Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?

A)

A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)

B)

A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)

C)

A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

D)

A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)

Question

03-11-2021
Mathematics

Answered

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Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?

A)

A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)

B)

A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)

C)

A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

D)

A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)

Sagot :

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