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Questions and Answers
In Example 1, which of the following coordinates of U' could be a result of a 90° clockwise rotation about the origin of point U(1, -2)?
In Example 1, which of the following coordinates of U' could be a result of a 90° clockwise rotation about the origin of point U(1, -2)?
- (-2, -1)
- (2, 1)
- (-2, 1)
- (2, -1) (correct)
If point W(0, 2) is rotated 90° clockwise about the origin, what is the y-coordinate of the transformed point W'?
If point W(0, 2) is rotated 90° clockwise about the origin, what is the y-coordinate of the transformed point W'?
- 0 (correct)
- 1
- 2
- -2
In Example 2, what is the relationship between the coordinates of S(1, 3) and its transformed point S' after a 180° rotation about the origin?
In Example 2, what is the relationship between the coordinates of S(1, 3) and its transformed point S' after a 180° rotation about the origin?
- Both the x-coordinate and y-coordinate of S' are negated. (correct)
- The x-coordinate and y-coordinate of S' are the same as S.
- The x-coordinate of S' is the same as S, and the y-coordinate is negated.
- The x-coordinate of S' is negated, and the y-coordinate is the same as S.
Considering Example 1 and Example 2, what is the effect of rotating a general point (x, y) 180° clockwise about the origin?
Considering Example 1 and Example 2, what is the effect of rotating a general point (x, y) 180° clockwise about the origin?
If a point (a, b) is rotated 90° counterclockwise about the origin, what are the coordinates of the transformed point?
If a point (a, b) is rotated 90° counterclockwise about the origin, what are the coordinates of the transformed point?
Flashcards
90° Clockwise Rotation
90° Clockwise Rotation
A rotation transformation that turns points 90 degrees clockwise around the origin.
180° Rotation
180° Rotation
A rotation transformation that turns points 180 degrees around the origin, effectively flipping them.
Transformed Points
Transformed Points
Points that result from applying rotation transformations, marked with a prime symbol (e.g., U').
Coordinate Plane
Coordinate Plane
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Graphical Representation
Graphical Representation
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Study Notes
Rotation 90° Clockwise
- Points: U(1, -2), W(0, 2), K(3, 2), G(3, -3)
- Origin: The rotation is around the origin (0, 0)
- Resulting Points: The rotated points are shown in the graph with red lines and labels. U'(-2, 1), W'(−2, 0), K'(-2, 3), G'(3, 3)
Rotation 180° About the Origin
- Points: V(2, 0), S(1, 3), G(5, 0)
- Origin: The rotation is around the origin (0, 0).
- Resulting Points: The rotated points are shown in the graph. V'(-2, 0), S'(-1, -3), G'(-5, 0)
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