Class work 12 Unit 2- Similarity and Similar Triangles
Standard: Understand similarity in terms of similarity transformations MCC9-12.G.SRT.2 Given two figures, use the definition of similarity in terms of similarity
transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs
of angles and the proportionality of all corresponding pairs of sides. MCC9-12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion
for two triangles to be similar Prove theorems involving similarity MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of
a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarityMCC9-12.G.SRT.5 Use congruence and
similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Name______________________________________________
1.
Rectangle CUTE was dilated to create rectangle UGLY. Find
the length of LY.
C 8 cm
3 cm
E
U
U
7.5 cm
Y
T
Date_________________ Period__________
2. Find the length of
A
G
L
4m
after the dilation.
A’
6m
10 m
B
B’
3.
Determine which of the following figures could be a dilation of the triangle to the right. (There could be more than one answer)
A
C
B
20 in.
6 in.
D
16 in.
8 in.
30 in.
6 in.
2.25 in.
3 in.
10 in.
5 in.
Determine if each pair of triangles is similar. If they are similar, complete the similarity statement and state the method used to
prove the similarity.
4.
5.
Similar: Y or N
Why: _________
Similarity Statement:
_______
6.
Similar: Y or N
Why: _________
Similarity Statement:
_______
7.
Why: _________
Similarity Statement:
8.
Similar: Y or N
_______
Similar: Y or N
Why: _________
Similarity Statement:
9.
_______
Similar: Y or N
Similar: Y or N
Why: _________
Why: _________
Similarity Statement:
Similarity Statement:
10.
Similar: Y or N
_______
11.
Why: _________
Similarity Statement:
_______
Similar: Y or N
Why: _________
Similarity Statement:
Use what you know about similarity to solve for x using the given information
12. Given
13. Given
14. Given
_______
15. Given
_______