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

Question

3 years ago

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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

Mathematics

2 answers:

Advocard [28] · Answer 1 · 2022-04-29T10:40:41+03:00

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°

zhannawk [14.2K] · Answer 2 · 2022-04-29T11:58:23+03:00

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.