Question

1) Square ABCD has side lengths of 12. Pre-image ABCD is

reflected across the x-axis and then translated 4 units left
and 2 units down. What are the side lengths of the image
A'B'C'D'?

Answer 1

To find the side lengths of the image A'B'C'D', we can follow these steps:

1) Reflection across the x-axis:

The reflection across the x-axis will flip the pre-image ABCD upside down. The side lengths will remain the same, so the length of side AB' will still be 12 units.

2) Translation 4 units left and 2 units down:

The translation will move the image A'B'C'D' 4 units to the left and 2 units down from its reflected position. This means that each point will be shifted horizontally 4 units to the left and vertically 2 units down.

For example, point A' will move from its reflected position to a new position that is 4 units to the left and 2 units down from the original position of point A. Similarly, points B', C', and D' will also move in the same way.

3) Finding the side lengths of the image A'B'C'D':

The side lengths of the image A'B'C'D' can be determined by measuring the distance between the transformed points.

Since the side lengths of the pre-image ABCD are all 12 units, the side lengths of the image A'B'C'D' will also be 12 units.

So, the side lengths of the image A'B'C'D' are 12 units each.

Explanation:

Hope This Helps