Question

∆ABC is reflected across the y-axis and translated 3 units up to create ∆XYZ. Select all statements that are true about ∆ABC and ∆XYZ.

Answer 1

∆ABC is congruent to ∆XYZ.

Corresponding sides of ∆ABC and ∆XYZ are not congruent.

Corresponding angles of ∆ABC and ∆XYZ are congruent.

Explanation:

Answer 2

Explanation:

Suppose A is (-3,6) when it starts out.

• When A is reflected across the y axis, it takes on the opposite sign.
• -3 becomes + 3
• Nothing happens to the y value of the point from this transformation
• The new point is X(3,6)

Now we take the reflected point and move it three units. up

• Up means increase the y value of the new point (X)
• The y value = 6
• Increase the y value by 3
• This makes 6 + 3 = 9
• So after all that X becomes (3,9)