'Triangle angle bisector theorem' presentation slideshows

Similarity Ratios and Proportions

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Chapter 7.4 and 7.5

Chapter 7.4 and 7.5. Parallel Lines and Proportional Parts and Parts of Similar Triangles. Concept. Find the Length of a Side. A. 2.29 B. 4.125 C. 12 D. 15.75. Concept. Determine if Lines are Parallel. A. yes B. no C. cannot be determined.

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Chapter 7.4 and 7.5

Chapter 7.4 and 7.5. Parallel Lines and Proportional Parts and Parts of Similar Triangles. Concept. Find the Length of a Side. A. 2.29 B. 4.125 C. 12 D. 15.75. Concept. Determine if Lines are Parallel. A. yes B. no C. cannot be determined.

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Similarity Theorems

Similarity Theorems. Similarity in Triangles. Angle-Angle Similarity Postulate (AA~) - If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. W. V. S. 45 ?. 45 ?. ?WRS ? ?BVS because of the AA~ Postulate. R. B.

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Similarity Theorems

Similarity Theorems. Similarity in Triangles. Angle-Angle Similarity Postulate (AA~) - If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. W. V. S. 45 ?. 45 ?. ?WRS ? ?BVS because of the AA~ Postulate. R. B.

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Introduction

Introduction

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Use properties of similar triangles to find segment lengths.

Objectives. Use properties of similar triangles to find segment lengths. Apply proportionality and triangle angle bisector theorems.

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AKS 45 Theorems about Triangles

AKS 45 Theorems about Triangles . Warm Up . State 3 ways to determine triangle similarity. 1. AA Similarity Postulate 2. SAS Similarity Theorem 2. SSS Similarity Theorem. Side Splitting Theorem . A line parallel to one side of the triangle divides the other two sides proportionally.

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Proportions in Triangles

Proportions in Triangles. Side-Splitter Theorem. Theorem 7-4: Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. OR. Side-Splitter Proof. Statements. Reasons. 1. 2. 3. 4. 5. 6. 7.

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Warm Up Solve each proportion. 1. 2. 3. 4.

Warm Up Solve each proportion. 1. 2. 3. 4. Objectives. Use properties of similar triangles to find segment lengths. Apply proportionality and triangle angle bisector theorems. It is given that , so by the Triangle Proportionality Theorem.

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Unit 4.11 Notes

Proportions in Triangles. Unit 4.11 Notes. Remember the similar triangles that look like this:. Notice: Parallel Lines. Remember the similar triangles that look like this:. The length of TR is x+16. The length of TV is 15.

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8-4 Proportions in Triangles

8-4 Proportions in Triangles. Class Notes and Examples. Theorem 7-4: Side-Splitter Theorem. If a line runs through a triangle, parallel to one side, then it cuts the sides it crosses proportionally. Corollary to Side-Splitter Theorem.

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