the graph shows rectangles defg and defg. which of the following transformations maps defg onto defg…

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

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

Answer

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