Question

What series of transformation map ABC onto DEF to prove that ABC DEF

Answer 1

In the given diagram we have:

A(5,2)

B(5,6)

C(2,2)

Therefore:

- A clockwise rotation of 180 degrees about the origin takes the triangle to the points (x,y) --> (-x,-y) so:

A'(-5, -2)

B'(-5, -6)

C'(-2, -2)

- A translation of 1 unit to the right and 3 units up results in:

A"(-5 + 1, -2 + 3) = A"(-4, 1)

B"(-5 + 1, -6 + 3) = B"(-4, -3)

C"(-2 + 1, -2 + 3) = C"(-1, 1)

Which corresponds to points DEF. Therefore, the series of transformations on ABC to result in DEF is a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up.

Answer: D.