Math 2 Chapter 4 Study Guide
Similarity
Name:________________________
Period:____
1) Given the pre-image complete the dilation and list the new coordinates.
2) ∆JKL has vertices J(6, 0), K(8, -4), and L(2, 12). What are the vertices of the image
after a dilation with a scale factor of
𝟕
𝟐
using the origin as the center of dilation?
3) Given each figure decide it the triangles similar? If they are write a similarity
statement, explain how you know, and justify each side/angle.
4) Given the figures are similar. Find the scale factor and missing side lengths.
.
5) Complete each statement given that you know two shapes are similar…
Corresponding angles are _________________________________.
Corresponding sides are __________________________________.
̅̅̅̅ is parallel to 𝑿𝒀
̅̅̅̅.
6) Determine if 𝑨𝑩
a)
b)
Z
22
27
12
A
Y
B
9
6
X
10
A
B
11
27
Z
8
X
3
7) Given each figure solve for x or the missing side.
Y
27
3
8) Determine if the following side lengths can make a right triangle.
a) 6, 8, 10
b) 2, 7, √𝟓𝟏
c) 3, 5, √𝟑𝟒
d) 2, 4, 5
e) √𝟑𝟒, √𝟔𝟔, 10
9) Draw a picture and solve each scenario
Review Problems
10) Determine the missing angle measure.
11) Find the distance between the points
A
31°
(2 ,1) & (3,-7)
20°
B
(6,-5) & (-2,1)
C