Rotation, Reflection, and Translation Properties Practice

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Question
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A coordinate plane shows two triangles of the same shape in quadrants 1 and 2. The horizontal axis ranges from negative 5 to 3 in unit increments. The vertical axis ranges from 0 to 7 in unit increments. Three points labeled upper A upper B upper C form a solid line triangle. The coordinates are upper A at left parenthesis negative 3 comma 5 right parenthesis, upper B at left parenthesis negative 5 comma 1 right parenthesis, and upper C at left parenthesis negative 1 comma 1 right parenthesis. The triangle shows an angle upper B of 63.4 degrees between upper A B and upper B C. A point upper D is marked at left parenthesis 0 comma 2 right parenthesis. Three points labeled upper E upper F upper G form a dotted line triangle. The coordinates are upper E at left parenthesis negative 1 comma 3 right parenthesis, upper F at left parenthesis 3 comma 5 right parenthesis, and upper G at left parenthesis negative 1 comma 7 right parenthesis. The triangle forms an angle upper E of 63.4 degrees between upper E F and upper E G, an angle G of 63.4 degrees between upper E G and upper G F, and an angle upper F of 53.2 degrees between upper G F and upper E F.

Find the measurement of angle A in the rotation of ΔABC 90° clockwise around point D .

(1 point)
degrees

1 answer

The angle A in the rotated triangle ΔABC 90° clockwise around point D can be found by subtracting 90° from the original angle. Since angle B is 63.4°, angle A would be 63.4° - 90° = -26.6°.

Therefore, the measurement of angle A in the rotated triangle ΔABC 90° clockwise around point D is -26.6°.
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