Question Below:

Question

Points A(3,−9), B(−5,−3) and C(−5,−2) are the vertices of a triangle. What are the coordinates A′, B′ and C′ that result from reflecting the triangle across the x-axis, and translating it 3 units right and 5 units down?

Answer 1

For the reflection on the x axis, the sign of the y values will change to the opposite of what they are.

A(3,−9), B(−5,−3), C(−5,−2)

Reflect on x axis

A(3,9), B(−5,3), C(−5,2)

Translate 3 right, add 3 to the x coordinates and 5 down, subtract 5 from the y coordinate

A(3+3,9-5), B(−5+3,3-5), C(−5+3,2-5)

A'(6,4), B'(-2,-2), C'(-2,-3)