AnswersGeometryRotations — QuizQuestion 11
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Rotations — Quiz

Question 11 • Geometry

A triangle has vertices at cap l times open paren 2 comma 2 close paren , cap m times open paren 4 comma 4 close paren , and cap n times open paren 1 comma 6 close paren The triangle is transformed according to the rule cap r sub 0 comma 180 degrees Which statements are true regarding the transformation? Choose three correct answers.

Answer
A
The coordinates of cap n prime are open paren 6 comma negative 1 close paren .
B
The coordinates of cap n prime are open paren negative 1 comma negative 6 close paren .
C
The coordinates of cap m prime are open paren negative 4 comma 4 close paren .
D
The coordinates of cap l prime are open paren negative 2 comma negative 2 close paren .
E
The rule for the transformation is open paren x comma y close paren rightarrow open paren negative x comma negative y close paren .

Explanation

A 180° rotation about the origin maps each point (x, y) to (−x, −y). Thus L(2, 2) becomes (−2, −2), so A is true, and the rule in C is true. N(1, 6) becomes (−1, −6), so E is true. The other proposed coordinates do not match this rotation.

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