Geometry Unit 6
Homework: Similar Figures
Name: ___________________________
Determine whether the polygons are similar. If they are similar, write the similarity statement
and find the scale factor. If they are NOT similar, write “NOT similar”.
1.
2.
3.
 YES  NO
 YES  NO
 YES  NO
s.f. _____ TUVW ~ _______
s.f. _____ PNM ~ _______
s.f. _____ XYZ ~ _______
4. Given  ABC ~  LMN, complete the following.
a)  A   ___
c)
𝐴𝐵
𝐿𝑀
=
=
b)  N   ___
d) s.f. = ______
e) x = _____
The 2 polygons are similar. Name the similarity statement, find the scale factor, and the values
for x and y.
5.
6.
LMNP ~ _________
s. f. = _______
x = ______ y = ______
DEF ~  _______
s. f. = _______
x = ______ y = ______
7. Given FGHJ ~ KLMN, complete the following.
a) mF = ____
b) mG = ____
c) mH = ____
d) mN = ____
f) s. f. = _______
g) x = ______
h) y = _____
i) z = _____
j) ratio of the perimeters: ______
8.  JKL is similar to STU. The ratio of ST to JK is 5 to 2. The perimeter of STU is 35 feet. Find
the perimeter of  JKL.
TRUE/FALSE
9. A rectangle and a triangle can be similar. ________
10. Two equilateral triangles are always similar. _______
11. Two regular pentagons are always similar. ________
12. An obtuse triangle can be similar to an acute triangle. _______