Question

how does translating a figure affect its congruence? a. it changes the shape. b. it changes the size. c. it rotates the figure. d. it does not affect congruence. which formula is used to calculate the distance between two points in the coordinate - plane? a. distance formula b. slope formula c. pythagorean theorem

Explanation:

1. Translation is a rigid - motion transformation. Rigid - motion transformations preserve the shape and size of a figure, which means congruence is maintained.
2. The distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ is specifically used to calculate the distance between two points in a coordinate plane. The slope formula is for finding the slope of a line between two points, and the Pythagorean theorem is related but not the direct formula for distance between two points in coordinate form.

Answer:

1. d. It does not affect congruence.
2. a. Distance formula