Question

The diagonal PR and QS of a square PQRS bisect each other O. Write down the measure of the following : a. angle PQO b.angle QPO c. angle POQ What is the relation between OP and OQ?​

Answer 1

Answer:

In a square the two diagonals divides it in four CONGRUENT triangles,

PROOF=

In all four triangles, Sides of all triangles will equal because square have all equal sides..(1)

All angles of a square are equal and the diagonal bisect angles of it so angles in

all triangles will equal to each other.. (2)

From (1) & (2)

All triangles will congruent by ASA

CRITERION

PLZ MARK AS BRIANLIEST,FLW ME AND THX FOR THE SUPERB QUESTION

Answer 2

as it seems the diagonals PR and QS of square PQRS intersected each other in O

Now we can find a tri angle POQ

if we draw the picture

then we can see that it's a isosceles triangle and also an right triangle.

of which..

angle POQ is 90°

and both of angle PQO & QOP are same- 45°[as sum of 3 angles in a triangle is 180°]

and the length of OP & OQ are same.