Geometry (check answer)

Prove that the triangles with the given vertices are congruent.

A(3, 1), B(4, 5), C(2, 3)

D(-1, -3), E(-5, -4), F(-3, -2)

a
The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation. (x,y)--->(y, -x) Followed by a reflection (x, y)--->(x, -y)
b
The triangle are congruent because triangle ABC can be mapped to triangle DEF by a reflection. (x, y)---> (-x, y) Followed by a rotation (x, y)---> (-x, y)
c
The triangle are congruent because triangle ABC can be mapped to triangle DEF by a translation. (x, y)--->(x-4, y) Followed by translation (x,y)---> (x, y-6)
d
The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation. (x,y)---> (-y, x) Followed by a reflection (x, y)--->(x, -y)

is it b?

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  1. Nope. B just undoes itself.

    Look carefully at the numbers and check the others.

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    2. 👎 2
  2. Is it d?

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  3. Rectangle QRST has vertices Q(-6, -1), R(-3, 1), S(1,-5),andT(-2,-7) with the translation rule: (x,y)→(x+5,y+7). Q' would be

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