Question

a figure on the coordinate plane is transformed to create a new figure. which transformation does not preserve congruence?

• translation 7 units down.
• dilation with scale factor of 2.
• rotation of 90 clockwise.
• reflection over the x - axis.
• reflection over the y - axis.
• dilation with scale factor of 0.75.
• rotation of 270 clockwise.
• translation 4 units right and 9 units down.

Explanation:

• Translation: Shifts the figure without changing its shape or size, so it preserves congruence.
• Rotation: Turns the figure around a point, maintaining shape and size, so it preserves congruence.
• Reflection: Flips the figure over a line, keeping shape and size, so it preserves congruence.
• Dilation: Scales the figure by a factor. A scale factor other than 1 (like 2 or 0.75) changes the size, so it does not preserve congruence. Both dilations (scale factor 2 and 0.75) are non - congruence - preserving transformations.

Answer:

B. Dilation with scale factor of 2, F. Dilation with scale factor of 0.75