4.1.3 Using Matrices to Transform Geometric Figures − Worksheet
Example 1: Translate the polygon with coordinates P (–2, 4), Q (3, 1), R (1, –4), and S (–2, –2) as indicated. Find the coordinates of the vertices of the image, and graph. 1. 2 units left and 1 unit up
2. 1 unit right and 0 units down
Example 2: Use a matrix to reduce or enlarge the polygon with coordinates P (–2, 4), Q (3, 1), R (1, –4), and S (–2, –2) by the given factor. Find the coordinates of the vertices of the image, and graph. 3. Reduce polygon PQRS by a factor of 0.5.
4. Enlarge polygon PQRS by a factor of 2.
Example 3: Reflect the figure with coordinates A (–2, 3), B (0, 4), C (2, 3), D (2, 1), and E (–1, –1) across the given line. Find the coordinates of the vertices of the image, and graph. 5. Reflect ABCDE across the y -axis. y
B
A
C
2
0 1 1 0
6. Use
to reflect ABCDE across the line y = x .
D
x
–4 –2
2
4
E
–2
201
Made with FlippingBook flipbook maker