Question

Which sequence of transformations will certainly work to take triangle XYZ to triangle STU?

a) Translate XYZ by the directed line segment XB. Rotate X'Y'Z' using B as the center by angle Y'AB. Reflect X''Y''Z'' over AB.
b) Translate XYZ by the directed line segment XA. Rotate X'Y'Z' using A as the center by angle Y'AB. Reflect X''Y''Z'' over AB.
c) Rotate XYZ using X until XY is lines with ST and then reflect over a line halfway between X'Y'Z' and ABC.
d) Translate XYZ by the directed line segment XA. Translate X'Y'Z' by the directed line segment Y'T. Translate X''H''J'' by the directed line segment J''T.

Answer 1

The correct sequence of transformations to take triangle XYZ to triangle STU is option a) Translate XYZ by the directed line segment XB. Rotate X'Y'Z' using B as the center by angle Y'AB. Reflect X''Y''Z'' over AB.

Step-by-step explanation:

The correct sequence of transformations to take triangle XYZ to triangle STU is option a) Translate XYZ by the directed line segment XB. Rotate X'Y'Z' using B as the center by angle Y'AB. Reflect X''Y''Z'' over AB.