What is the angle of rotation about the origin that maps ΔPQR to ΔP’Q’R’?
The angle of rotation is ______ counterclockwise.
(Type a whole number.)
What is the angle of rotation about the origin that maps ΔPQR to ΔP’Q’R’? The angle of rotation is ______ counterclockwise
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To find the angle of rotation that maps triangle ΔPQR to triangle ΔP’Q’R’, you need to determine the positions of the corresponding points and calculate how far they need to rotate around the origin.
1. Identify the coordinates of points P, Q, R and P’, Q’, R’.
2. Use these coordinates to calculate the angle from the original position to the new position.
The angle of rotation can be calculated using the formula:
[ theta = tan^{-1}left(frac{y}{x}right) ]
for each point, where (x, y) are the coordinates of the points.
After determining the angle for each corresponding pair of points, find the average or the specific angle that connects all points consistently.
For example, if ΔPQR rotates by 90 degrees counterclockwise to map to ΔP’Q’R’, the answer would be 90.
If you provide specific coordinates for P, Q, R, I can help you calculate the angle more precisely! Remember to check more resources for further assistance.