Question

A. Transform F using the rule (x, y) → (-x, y)

B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?

Answer 1

A: Use these points to plot the shapes reflection (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C: The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Explanation:

So our plots from the figure are: (3,4) (3,6) (5,6) (7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)