Types Of Quadrilaterals

TYPES OF QUADRILATERALS 1. TRAPEZIUM: A QUADRILATERAL IN WHICH AT LEAST ONE PAIR OF OPPOSITE SIDES ARE PARALLEL IS CALLED A TRAPEZIUM. A B D

C

2.PARALLELOGRAM: A PARALLELOGRAM IS A QUADRILATERAL IN WHICH BOTH THE PAIRS OF OPPOSITE SIDES ARE PARALLEL. C D AB || DC BC || AD

B

A

3. RHOMBUS: A PARALLELOGRAM IN WHICH A PAIR OF ADJACENT SIDES ARE EQUAL IS CALLED A RHOMBUS. A B

DC || AB AD || BC DA = DC

D

C

4. RECTANGLE: A PARALLELOGRAM WITH ONE ANGLE A RIGHT ANGLE IS CALLED A RECTANGLE. A

B

D

C

AB || CD AD || BC ∟C = 90 DEGREE

5. SQUARE: A PARALLELOGRAM WITH A PAIR OF ADJACENT SIDES EQUAL AND ONE ANGLE A RIGHT ANGLE IS CALLED A SQUARE. P

Q ∟S = 90 DEGREE PS = SR PS || QR SR || PQ

S

R

FROM THE ABOVE WE CAN EASILY SEE THAT 1. EVERY RHOMBUS IS A PARALLELOGRAM BUT THE CONVERSE IS NOT TRUE. 2. EVERY RECTANGLE IS A PARALLELOGRAM BUT THE CONVERSE IS NOT TRUE. 3. EVERY SQUARE IS A PARALLELOGRAM BUT THE CONVERSE IS NOT TRUE. 4. EVERY SQUARE IS A RHOMBUS BUT THE