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21 votes
21 votes
If the given ΔXYZ is rotated by 180 degrees around point X in a clockwise direction, what are the new coordinates of the Y and Z vertices? Select the two correct answers.

If the given ΔXYZ is rotated by 180 degrees around point X in a clockwise direction-example-1
User Edy Aguirre
by
2.6k points

2 Answers

11 votes
11 votes

Answer

C/D

Explanation:

User Voddan
by
3.0k points
8 votes
8 votes

Answer:

Options C and D

Explanation:

From the graph attached,

Coordinates of the vertices,

X → (0, 0)

Y → (-1, -2)

Z → (0, -2)

Rule for the rotation of a point (h, k) by 180° about the origin is given by,

(h, k) → (-h, -k)

By this rule,

Coordinates of the image points will be,

X(0, 0) → X'(0, 0)

Y(-1, -2) → Y'(1, 2)

Z(0, -2) → Z'(0, 2)

Therefore, Option (C) and Option (D) are the correct options.

User Sagar Damani
by
2.3k points