Figure ABCD was translated and resulted in image A'B'C'D'.

Compute and compare the side lengths of the two figures. Does this support an argument claiming that they are congruent? What else must be true to say two polygons are congruent?

Step-by-step explanation:

+) Polygons ABCD has: A(-7;4); B(-5;7); C(-3;4); D(-5; 1)

+) Polygons A'B'C'D' has: A'(-9;0); B'(-7;3); C'(-5;0); D'(-7;-3)

The side lengths of ABCD:

The side lengths of A'B'C'D':

So that side lengths of ABCD equal to those of A'B'C'D'.

However, this is not enough to said that they are congruent polygons, as 2 polygons are congruent when they have all corresponding sides and interior angles are congruent.

ABCD and A'B'C'D' have all corresponding sides congruent.

=> So that "all corresponding interior angles are congruent" must be true for them to be congruent polygons

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 -

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)