Question

The coordinates of the vertices of FGH are F (-4,1), G (-3,-2) and H (-5,5)

The coordinates of the vertices of F’G’H are F’ (4,4), G’ (3,1), and H’ (5,8)

Drag and drop the answers into the boxes to correctly complete the statement.

A sequence of transformations that maps FGH to F’G’H’ is a ________ followed by a ________

A. Translation 3 units up
B. Translations 3 units left
C. Reflection across y-axis
D rotation of 180 degrees about the origin.

Answer 1

A. Translation 3 units up

C. Reflection across y-axis

Explanation:

reflect across y-axis mapping rule (x,y) > (-x,y)

translation k units up rule (x,y) > (x,y+k)

Answer 2

In either order ...

• A. Translation 3 units up
• C. Reflection across y-axis

Explanation:

The x-coordinates of the image are the opposite of the x-coordinates of the figure, so a reflection across the y-axis has occurred.

The y-coordinates of the image are 3 greater than the y-coordinates of the figure, so a translation upward by 3 units has occurred.

The translation upward and the reflection across the y-axis are independent transformations, so could occur in either order.

The answer could be A, C or C, A.