Which of these would prove that triangle pqs is congruent to triangle rqt (multiple choice)

Step-by-step explanation:

The third statement will prove a congruence between the given triangles.

Basically, beacuse it implies a reflection, which is a rigid transformation, that is, the shape of size of the triangles won't change. And if they don't change their form or size, they'll be equal by Side-Side-Side postulate.

Other choices implies a dilation which change their size, and the wrong postulate AAA.

Also, from the image you can observe that one triangle is a reflection of the other across a vertical axis that passes through point Q. That's another reason why reflection is the accurate way to prove the congruence.

Therefore, the right choice is the third option.

2/5

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source