'Sas similarity theorem' presentation slideshows

Chapter 7.2 and 7.3

Chapter 7.2 and 7.3. Similar Polygons and Triangles. Concept. Use a Similarity Statement. If ? ABC ~ ? RST , list all pairs of congruent angles and write a proportion that relates the corresponding sides. A. ? HGK ? ? QPR B. C. ? K ? ? R D. ? GHK ? ? QPR.

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Concept

Concept. Use the AA Similarity Postulate. A. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Example 1. Since m ? B = m ? D , ? B ? D. Since m ? E = 80, ? A ? E. Use the AA Similarity Postulate.

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7-3 Similar Triangles

You used the AAS, SSS, and SAS Congruence Theorems to prove triangles congruent. 7-3 Similar Triangles. Identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorems. Use similar triangles to solve problems. Checking Up.

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Bellwork

Clickers. Bellwork. Determine whether the two triangles are similar Set 1 ? ABC: m ? A=90 o , m ? B=44 o ? DEF: m ? D=90 o , m ? F=46 o Set 2 ? ABC: m ? A=132 o , m ? B=24 o ? DEF: m ? D=90 o , m ? F=24 o Solve for x

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6.4 and 6.5 Congruent and Similar Triangles

6.4 and 6.5 Congruent and Similar Triangles. Similar and Congruent Figures. Congruent polygons have all sides congruent and all angles congruent. Similar polygons have the same shape; they may or may not have the same size. Tests for Congruency. Ways to prove triangles congruent :

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Concept

Concept. Use the AA Similarity Postulate. A. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Example 1. Since m ? B = m ? D , ? B ? D. Since m ? E = 80, ? A ? E. Use the AA Similarity Postulate.

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Bell Ringer

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Similarity

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Proving Triangles are Similar

Proving Triangles are Similar. Lesson 8-5. Content Objective. Apply SSS and SAS Similarity Theorems. Language Objectives. State: SSS Similarity Theorem SAS Similarity Theorem. Recall. Definition of Similar Polygons Scale Factor AA Similarity Postulate. SSS Similarity Theorem.

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8.5 Proving Triangles are Similar

8.5 Proving Triangles are Similar. Side-Side-Side (SSS) Similarity Theorem. If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. If AB = BC = CA PQ QR RP, then, ? ABC ~ ? PQR. P. A. Q. R. C. B. Exercise.

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Triangle Similarity

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7.3 Proving Triangles Similar

7.3 Proving Triangles Similar. Angle-Angle Similarity (AA ~) Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Using the AA ~ Postulate. Are the two triangles similar? How do you know? Triangle RSW and Triangle VSB.

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CHAPTER 8: Sections 8.1-8.3

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Proving Triangles are Similar

Proving Triangles are Similar. Using Similarity Theorems. In this lesson, you will study 2 alternate ways of proving that two triangles are similar: Side-Side-Side Similarity Theorem (SSS) and the Side-Angle-Side Similarity Theorem (SAS). Side Side Side(SSS) Similarity Theorem.

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Similar Triangles

Similar Triangles. December 16-20, 2013. Big Ideas. Students will write ratios, write and solve proportions, and identify similar polygons using the AA Similarity postulate and the SS and SAS Similarity Theorem. Essential Question. How can two objects be similar?

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SIMILAR

Retrieved 9.14.14 from: (only visit websites with parental permission) paccadult.lbpsb.qc.ca/eng/extra/img/ Similar %20 Triangles . ppt. SIMILAR. TRIANGLES. A. D. E. B. F. C. = =. BC. AB. AC. EF. DF. DE.

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SIMILAR

Retrieved 9.14.14 from: (only visit websites with parental permission) paccadult.lbpsb.qc.ca/eng/extra/img/ Similar %20 Triangles . ppt. SIMILAR. TRIANGLES. A. D. E. B. F. C. = =. BC. AB. AC. EF. DF. DE.

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EXAMPLE 1

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EXAMPLE 1

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