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## PowerPoint Slideshow about ' Chapter 8 Lesson 3' - herrod-garza

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### Chapter 8 Lesson 3

Objective: To apply AA, SAS, and SSS similarity.

Name the triangles congruent.SIMILARITY postulate or theorem you can use to prove the triangles congruent.

AA~

SAS~

SSS~

Example 1: triangles congruent.Finding Lengths in Similar Triangles

Explain why the triangles are similar. Write a similarity statement. Then find DE.

Because vertical angles are congruent.

ΔABC ~ ΔEBD by the SAS~ Theorem.

Example 2: triangles congruent.Finding Lengths in Similar Triangles

Find the value of x in the figure.

Indirect Measurement is when you use similar triangles and measurements to find distances that are difficult to measure directly.

Example 3: measurements to find distances that are difficult to measure directly.Indirect Measurement

Geology Ramon places a mirror on the ground 40.5 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. At that point, Ramon's eyes are 6 ft above the ground and he is 7 ft from the image in the mirror. Use similar triangles to find the height of the geyser.

∆HTV ~ ∆JSV

The geyser is about 35 ft. high.

Example 4: measurements to find distances that are difficult to measure directly.Indirect Measurement

In sunlight, a cactus casts a 9-ft shadow. At the same time a person 6 ft tall casts a 4-ft shadow. Use similar triangles to find the height of the cactus.

X

6

4

9

Assignment measurements to find distances that are difficult to measure directly.

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