Question

WHAT IS THE REFLECTION RULE THAT MAPS THE GIVEN TRIANGLE AND ITS IMAGE?

A (1, 0) B (-5, 2) C (4, -4)

A' (-9, 0) B' (-3, 2) C' (-12, -4)

Answer 1

Translation.

Explanation:

It can only be a translation bc it has not been reflected

Answer 2

• See below

Explanation:

We observe the y-coordinates remain same and the midpoint of the x-coordinates are same:

• (1 - 9) / 2 = - 4
• (-5 - 3) / 2 = - 4
• (- 4 - 4) / 2 = - 4

It is x = -4 and this line is the reflection mirror.

See attached for better visual.

So the rule is:

• Reflection over the x = - 4 line