Question

Can Someone please help me in this math question?

*The problem is in the attachment*

Answer 1

Tell us more about the attachment. For example are the two lines a and b parallel. We can not take anything for granted, just be cause they do look like parallel lines.

Answer 2

I have to prove that the diagonals of the square bisect the interior angles.

Answer 3

Never mind I was looking at a different picture.

Answer 4

The diagonals intersect at right angles. It is stated that the diagonals are bisected. It is indicated that the intersection is at their midpoint. The diagonals will equal each other so that means line segments st = pt = qt =rt. All the triangles are similar and in fact congruent as the sides are equal on each triangle (square pq=ps=sr=rq etc.
The 4 triangles are right triangles thus the two acute triangles must sum up to 90. Angle tps, will equal tsp and their sum is 90. they are equal because they are opposite corresponding equal sides.

Answer 5

Thank you for your help

Answer 6

This makes sense

Answer 7

you're welcome and good luck with those kind of problems.

Answer 8

Thank you :)