1 True or false: When a figure on a coordinate grid is translated down and to the right, the vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest y-coordinate in the image.
A. This statement is false. The relative values of the coordinates of the vertices depend on how far the figure is translated.
B. This statement is false. The vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the smallest y-coordinate in the image.
C. This statement is true.
D. This statement is false. The vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest x-coordinate in the image.
2. What are the coordinates of point B′ if the translation vector (7,−5) is applied to triangle ABC to produce the image triangle A′B′C′?
A. (−3,0)
B. (−1,2)
C. (5,−2)
D. (3,4)
3. What are the coordinates of point A′ if triangle ABC is rotated 90°90° to produce the image triangle A′B′C′?
A. (9,4)
B. (9,−4)
C. (4,−9)
D. (−9,−4)
4. What are the coordinates of point D′ if the translation vector (−4,−3) is applied to quadrilateral ABCD to produce the image quadrilateral A′B′C′D′?
A. (−2,−1)
B. (2,−2)
C. (−3,2)
D. (4,5)
5. What are the coordinates of point C′ if quadrilateral ABCD is reflected about the y-axis to produce the image quadrilateral A′B′C′D′?
A. (6,−1)
B. (1,6)
C. (−6,1)
D. (−6,−1)
1. A. This statement is false. The relative values of the coordinates of the vertices depend on how far the figure is translated.
2. C. (5,−2)
3. B. (9,-4)
4. C. (-3,2)
5. C. (-6,1)