Chapter 8 Similarity.

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Presentation transcript:

Chapter 8 Similarity

Section 4 Similar Triangles

GOAL 1: Identifying Similar Triangles In this lesson, we will continue the study of similar polygons by looking at properties of similar triangles.

Example 1: Writing Proportionality Statements In the diagram, ∆𝐵𝑇𝑊 ~ ∆𝐸𝑇𝐶. Write the statement of proportionality. Find m<TEC. Find ET and BE.

Example 2: Proving that Two Triangles are Similar Color variations in the tourmaline crystal shown lie along the sides of isosceles triangles. In the triangles each vertex angle measures 52°. Explain why the triangles are similar.

Example 3: Why a Line Has Only One Slope Use properties of similar triangles to explain why any two points on a line can be use to calculate the slope. Find the slope of the line using both pairs of points shown.

GOAL 2: Using Similar Triangles in Real Life Example 4: Using Similar Triangles 400=3h 𝑓 ℎ = 𝑛 9 8 ℎ = 3 50 h = 133.3 𝑓=8 n = 3 g=50

Example 5: Using Scale Factors Find the length of the altitude QS.

EXIT SLIP

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