Question

describe the transformation that maps figure abcd onto its image. figure abcd is dilated by a scale factor of

Explanation:

Step1: Identify corresponding points

Let's take point A(0,7) and its image A'(2,7).

Step2: Calculate scale - factor for x - coordinates

The x - coordinate of A is 0 and of A' is 2. The distance from the origin for A in x - direction is 0 and for A' is 2. If we consider another pair of corresponding points, say D(3,4) and D'(4,4). The change in x - coordinates from D to D' is from 3 to 4. The distance between corresponding points in x - direction has increased by a factor of 2 (e.g., if we assume the origin as the center of dilation, moving from x = 0 to x = 2 for A and A' or from x = 3 to x = 4 for D and D' shows a scale - factor of 2). Similarly, for y - coordinates, the y - coordinate of A is 7 and of A' is 7, for D the y - coordinate is 4 and of D' is 4. The figure is dilated by a scale factor of 2.

Answer:

2