Question

Parallelogram ABCD is reflected over the x-axis. What rule shows the input and output of the reflection, and what is the new coordinate of A'? (1 point) Parallelogram ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 1, 3. D is at negative 2, 1. Group of answer choices (x,y)→(y,−x); A' is at (1, 5) (x,y)→(−y,x); A' is at (−1, −5) (x,y)→(−x,y); A' is at (5, 1) (x,y)→(x,−y); A' is at (−5, −1)

Answer 1

Given:

Parallelogram ABCD is reflected over the x-axis.

In parallelogram ABCD, A is at (-5, 1), B is at (-4, 3), C is at (-1, 3) and D is at (2,1).

To find:

The rule shows the input and output of the reflection.

The new coordinate of A'.

Solution:

If a figure reflected over the x-axis, then rule for the input and output of the reflection is

$(x,y)\to (x,-y)$

Point A is at (-5, 1).

$A(-5,1)\to A'(-5,-1)$

New coordinate of A' are (-5,-1).

Therefore, the correct option is d.