Question

question 8 of 10
which of the following are congruence transformations? check all that apply.

a. translating

b. stretching

c. reflecting

d. rotating

e. shrinking

Explanation:

Congruence transformations (also called isometries) are transformations that preserve the size and shape of a figure, meaning the image is congruent to the pre - image.

• Translating (moving a figure without rotating or resizing) preserves the shape and size, so it is a congruence transformation.
• Stretching changes the size of the figure (it is a non - rigid transformation), so it is not a congruence transformation.
• Reflecting (flipping a figure over a line) preserves the shape and size, so it is a congruence transformation.
• Rotating (turning a figure around a point) preserves the shape and size, so it is a congruence transformation.
• Shrinking changes the size of the figure (it is a non - rigid transformation), so it is not a congruence transformation.

Answer:

A. Translating
C. Reflecting
D. Rotating