# The angle bisectors of a parallelogram form a rectangle

Therefore, AD BC. But, in we have. Find the measure of.

We have to prove that PQRS is a rectangle. We know that the opposite sides of a parallelogram are parallel and congruent. We know that if two parallel lines are cut by a transversal, the sum of interior angles lying on the same side of the transversal is always supplementary. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. It is proven that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle. About Us.

## The angle bisectors of a parallelogram form a rectangle

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CG Vyapam SI. The profit earned when an article is sold for Rs. LMOP is a parallelogram as its one opposite pair of sides is parallel and equal.

Last updated at March 7, by Teachoo. Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class. Example 5 Show that the bisectors of angles of a parallelogram form a rectangle. Hence proved. Davneet Singh has done his B. Tech from Indian Institute of Technology, Kanpur.

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides also called quadrilateral , where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to degrees. In geometry, you must have learned about many 2D shapes and sizes such as circles, squares, rectangles, rhombus, etc. All of these shapes have a different set of properties.

### The angle bisectors of a parallelogram form a rectangle

Last updated at March 7, by Teachoo. Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class. Example 5 Show that the bisectors of angles of a parallelogram form a rectangle. Hence proved. Davneet Singh has done his B.

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Karnataka SDA. Leaving Soon? Nainital Bank Clerk. The sum of all the angles of a right triangle is -. SBI Apprentice. Odisha Police Driver. Vizag Steel Junior Trainee. RISF Constable. Punjab Pre-Primary Teacher. SSC Scientific Assistant. Therefore, PQRS is a rectangle. Bihar STET. Rajasthan 3rd Grade Teacher. Gujarat Metro JE. If any equilateral triangle is formed by the same length of the wire then what will be the area of the equilateral triangle?

Speaking frankly, you are absolutely right.