Question

Perform a glide reflection over the x-axis and 6 units to the right. Write the new coordinates. Then complete the translation. Thanks.

Answer 1

After reflection, the coordinates would be A(-6,-8) B(-2,-6) C(-4,-2) and D(-8,-4). After translation, the coordinates would be A(0,-8) B(4,-6) C(2,-2) and D(-2,-4).

Explanation:

If the figure ABCD consists of 4 points and we want to reflect this across the x-axis, then the y coordinate values of A, B, C and D will be negated. So,

(-6,8) becomes (-6,-8)

(-2,6) becomes (-2,-6)

(-4,2) becomes (-4,-2)

and (-8,4) becomes (-8,-4).

Now that we know what the reflection is, we translate it 6 units to the right. Therefore, the x value of each coordinate is increased by 6.

(-6,-8) becomes (0,-8)

(-2,-6) becomes (4,-6)

(-4,-2) becomes (2,-2)

and (-8,-4) becomes (-2,-4)

Hope this helped!