QUADRILATERAL

CLASS IX

CHAPTER -8

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PREPARED BY

MANINDER PAL SINGH

TGT MATHS

JNV BANSWARA II

WHAT IS A QUADRILATRAL

A PLANE FIGURE FORMED BY JOINING FOUR NON COLLINEAR POINTS IN AN ORDER IS CALLED A QUADRILATRAL.

A

B

C

D

���Vertices : A,B,C and D�Diagonals : AC and BD�Opposite sides : AB and DC ,AD and BC �Adjacent sides : AB and BC,BC and CD, CD and DA, DA and AB�Opposite Angles : A and C , B and D�Consecutive Angles : A and B, B and C, C and D, D and A���

A

B

C

D

ANGLE SUM PROPERTY OF QUADRILATRAL

USING SUM ANGLE PROPERTY IN ΔABC AND ΔADC AND ON ADDING THEM WE GET SUM 360°. SO, WE CAN SAY THAT SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°

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B

C

D

TYPES OF QUADRILATERALS

PARALLELOGRAM�*OPPOSITE SIDES ARE EQUAL� *OPPOISTE ANGLES ARE EQUAL� * DIAGONALS BISECT EACH OTHER�

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B

C

D

SQUARE�*OPPOSITE SIDES ARE PARALLEL�*ALL SIDES ARE EQUAL�*EACH ANGLE IS OF 90°�*DIAGONALS ARE EQUAL AND PERPENDICULAR BISECT EACH OTHER

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B

C

D

TRAPEZIUM�A QUADRILATERAL IN WHICH ONE PAIR OF OPPOSITE SIDE IS PARALLEL

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B

C

D

KITE�A QUADRILATERAL IN WHICH BOTH PAIRS OF CONSECUTIVE SIDES ARE EQUAL

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B

C

D

SUMMARY

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*A QUADRILATERAL IS A FOUR SIDED POLYGON.

*THE SUM OF ANGLES OF A QUADRILATERAL IS 360°

*THERE ARE MAINLY 6 TYPES OF QUADRILATERAL . 1. TRAPEZIUM

2. PARALLELOGRAM

3. RECTANGLE

4. SQUARE

5. RHOMBUS

6. KITE

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END OF THE PRESENTATION