1) Write a similarity statement for the three triangles shown. -A 2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short hypotenuse) 3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short, hypotenuse) a B.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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Name:
Pd:
Date:
Pythagorean Theorem Proof - Task 6
1) Write a similarity statement for the three triangles shown.
A
A A_
2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three
sides as the same 2 TYPES of sides (long, short, hypotenuse)
3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three
sides as the same 2 TYPES of sides (long, short, hypotenuse)
a
B.
4) Use cross-product property (cross multiply) to write BOTH proportions from 2) and 3) as equations.
5) You can add two equations by adding the two left sides and adding the two right sides together. Do this with your
equations from step # 4.
6) Re-write your equation for 5) by factoring cd + ce to get c(d + e).
7) Use Segment Addition Postulate and the triangle diagram to fill in the blanks: d+ e =
8) Substitute your answer for 7) into your equation for 6). What theorem have you found?
Special Right Triangles
Task 7: Solve for the missing sides.
DELL
Transcribed Image Text:Name: Pd: Date: Pythagorean Theorem Proof - Task 6 1) Write a similarity statement for the three triangles shown. A A A_ 2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short, hypotenuse) 3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short, hypotenuse) a B. 4) Use cross-product property (cross multiply) to write BOTH proportions from 2) and 3) as equations. 5) You can add two equations by adding the two left sides and adding the two right sides together. Do this with your equations from step # 4. 6) Re-write your equation for 5) by factoring cd + ce to get c(d + e). 7) Use Segment Addition Postulate and the triangle diagram to fill in the blanks: d+ e = 8) Substitute your answer for 7) into your equation for 6). What theorem have you found? Special Right Triangles Task 7: Solve for the missing sides. DELL
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