7.2.3 Dilations and Similarity in the Coordinate Plane - Worksheet
Example 1: 1. A designer created this logo for a real estate agent but needs to make the logo twice as large for use on a sign. Draw the logo after a dilation with scale factor 2.
y
4
x
0
4
Example 2: 2. Given that △ AOB ~ △ COD , find the coordinates of C and the scale factor. y
3. Given that △ ROS ~ △ POQ , find the coordinates of S and the scale factor. y x P (10, 0) R (4, 0)
D (0, 15)
O
B (0, 6)
x
S
C
O
A (10, 0)
Q (0, –20)
Example 3: 4. Given: A (0, 0), B ( − 1, l), C (3, 2), D ( − 2, 2), and E (6, 4) Prove: △ ABC ~ △ ADE
5. Given: J ( − 1, 0), K ( − 3, − 4), L (3, − 2), M ( − 4, − 6), and N (5, − 3) Prove: △ JKL ~ △ JMN
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