Question

The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x+4, y+6), give the vertices of △A′B′C′.

PLEASE HELPPPP

Answer 1

A' = (6, 3)

B' = (1, 1)

C' = (8, 7)

Explanation:

Vertices of triangle ABC:

• A = (2, -3)
• B = (-3, -5)
• C = (4, 1)

Given mapping rule:

(x, y) → (x + 4, y + 6)

This notation tells you that the x-coordinate is translated 4 units to the right, and the y-coordinate is translated 6 units up.

Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':

⇒ A' = (2 + 4, -3 + 6) = (6, 3)

⇒ B' = (-3 + 4, -5 + 6) = (1, 1)

⇒ C' = (4 + 4, 1 + 6) = (8, 7)