7 3 Proving Triangles Similar Objectives By the
![7. 3 Proving Triangles Similar • Objectives • By the end of this lesson, 7. 3 Proving Triangles Similar • Objectives • By the end of this lesson,](https://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-1.jpg)
7. 3 Proving Triangles Similar • Objectives • By the end of this lesson, I will be able to use the AA~ postulate, as well as the SAS~ and SSS~ Theorems when dealing with similar triangles • I will also be able to use similarity to ingeniously find indirect measurements
![7. 3 Proving Triangles Similar • Angle-Angle Similarity (AA ~) Postulate – If two 7. 3 Proving Triangles Similar • Angle-Angle Similarity (AA ~) Postulate – If two](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-2.jpg)
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 Using the AA ~ Postulate • Are the two triangles similar? How do you](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-3.jpg)
Using the AA ~ Postulate • Are the two triangles similar? How do you know? a. Triangle RSW and Triangle VSB. b. Triangle JKL and Triangle PQR. a. Similar b. Not similar.
![Side-Angle-Side Similarity (SAS ~) Theorem • If an angle of one triangle is congruent Side-Angle-Side Similarity (SAS ~) Theorem • If an angle of one triangle is congruent](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-4.jpg)
Side-Angle-Side Similarity (SAS ~) Theorem • If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar.
![Side-Side Similarity (SSS ~ ) Theorem • If the corresponding sides of two triangles Side-Side Similarity (SSS ~ ) Theorem • If the corresponding sides of two triangles](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-5.jpg)
Side-Side Similarity (SSS ~ ) Theorem • If the corresponding sides of two triangles are proportional, then the triangles are similar.
![Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-6.jpg)
Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement for the triangles. • Yes, Triangle STU ~ Triangle XVW by the SSS Similarity Theorem.
![Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-7.jpg)
Verifying Triangle Similarity • Are the triangles similar? If so, write a similarity statement for the triangles. • Yes, Triangle KLP ~ Triangle KMN by the SAS Similarity Theorem.
![Indirect Measurement • You can use indirect measurement to find lengths that are difficult Indirect Measurement • You can use indirect measurement to find lengths that are difficult](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-8.jpg)
Indirect Measurement • You can use indirect measurement to find lengths that are difficult to measure directly. – One method of indirect measurement uses the fact that light reflects off a mirror at the same angle at which it hits the mirror.
![Finding the Length of Similar Triangles • Before rock climbing, Darius wants to know Finding the Length of Similar Triangles • Before rock climbing, Darius wants to know](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-9.jpg)
Finding the Length of Similar Triangles • Before rock climbing, Darius wants to know high he will climb. He places a mirror on the ground and walks backward until he can see the top of the cliff in the mirror. What is the height of the cliff?
![Finding Lengths in Similar Triangles Triangle HTV ~ Triangle JSV – AA~ Postulate Finding Lengths in Similar Triangles Triangle HTV ~ Triangle JSV – AA~ Postulate](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-10.jpg)
Finding Lengths in Similar Triangles Triangle HTV ~ Triangle JSV – AA~ Postulate
![More Practice!!!!! • In-class practice: Textbook p. 455 – 456 # 7 – 12, More Practice!!!!! • In-class practice: Textbook p. 455 – 456 # 7 – 12,](http://slidetodoc.com/presentation_image_h/79c4fd2ca3aa389a781dd053faf49cd3/image-11.jpg)
More Practice!!!!! • In-class practice: Textbook p. 455 – 456 # 7 – 12, 15, 16, 17. • Additional Assignment : Math. XL assignment (which includes tomorrow’s 7. 4 lesson) due Wednesday 1/13/2016 • Exit ticket…….
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