The angle bisectors of a parallelogram form a rectangle

Last updated on Jun 23,

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. Already booked a tutor?

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. Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. Your browser does not support the audio element. Maths Classes. Old search 1. Old search 2. Old search 3.

Then the area of the rhombus. TS TET.

Therefore, AD BC. But, in we have. Find the measure of. LMOP is a parallelogram as its one opposite pair of sides is parallel and equal. ABCD is a rectangle. Hence [ Each angle od a rectangle is a right angle]. It has a great methodology.

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. He has been teaching from the past 14 years. Your browser does not support the audio element. Maths Classes.

The angle bisectors of a parallelogram form a rectangle

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. All Rights Reserved. Statement Reason 1. Two lines perpendicular to the same line are parallel.

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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.

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