 60°. What value of x will make the triangles similar by the SSS similarity theorem? 77. Below are statements that can be used to prove that the triangles are similar. 1. 2. ∠B and ∠Y are right angles.2 minutes. 1 pt. Are the triangles similar? Explain. No, because only one angle of the triangles is congruent. Yes, because two of the angles are congruent. No, because only one triangle has a right angle. Not enough information to determine. Proving Triangles Similar quiz for 10th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.5K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K plays 4th - …11.1 Dilations. 11.2 Proving Figures are Similar using Transformations. 11.3 Using Corresponding Parts of Similar Figures. 11.4 AA Similarity of Triangles, Also SSS and SAS. QOD #38 (honors) Triangle ABC has vertices A (6,6), B (9,0), and C (3,3). State and label the coordinates of ∆ A’B’C’, the image of ∆ ABC after a dilation of D ...At Quizlet, we’re giving you the tools you need to take on any subject without having to carry around solutions manuals or printing out PDFs! Now, with expert-verified solutions from Pearson Texas Geometry 1st Edition, you’ll learn how to solve your toughest homework problems. Our resource for Pearson Texas Geometry includes answers to ... Quiz 6 1similar Figures Proving Triangles Similar Worksheets - total of 8 printable worksheets available for this concept. Worksheets are Similar tria...Definition. Proportions are used to create scale drawings and scale models. Scale - a ratio between two sets of measurements, such as 1 in.:5 mi. Scale Drawing or Scale Model - uses a scale to represent an object as smaller or larger than the actual object. A map is an example of a scale drawing.High school geometry 9 units · 90 skills. Unit 1 Performing transformations. Unit 2 Transformation properties and proofs. Unit 3 Congruence. Unit 4 Similarity. Unit 5 Right triangles & trigonometry. Unit 6 Analytic geometry. Unit 7 Conic sections. Unit 8 Circles. 9-3 Proving Triangles Similar quiz for 10th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 Qs . Similar Figures 3.7K plays 6th - 8th 10 Qs . Proportion Word Problems 71 …The two rectangles are similar. Which is the correct proportion for corresponding sides? (Small Rectangle) 4m and 12m (Large Rectangle) 8m and 24m Angle-Angle (AA): When two different sized triangles have two angles that are congruent, the triangles are similar. Notice in the example below, if we have the value of two angles in a triangle, we can …1 minute. 1 pt. Determine if the triangles are similar. If they are, identify the triangle similarity theorem (s) that prove (s) the similarity. AA ~ Theorem. 3.2K plays. 4th - 8th. 20 Qs. Similar Figures. 9.4K plays. 7th. Proving Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! 3.2K plays. 4th - 8th. 20 Qs. Similar Figures. 9.4K plays. 7th. PROVING TRIANGLES SIMILAR quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Oct 10, 2020 · Watch on. Similar triangles are the same shape but not the same size. Remember that if two triangles are both exactly the same shape, and exactly the same size, then they are identical and we say they’re “congruent.”. In a pair of similar triangles, all three corresponding angle pairs are congruent and corresponding side pairs are ... quiz for 9th grade students. Find other quizzes for and more on Quizizz for free! ... Similar Figures 760 plays 8th 18 Qs . Triangle Congruence 308 plays 9th - 12th Build your own quiz. Create a new quiz. Browse from millions of quizzes. ... How many ways do we have to prove triangles congruent? 4. 5. 6. infinite. Multiple Choice. Edit.give the ratio of areas. c2:f2. give the ratio of volumes. c3:f3. what three postulates can prove two triangles similar? AA~, SSS~, SAS~. two angles of one triangle are congruent to two corresponding angles of another. AA~. the …Pg 375 #1-6,10,11 10/17 5 Solve for x in similar triangles Pg 376 # 13,21,23-28,32,33 10/18 6 Discover ratio for sides, perimeter, area of similar triangles Pg 555 #1-3,5 10/19 Review all Quiz No homework 10/22 7 Prove triangles are similar Worksheet on proof/problem attic 10/23 8 Side Splitter Theorem (redrawing into two similar triangles) G.4.3 Use coordinate geometry to prove properties of polygons such as regularity, congruence, and similarity; G.4.4 Explain the relationship between scale factors and their inverses and to apply scale factors to scale figures and drawings; G.6.3 Use properties of congruent and similar triangles, quadrilaterals, and other polygons to solve problems; If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. Solve geometry applications. Step 1. Read the problem and make all the words and ideas are understood. Draw the figure and label it with the given information. Step 2. Identify what we are looking for.; Step 3. Name what we are looking for by choosing a variable to represent it.; Step 4. Translate into an equation by writing the appropriate formula or …Adopted from All Things Algebra by Gina Wilson. Unit 6 Test Study Guide (Part 1, Questions 1 - 16)Unit 6 Similar TrianglesPart 2: https://youtu.be/dR9WlEjWAn...Please save your changes before editing any questions. 