Question

Prove that the diagonals of the square bisect the interior angles.

Answer 1

You can easily prove that by using the triangles.

Answer 2

Do you have an online file? If you do, takre a screen shot

Answer 3

k

Answer 4

there is no answer choices

Answer 5

Could you guys guide me through each step?

Answer 6

sure

Answer 7

k

Answer 8

Good... this is a tag team combo now

Answer 9

Ok, we need to prove that, example, the triangle PRS is congruant to the tirangle PRQ. Then you can say, the corresponding angles are equals, therefore bisects

Answer 10

k

Answer 11

I need to number these steps clearly with statements and reasons

Answer 12

so for step 1...

Answer 13

statement

Answer 14

All of the angles are congruent 90 degree angles?

Answer 15

Reason: Given?

Answer 16

So let's go, two column proof;

SR congruent to PQ - Definition of a square
PS congruent to QR - Definition of a square
PR congruant to PR - Reflexivity
PSR congruent to PQR - By SSS
Angle PRS congruent to PQR - Corresponding angles of two identical triangle are congruent
Angle RPS congruent to PRQ - Corresponding angles of two identical triangle are congruent

Answer 17

And then you have to do the same thing for triangles SQR and SPQ.

Answer 18

k

Answer 19

k

Answer 20

So we got steps 1-6 down