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Diagonals of a Square are Perpendicular Bisectors of Each Other

Quadrilateral...

Question

Quadrilateral ABCD is a square. P, Q and R are the points on AB, BC and CD respectively, such that AP = BQ = CR. Hence, PB = QC
State whether the above statement is true or false.

A

True

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B

False

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Solution

The correct option is A True
Given: $A B = B C$ (ABCD is a square)

$A P = B Q$ (Given)

$A B - A P = B C - B Q$

Hence, $P B = Q C$

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Similar questions

Q. ABCD is a square P,Q and R are the points on AB, BC and CD respectively; such that AP=BQ=CR.
Hence, PB=QC
If the above statement is true then mention answer as 1, else mention 0 if false

Q. Quadrilateral

A B C D

P

Q

R

are the points on

A B

B C

C D

respectively, such that

A P = B Q = C R

∠

P Q R

is a right angle, find

∠ P R Q

Q. In an equilateral triangle ABC; points P, Q and R are taken on the sides AB, BC and CA respectively such that AP = BQ = CR. Hence triangle PQR is equilateral.
State whether the above statement is true or false.

Let ABCD be a square. Locate points P, Q, R, S on the sides AB, BC, CD, DA respectively such that AP = BQ = CR = DS. Prove that PQRS is a square.

In triangle ABC; AB = AC. P, Q, and R are mid-points of sides AB, AC, and BC respectively. Hence, BQ = CP.

State whether the above statement is true or false.

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Diagonals of a Square are Perpendicular Bisectors of Each Other

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