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Geometry
Name: _________________________________
Worksheet 4 - 2
Date: __________________ Period:__________
For numbers 1- 4, ∆ABC is similar to ∆DEF.
B
1. Fill in the following ratios with the corresponding sides.
y
8
AB BC
AC


DE
2. What is the scale factor?
A
C
16
E
Scale Factor = __________
9
x
D
F
12
3. Using the scale factor, find x and y.
x = ________
y = ________
4. Recall that in similar triangles the angles are congruent. Find
mA
.
mD
________
For numbers 5 - 9, quadrilateral ABCD is similar to quadrilateral EFGH.
5. Fill in the following ratios with the corresponding sides.
4
B
C
5
AB BC
AD



EF
GH
A
6. What is the scale factor?
Scale Factor = __________
D
8
G
F
2
7. Using the scale factor, find AB, HG, and FG.
H
6
E
AB = ______, HG = ______, and FG =______
8. Find the perimeter of ABCD and EFGH.
ABCD = __________________
EFGH = __________________
9. a) Find the ratio of the perimeter ABCD to perimeter EFGH.
ratio = __________________
b) What do you notice about the ratio?
For problems 10 – 11, each pair of polygons is similar. Find x and y.
10.
x = _______, y = _______
11. x = _______, y = _______
x
18
30
24
20
y
24
18
8
14
28
y
x