4.1.3 Using Matrices to Transform Geometric Figures − Practice
1. Identify the matrix transformation of △ MNO , which has coordinates M (1, 3), N (5, 2), and O (3, − 3), that is translated 2 units left and 4 units up. Then identify the vertices of the image.
2. Identify the matrix transformation of △ XYZ , which has coordinates X ( − 2, − 2), Y (4, 1), and Z (0, 6), that is dilated by a factor of 2.5. Then find the vertices of the image.
3. Identify the matrix transformation of △ FGH , which has coordinates F (0, − 1), G (5, − 1), and H (4, 3), that is dilated by a factor of 1/4. Then identify the vertices of the image.
4. Identify the matrix transformation of △ PQR , which has coordinates P ( − 5, − 2), Q ( − 6, − 3), and R ( − 2, − 3), that is reflected across the x -axis. Then identify the vertices of the image.
5. Identify the matrix transformation of △ PQR , which has coordinates
6. Identify the matrix transformation of △ RST , which has coordinates R ( − 1, 1), S (2, − 2), and T ( − 3, 3), that is rotated 90°, clockwise. Then identify the vertices of the image.
P ( − 5, − 2), Q ( − 6, − 3), and R ( − 2, − 3), that is reflected across the y -axis. Then identify the vertices of the image.
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