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Question 6
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation Find the value of c and the value of d.
Step 1
Answer
To find the value of c, we first reflect shape A across the x-axis. This changes the y-coordinate of each vertex of shape A. Since the vertices of shape A are at (1, 3) and (2, -1), after reflection, they become (1, -3) and (2, 1). The next step involves translating the reflected shape A to match shape B, which has vertices at (2, -6) and (3, -3).
To find the translation needed, we compare the respective vertices. From (1, -3) to (2, -6), the translation vector is (1, -3) since:
Thus, we have:
Step 2
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