15 minutes. 1 pt. A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x? x = 19 cm.These congruent triangles worksheets provide pupils with two different ways to test their understanding. Pupils can practise proving that two or more triangles are similar, and apply similarity to find unknown side lengths. The similarity and congruence worksheets ask them to determine whether pairs of triangles are congruent in increasingly ...Solve geometry applications. Step 1. Read the problem and make all the words and ideas are understood. Draw the figure and label it with the given information. Step 2. Identify what we are looking for.; Step 3. Name what we are looking for by choosing a variable to represent it.; Step 4. Translate into an equation by writing the appropriate formula or …To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that. angle I measures 60°. What value of x will make the triangles similar by the SSS similarity theorem? 77. Below are statements that can be used to prove that the triangles are similar. 1. 2. ∠B and ∠Y are right angles. Properties of similar triangles are given below, Similar triangles have the same shape but different sizes. In similar triangles, corresponding angles are equal. Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides.6th Grade Sentences And Sentence Fragments | Study Skills Word Search | Reading Omprehension | Comprehension And Vocabulary | Aa Tracing | Decision Making | Learn To Develop With Microsoft Developer Network Msdn | Quiz 6 1 Similar Figures Proving Triangles Similar | Christmas Word Problems 18 | Key World | Solution Stoichiometry | …2 minutes. 1 pt. Are the triangles similar? Explain. No, because only one angle of the triangles is congruent. Yes, because two of the angles are congruent. No, because only one triangle has a right angle. Not enough information to determine. Country. Study with Quizlet and memorize flashcards containing terms like AAA, SSS, SAS and more.Example \(\PageIndex{8}\) A tree casts a shadow 12 feet long at the same time a 6 foot man casts a shadow 4 feet long. What is the height of the tree?Practice (Not Required) Quiz 6 1similar Figures Proving Triangles Similar - Displaying top 8 worksheets found for this concept.Some of the worksheets for this concept are Similar triangles date period, Practice with congruent and similar triangles, Name period gl unit 5 similarity, Name geometry unit 3 note packet similar triangles, Unit 5 syllabus similarity,Feb 15, 2021 · Thus my friend’s tents and my tents are similar. 8.3 Proving Triangle Similarity by SSS and SAS. Exploration 1. Deciding Whether Triangles Are Similar. Work with a partner: Use dynamic geometry software. a. Construct ∆ABC and ∆DEF with the side lengths given in column 1 of the table below. Answer: b. Copy the table and complete column 1 ... Proving Triangle Similarity by SSS and SAS. Section 8.4: Proportionality Theorems. Page 454: Chapter Review. ... Similar Right Triangles. Page 486: Quiz. Section 9.4: The Tangent Ratio. Section 9.5: The Sine and Cosine Ratios. ... Three-Dimensional Figures. Page 624: Quiz. Section 11.5: Volumes of Prisms and Cylinders. Section 11.6: Section 6.1: Similar Figures Section 6.2: Prove Triangles Similar Section 6.3: Side Splitter Thoerem Unit 6 Review High school geometry. Course: High school geometry > Unit 4. Lesson 2: Introduction to triangle similarity. Intro to triangle similarity. Triangle similarity postulates/criteria. Angle …Quiz 6 1 Similar Figures Proving Triangles Similar - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Practice with congruent and similar triangles, Solving proportions involving similar figures, Similar figures date period, Similar triangles, Similar triangles date period, Name period gl unit 5 similarity, Chapter 8 similar polygons geometry ... Adopted from All Things Algebra by Gina Wilson. Lesson 6.4 Similar Triangles Proofs (Part 1)Unit 6 Similar TrianglesLesson 5.6: Proving Triangle Congruence by ASA and AAS 1. ASA and AAS Theorems 2. Proving ... Side lengths and angle measures in similar figures 2. Area and perimeter of similar figures 3. Identify similar figures Also consider: • ...Objective: This lesson is designed to help you discover the properties of similar triangles and to specifically understand the concept of proportionality. You will be determining the general conditions required to verify or prove that two triangles are similar. 