Question

16) Select the sequence of transformations that will carry triangle A onto triangle A'Atranslate 6 units down, then reflect acrossA)'the y-axis5B) reflect over the y-axis, reflect over the x-axis,then 2 units upC)reflect over the x-axis, translate 2 units up,then 8 units left-5D)reflect over the x-axis, rotate 90° clockwise,then translate 4 units down

Answer 1

C

16) Let's first locate the points that make up the pre-image A, and the image A' picking them from each one of those three vertices.

A

(-3,5)

(-5, 5)

(-5,3)

A'

(5,-1)

(5,-3)

(3,-3)

16.2) Then let's pick just one point and apply the transformations, in this case, let's pick point (-3,5)

Counting on the graph

So if we reflect it over the x-axis, we'll get from (-3,5) to (3,-5) and translating up two units, we'll arrive at (-3,-3) and finally to (5,-3) one of the coordinates of the Image A'

16.3) Hence, the answer is C