Question

the graph shows rectangles defg and defg. which of the following transformations maps defg onto defg? translation left 7 units and up 5 units translation left 13 units and up 2 units reflection across the x - axis reflection across the y - axis

Explanation:

Step1: Identify coordinates of a point

Let's take point D in rectangle DEFG. Assume D has coordinates (6,1). In rectangle D'E'F'G', the corresponding point D' has coordinates (- 7,6).

Step2: Calculate horizontal and vertical change

The horizontal change (x - direction) from D to D' is $-7 - 6=-13$ (left 13 units). The vertical change (y - direction) from D to D' is $6 - 1 = 5$ (up 5 units).

Step3: Check transformation

A translation left 13 units and up 5 units maps point D(6,1) to D'(-7,6). We can check other points of the rectangle in the same way and find that the transformation that maps DEFG onto D'E'F'G' is a translation left 13 units and up 5 units.

Answer:

translation left 13 units and up 5 units