1. List all Triangle Congruence Postulates that you know. There are five!G.4.4 Explain the relationship between scale factors and their inverses and to apply scale factors to scale figures and. drawings; G.6.3 Use properties of congruent and similar …Quiz 6 1 Similar Figures Proving Triangles Similar - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Practice with congruent and similar triangles, Solving proportions involving similar figures, Similar figures date period, Similar triangles, Similar triangles date period, Name period gl unit 5 similarity, Chapter 8 similar polygons geometry ... If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. Quiz 6 1 Similar Figures Proving Triangles Similar Answer Key. December 3, 2023 Dwayne Morise. Question: 75, 105 Answer: The measures of two supplementary angles are in the ratio 5:7. What is the measure of both angles? ===== Question: 24, 28, 36 Answer: The lengths of the sides of a triangle are in the extended ratio 6:7:9. ...Similar Figures. 9.4K plays. 7th. Proving Triangles Similar & Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Similar figures have the same shape, but they do not have the same size. If a figure or segment is congruent then it is the same in every respect. Similar figures are therefore not congruent. These classifications help us better understand the geometric systems. If we have two congruent triangles, all of their angles are the same too.0:03 Congruent & Similar Figures; 1:31 Proving ... the properties of similar figures. Since the two triangles are similar, it must be the case that the lengths of their sides are proportional, so ...Geometry (FL B.E.S.T.) 9 units · 83 skills. Unit 1 Lines, angles, and geometric figures. Unit 2 Performing transformations. Unit 3 Transformation properties and proofs. Unit 4 Triangles and congruence. Unit 5 Relationships in triangles and quadrilaterals. Unit 6 Similarity. Unit 7 Right triangles & trigonometry. Unit 8 Circles.Julia Kanyoro. 66. plays. 60 questions. Copy & Edit. Show Answers. See Preview. Multiple Choice. 15 minutes. 1 pt. Determine whether the triangles are similar by AA~, SSS~, …G.4.3 Use coordinate geometry to prove properties of polygons such as regularity, congruence, and similarity; G.4.4 Explain the relationship between scale factors and their inverses and to apply scale factors to scale figures and drawings; G.6.3 Use properties of congruent and similar triangles, quadrilaterals, and other polygons to solve problems; 6th Grade Sentences And Sentence Fragments | Study Skills Word Search | Reading Omprehension | Comprehension And Vocabulary | Aa Tracing | Decision Making | Learn To Develop With Microsoft Developer Network Msdn | Quiz 6 1 Similar Figures Proving Triangles Similar | Christmas Word Problems 18 | Key World | Solution Stoichiometry | …MinJoySun. Preview. Similarity in Right Triangles Assessment [Flashcards] 5 terms. Sabbathica. Preview. Proportions in Triangles (Assesment) 5 terms. Daiceecakes3. …Thus my friend’s tents and my tents are similar. 8.3 Proving Triangle Similarity by SSS and SAS. Exploration 1. Deciding Whether Triangles Are Similar. Work with a partner: Use dynamic geometry software. a. Construct ∆ABC and ∆DEF with the side lengths given in column 1 of the table below. Answer: b. Copy the table and complete …A. (1) and (2) only. Explanation. Two different triangles can be constructed using the measurement in the third triangle, so the third triangle is not congruent to the other two triangles. Rate this question: 1 0. 2. A circular cone of height h units is place with its base on table. It contains water to a depth of 2/3 h.Geometry (FL B.E.S.T.) 9 units · 83 skills. Unit 1 Lines, angles, and geometric figures. Unit 2 Performing transformations. Unit 3 Transformation properties and proofs. Unit 4 Triangles and congruence. Unit 5 Relationships in triangles and quadrilaterals. Unit 6 Similarity. Unit 7 Right triangles & trigonometry. Unit 8 Circles. Chapter 8: Similarity Geometry Student Notes 1 Addressed or Prepped VA SOL: G.7 The student, given information in the form of a figure or statement, will prove two triangles are similar. G.14 The student will apply the concepts of similarity to two- or three-dimensional geometric figures. This will include a) comparing ratios between lengths, perimeters, …Free worksheet at https://www.kutasoftware.com/freeige.htmlGo to ️ https://maemap.com/math/geometry/ ⬅️ for more Geometry information!Please support me: ?...3.2K plays. 