Question

if the diagonals of a parallogram are equal, then show that it is a rectangle
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Answer 1

reactangle is 180

Step-by-step explanation:

if the diagonals of a parallogram are the value of reactangle is 180

Answer 2

given: ABCD is a parallelogram

ac=bd

to prove: ABCD is a rectangle

means each angle should be 90 degrees

proof: in triangle DCB and ABC

BC=BC(COME SIDE)

BA = CD(OPPOSITE SIDES OF PARALLELOGRAM ARE EQUAL)

AC=AD(GIVEN)

THEREFORE TRIANGLE ABC IS CONGRUENT TO TRIANGLE DCB [BY SSS CONGRUENCE RULE]

ANGEL B=ANGLE C [CPCT]

ANGELB+ANGLE C=180[CO INTERIOR ANGLES]

2 ANGELB=180

ANGELB=90=ANGLE C

ANGLE A =90(OPPOSITE ANGLES OF PARALLELOGRAM)

ANGLE D=90(OPPOSITE ANGLES OF PARALLELOGRAM)

ABCD IS A RECTANGLE

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