Question

the graph shows parallelograms cdef and cdef. which of the following transformations maps cdef onto cdef? translation left 8 units, translation left 14 units, reflection across the x - axis, reflection across the y - axis, rotation 90° clockwise around the origin, rotation 90° counterclockwise around the origin, rotation 180° around the origin

Explanation:

Step1: Analyze a vertex (e.g., C)

Find coordinates of C: Let's say C is at (5, -10) (from graph). C' is at (-9, -10).

Step2: Calculate horizontal change

Change in x: \(-9 - 5 = -14\), so translation left 14 units. Check other vertices (e.g., D: D(4, -5), D'(-10, -5); \( -10 - 4 = -14\)) confirms.

Answer:

translation left 14 units