Question

1. which transformation will not change the size of a figure?

a. compression
b. scaling
c. translation
d. dilation

1. which transformation is characterized by changing the size but not the shape of a figure, resulting in a figure that is not congruent?

a. dilation
b. reflection
c. translation
d. rotation

1. what happens to a figure undergoing a non - rigid motion such as a dilation?

a. the figure changes size.
b. the figure translates.
c. the figure reflects over an axis.
d. the figure rotates.

1. what is the result of reflecting the point (3, - 4) over the x - axis?

a. (-3, - 4)
b. (-3, 4)
c. (3, 4)
d. (3, - 4)

1. which transformation creates a mirror image of a figure across a specified line?

a. rotation
b. reflection

Explanation:

1. Translation is a rigid - motion that moves a figure without changing its size, shape, or orientation. Compression, scaling, and dilation change the size of a figure.
2. Dilation is a transformation that changes the size of a figure but not its shape. Reflection, translation, and rotation are rigid - motions that preserve size and shape.
3. A non - rigid motion like dilation changes the size of a figure. Translation moves a figure, reflection flips a figure over a line, and rotation turns a figure.
4. When reflecting a point (x,y) over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign. So, reflecting (3, - 4) over the x - axis gives (3,4).
5. Reflection creates a mirror image of a figure across a specified line. Rotation turns a figure around a point.

Answer:

1. c. Translation
2. a. Dilation
3. a. The figure changes size.
4. c. (3,4)
5. b. Reflection