Quadrilateral pqrs, with vertex p(-5, -3), undergoes a transformation to form quadrilateral p′q′r′s′, with p′ at (5, 3). the type of transformation pqrs undergoes is a a. reflection over the x-axis b. reflection over the y-axis c. translation 2 units right and 7 units up. d. 180 degrees about the origin.

D. 180 degrees about the origin.

Step-by-step explanation:

Let's consider what these transformation choices do.

A. Reflection over the X-axis changes the sign of the Y-coordinate. (-5, -3) becomes (-5, 3).

B. Reflection over the Y-axis changes the sign of the X-coordinate. (-5, -3) becomes (5, -3).

Reflection over both axes changes the signs of both X- and Y-coordinates, so (-5, -3) would become (5, 3). That is, one choice for the desired transformation is "A and B".

C. Translation 2 right and 7 up adds (2, 7) to the coordinates, so (-5, -3) becomes (-3, 4).

D. Rotation 180° about the origin changes the signs of both X- and Y-coordinates, so (-5, -3) becomes (5, 3). This is an appropriate single choice for the desired transformation.

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000