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Similarity Theorems

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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Chapter 9

Chapter 9

Chapter 9. Section 9.8 Proportional Segments. Triangle Proportional Thm. If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. Example: Find x. 4 cm. 3 cm. 2 cm. x. Corollary.

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AKS 45 Theorems about Triangles

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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313 views • 12 slides
Honors Geometry Section 8.4 The Side-Splitting Theorem

Honors Geometry Section 8.4 The Side-Splitting Theorem

Honors Geometry Section 8.4 The Side-Splitting Theorem. We can use similar triangles to find the measures below. Why is ?. We can use similar triangles to find the measures below. Why is ?. AC = _____ ED = _____ AD = _____ BE = _____.

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Proportions in Triangles

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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1.16k views • 11 slides
8.5 Three Theorems Involving Proportion

8.5 Three Theorems Involving Proportion

8.5 Three Theorems Involving Proportion. Objective: After studying this section, you will be able to apply three theorems frequently used to establish proportionality.

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Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem

Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem

Section 8-5 Proportions in Triangles SPI 22B: apply ratio and proportion to solve real-world problems involving polygons. Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem. Similar triangles can be used

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275 views • 8 slides
AB BD

AB BD

TRIANGLE PROPORTIONALITY THEOREM: a line drawn parallel to any of the sides of a triangle divides the other two sides proportionally. A. AB BD. AC CE. =. BC divides AD and AE proportionally. B. C. E. D. USE IT!. Find the length of AE. C. 6. B. 4. A. D. E. 9.

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203 views • 5 slides

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