Question

Triangle RST is congruent to triangle UVW. write the congruent statements comparing the corresponding parts. Then determine which transformations map triangle RST onto triangle UVW

Answer 1

From the picture, the corresponding parts are:

RT ≅ WU

TS ≅ VW

RS ≅ VU

Reflecting RST across y-axis, we get:

R(-4, -3) → R'(4, -3)

S(0, -3) → S'(0, -3)

T(-3, 0) → T'(3, 0)

Translating R'S'T' 4 units up and 2 units left, we get:

R'(4, -3) → (4 - 2, -3 + 4) → U(2, 1)

S'(0, -3) → (0 - 2, -3 + 4) → V(-2, 1)

T'(3, 0) → (3 - 2, 0 + 4) → W(1, 4)

RST is mapped onto UVW reflecting RST across y-axis, and then translating it 4 units up and 2 units left