Question

A

B
A
C
-8-7-6-5-4-3-2-19
D
NWU
D
m+
3
2
-INY
-2
-3
-4
-5
-7
-8
Parallelogram ABCD is to be reflected across the x-axis. Which of the following rules describes that transformation?
(x, y) → (y,x)
(x,y) → (x, y)
(x, y) → (x, y)
(x, y) → (x, y)
B

Answer 1

To reflect parallelogram ABCD across the x-axis, the transformation rule is (x, y) → (x, -y). This keeps the x-coordinate the same but inverts the sign of the y-coordinate.

Step-by-step explanation:

The question is asking for the transformation rule that describes a reflection of parallelogram ABCD across the x-axis. The correct rule for reflecting a point across the x-axis is (x, y) → (x, -y). This rule means that for any given point on the parallelogram, its x-coordinate remains the same, but its y-coordinate is multiplied by -1, thus reflecting it across the x-axis.

As a visual aid, if you have a point at (3, 2) before the reflection, after applying the transformation rule, the new coordinates of the point would be (3, -2), which lies directly across the x-axis from the original point. Applying this rule to all the vertices of the parallelogram ABCD will give us the reflected parallelogram on the opposite side of the x-axis, with the x-coordinates of the vertices unchanged.