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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

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

Respuesta :

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