Question

Determine if the two figures are congruent and explain your answer. If they are congruent, tell which rigid motions were used.

Answer 1

Do you think the two figures are congruent?

Answer 2

yes

Answer 3

And how would you explain?

Answer 4

well all i basically did to see if they were congruent or not was count the units, like B and C are two units up and 1 over, and and for the second shape F and G and two units down and 1 over.

Answer 5

sorry i took long it wasnt showing me the post button

Answer 6

Exactly.

Answer 7

Both ABCD and EFGH are four sided figures.
BD = FH = 3 units diagonally.
AB = 2 units along x, 1 unit along y. EF = 2 units along y, 1 unit along x.
...etc.

Answer 8

correct

Answer 9

We will assume ABCD is the original and EFGH is the resultant image after some rigid motion. Point D corresponds to point H. D is 5 units UP along the y-axis. If D is reflected about the x-axis, it will be 5 units DOWN along the y-axis. Then if it is translated 4 units to the RIGHT, point D will coincide with point H.
Make sure reflection about the x-axis and translation to the right by 4 units along the positive x-axis works for the other points too.

Answer 10

i dont get it o.0

Answer 11

AHHH ok ok my bad i do get it thank you xD i had to read it like 5 times lol. @aum

Answer 12

The last answer was in response to the question: " If they are congruent, tell which rigid motions were used."

You are welcome.

Answer 13

yeah lol