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8.4: Congruence and Proportion in Similar Triangles PowerPoint PPT Presentation

8.4: Congruence and Proportion in Similar Triangles. If triangles are similar then: Corresponding angles are congruent Corresponding sides are proportional. Just like CPCTC…. C A S T C. C S S T P. orrseponding. orrseponding. ngles of. ides of. imilar. imilar. riangles are.

8.4: Congruence and Proportion in Similar Triangles

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8.4: Congruence and Proportion in Similar Triangles

• If triangles are similar then:

• Corresponding angles are congruent

• Corresponding sides are proportional

C

A

S

T

C

C

S

S

T

P

orrseponding

orrseponding

ngles of

ides of

imilar

imilar

riangles are

riangles are

roportional

ongruent

CASTC

CSSTP

Given:

Prove: ∠A≅∠L

C

E

A

B

L

Given: ∠F≅∠A

Prove:

F

O

R

A

Y

Example 3

Given: OS∥LD

Prove: FO∙LD=FL∙OS

F

O

S

L

D

Example 4

An observer found that a tree cast 40 foot tree cast a 20 foot shadow. A nearby tree cast a 18 foot shadow. How tall is the second tree?

Homework

p. 348 3, 5-9, 14, 17