OpenStudy (anonymous):

Could someone help me out on this one..? Prove that the diagonals of the square bisect the interior angles.

5 years ago
OpenStudy (anonymous):
5 years ago

OpenStudy (anonymous):

u can do it

5 years ago
OpenStudy (anonymous):

@lovemenplayhard aww thanks for the encouragement :DD

5 years ago
OpenStudy (johnweldon1993):

alright lets see here :) first prove that triangles QTR and STR are congruent

5 years ago
OpenStudy (anonymous):

:D :D XD

5 years ago
OpenStudy (anonymous):

because of the 90 degree angle and the slash marks on the sides of both angles..?

5 years ago
OpenStudy (johnweldon1993):

right ... both pairs of opposite angles are congruent and all of the sides are congruent right? so you proved that.... now ...what are the angles of triangle SPT and PQT? what is the relationship between them?

5 years ago
OpenStudy (anonymous):

would it be a 45 45 90...? im just takin a guess here...

5 years ago
OpenStudy (johnweldon1993):

lol, not literally solve for the angle....but the angles would be equal wouldn't they?

5 years ago
OpenStudy (johnweldon1993):

that angle at P and that angle at Q...are equal correct?

5 years ago
OpenStudy (anonymous):

yes!

5 years ago
OpenStudy (johnweldon1993):

alright :) so then you proved there are congruent triangles...angles....and those triangles and corresponding triangles form interior angles....they are bisected...and you have proved what you wanted to prove :) in other words the angles are equal ...because they are corresponding angles of two congruent triangles. Since they form interior angle, and they are bisected ...you have proved it :)

5 years ago