Question

1. which transformation can change the orientation of a figure? a. reflection b. rotation (only under specific conditions) c. scaling d. translation 15. which transformation does not change the size or shape of a figure? a. translation b. compression c. shear d. enlargement 16. when a polygon is rotated 360 degrees around its center, what is the result? a. the polygon is flipped. b. the polygon is reduced. c. the polygon appears unchanged. d. the polygon is enlarged. 17. after a 180 - degree rotation about the origin, what happens to the coordinates of any point (x, y)? a. (x, -y) b. (y, x) c. (-x, -y) d. (x, -x) 18. which transformation will not change the size of a figure? a. compression b. scaling

Explanation:

1. Reflection flips a figure over a line, changing its orientation. Rotation may or may not change orientation depending on the angle. Scaling changes size and translation just moves the figure without changing orientation.
2. Translation is a rigid - motion that moves a figure without changing its size or shape. Compression, shear, and enlargement change the figure's dimensions or shape.
3. A 360 - degree rotation around the center of a polygon brings it back to its original position, so it appears unchanged.
4. The rule for a 180 - degree rotation about the origin for a point (x, y) is (-x, -y).
5. Rigid - motions like translation, rotation, and reflection do not change the size of a figure. Compression and scaling change the size.

Answer:

1. a. Reflection
2. a. Translation
3. c. The polygon appears unchanged.
4. c. (-x, -y)
5. No complete option list for 18, but if considering rigid - motions, translation, rotation, and reflection would be correct answers among typical choices.