4th - 8th. 20 Qs. Similar Figures. 9.4K plays. 7th. PROVING TRIANGLES SIMILAR quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Watch on. Similar triangles are the same shape but not the same size. Remember that if two triangles are both exactly the same shape, and exactly the same size, then they are identical and we say they’re “congruent.”. In a pair of similar triangles, all three corresponding angle pairs are congruent and corresponding side pairs are ...How do we know when triangles are similar? Their corresponding angles have to be congruent. 2. 5. 4. 1. 2.5. 2. 4 ÷ 2 = 2. 2 ÷ 1 = 2. ... There are three ways to prove trangles similar. There are three ways to prove trangles similar. AA. There are three ways to prove trangles similar. ... Created with ...PROVING TRIANGLES SIMILAR quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K plays 4th - …
Similar Figures. 9.4K plays. 7th. Proving Triangles Similar & Similar Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! . Xbox controller won
👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle p...Our development team has been informed of the issue. This Similar Triangles Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:• …Solution: As we know, similar figures are figures containing the same shape but not necessarily the same size. Some of the examples of similar figures are: (i) All circles are similar figures. (ii) All equilateral triangles are similar figures. (iii) All right angle isosceles triangles are similar figures. 2.Determine whether the pair of triangles is similar. Justify your answer (AA, SSS, SAS) Identify the similar triangles. Find x and the measures of the indicated sides. Find AE if AB=12, AC=16, and ED=5. Find CD if AE=8, ED=4, and BE=6. If …Unit test. Test your understanding of Similarity with these % (num)s questions. Learn what it means for two figures to be similar, and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with polygons. Day 3: Proving Similar Figures; Day 4: Quiz 6.1 to 6.3; Day 5: Triangle Similarity Shortcuts; Day 6: Proportional Segments between Parallel Lines; Day 7: Area and Perimeter of Similar Figures; Day 8: Quiz 6.4 to 6.6; Day 9: Unit 6 Review; Day 10: Unit 6 Test; Unit 7: Special Right Triangles & Trigonometry . Day 1: 45˚, 45˚, 90˚ Triangles ...30 seconds. 1 pt. Which is NOT true about similar triangles. The angles in the triangles are congruent to each other. The sides are proportional to each other. The angles in each triangle add up to 180 o. The triangles must have at least one side that is the same length. Multiple Choice. Similar Triangles Pre-test quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... What similarity theorem would prove that these triangles are similar? SAS∼ ... Similar Figures 1.6K plays 8th - 9th 19 Qs . Similar Triangles 4.6K plays 9th - 12th 16 Qs . Proportion Word Problems 3.2K playsG.4.4 Explain the relationship between scale factors and their inverses and to apply scale factors to scale figures and. drawings; G.6.3 Use properties of congruent and similar …Example \(\PageIndex{8}\) A tree casts a shadow 12 feet long at the same time a 6 foot man casts a shadow 4 feet long. What is the height of the tree?Use the similar triangles below to find the height of the tree. 14.The tallest tree in the United States is a Coast Redwood in Jedidiah Smith State ... Find the value of x in each pair of similar figures. 1) 1) _____ F. 2) 2) _____ 18 . 3) 3) _____ E D‼️THIRD QUARTER‼️🔴 GRADE 9: INTRODUCTION TO SIMILAR TRIANGLES🔴 GRADE 9 PLAYLISTFirst Quarter: https://tinyurl.com/y5wjf97p Second Quarter: https ...FlexBook Platform®, FlexBook®, FlexLet® and FlexCard™ are registered trademarks of CK-12 Foundation.Proving Triangles Similar--7-3 quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Similar Figures 1.2K plays 7th 13 Qs . Similar Figures 3.7K plays 6th - 8th 10 Qs . Proportion Word Problems 70 plays 6th Build your own quiz. Create a new quiz. Browse from millions of quizzes. QUIZ . Proving ...Study with Quizlet and memorize flashcards containing terms like 1. RP is congruent to PS, RQ is congruent to QS : Given 2. PQ is congruent to PQ : Reflexsive Property 3. Triangle RPQ is congruent SPQ : SSS, 1. b midpoint AC, AD is congruent CD : Given 2. AB is congruent to BC : def. of midpoint 3. DB is congruent to DB : reflexsive property 4..