Question

Triangle ABC has vertices A(3, 1). B(4,5), and C(2, 3). Rotate Triangle ABC 90° counterclockwise about the origin and then reflect it across the x-axis.

Answer 1

Triangle ABC has vertices A(3, 1). B(4,5), and C(2, 3). Rotate Triangle ABC 90° counterclockwise (A',B', andC') about the origin and then reflect it across the x-axis (A'', B'', and C'').​

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(x, y) counterclockwise 90 = (-y, x)

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A(3, 1) A'(-1,3)

B(4,5) B' (-5,4)

C(2, 3) C' (-3, 2)

Rotate Triangle ABC 90° counterclockwise (A',B', andC')

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(x, y) reflect it across the x-axis = (x, -y)

A(3, 1) A'(-1,3) A''(-1, -3)

B(4,5) B' (-5,4) B''(-5, -4)

C(2, 3) C' (-3, 2) C''(-3, -2)

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