The graphic below shows quadrilateral ABCD and its dilation, quadrilateral A’B’C’D’, with the origin as the center of dilation. The scale factor is . Which statement about both quadrilaterals is true?

Quadrilateral ABCD is congruent to quadrilateral A’B’C’D’.
The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are congruent.
The corresponding sides of quadrilaterals ABCD and A’B’C’D’ are congruent.
The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are not congruent.

The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are congruent.

Step-by-step explanation:

One of the rules of dilation in geometry is that dilations, no matter what point you are dilating from, will change the angle. Dilations will only ever change the length of the sides.

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

but there’s no any figure there!