Three line segments form the letter Z. Rotate the letter Z counterclockwise around the midpoint of segment BC by 180 degrees. Describe the result.
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There is a square, ABCS, inscribed in a circle with center D. What is the smallest angle we can rotate around D so that the image of A is B?
A. 45o
B. 60o
C. 90o
D. 180o
Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D. Which of the following constructions or transformations could be used to answer this question?
Translate point E along the directed line segment BC.
Construct perpendicular bisectors of AB and BC.
Reflect square ABCD across line AB, then across line CD.
Construct a circle centered at E, with a radius AB.
Construct angle bisectors of angles A, B, C, and D.
Sometimes reflecting a point over m has the same effect as rotating the point 180 degrees using center P. Select all labeled points which have the same image for both transformations.
Point A
Point B
Point C
Point D
Point E
Point P
None of them
Here is triangle POG. Match the description of the rotation with the image of POG under that rotation.
