Question

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. X(3, –6) maps to X’(–3, 6) Y(1, –2) maps to Y’(–1, 2) Z(–1, –5) maps to Z’(1, 5) Which describes the rotation? mc015-1.jpg rotation mc015-2.jpg clockwise rotation mc015-3.jpg counterclockwise rotation mc015-4.jpg clockwise rotation

Answer 1

Answer with explanation:

Vertices of Triangle X Y Z →→ Pre-Image : X(3,-6),Y(1,-2),Z(-1,-5)

Vertices of Triangle X' Y' Z' →→ Image : X'(-3,6),Y'(-1,2),Z'(1,5)

→→Drawing the Triangle XYZ and X'Y'Z' on coordinate plane

→All sides are unequal in length, so it is a Scalene Triangle.

Joining Z and Z'

⇒And ,finding that , if we rotate Triangle X Y Z in Anti clockwise Direction  by an angle of 180°, it gives Triangle X'Y'Z'.

Option :Anti Clockwise Rotation by an angle of 180°

Answer 2

Answer:

180° rotation about the origin

Step-by-step explanation:

Analysing triangles XYZ and X'Y'Z' it can be seen that coordinates of point X (3, -6) were changed to (-3,  6), that is, (x, y) were changed to (-x, -y). The relation between Y and Y', and between Z and Z' is the same. A 180° rotation about the origin translates point (x, y) to point (-x, -y). In a 180° rotation, clockwise or counterclockwise rotation doesn't make any difference.