quadrilaterals

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Page 1: Quadrilaterals
Page 2: Quadrilaterals

1) IN THE GIVEN FIGURE, DE IS PARALLEL TO BC AND D

AND E ARE THE MID POINTS OF SIDES AB AND AC

RESPECTIVELY.

The ratio of the lengths of DE and BC is:

A) 1/2

B) 1

C)3/2

D) 2

Page 3: Quadrilaterals

2) IN THE GIVEN FIGURE, D AND E ARE POINTS ON SIDES AC

AND BC OF ΔABC SUCH THAT AD = DC AND BE = EC.

What is the measure of ∠B?

A) 50°

B) 60°

C) 70°

D) 80°

Page 4: Quadrilaterals

3) PQRS BISECT EACH OTHER AT O. A, B, AND C ARE THE

MID-POINTS OF OP, PS, AND OS RESPECTIVELY.

If ΔABC is right-angled at B, where AB = BC = 5 cm, then what is the area of the quadrilateral PQRS?

A) 30 cm2

B) 60 cm2

C) 200cm2

D) 400cm2

Page 5: Quadrilaterals

4) THE GIVEN FIGURE SHOWS A TRIANGLE ABC IN WHICH

D, E, AND F ARE THE MID-POINTS OF SIDES AB, BC, AND

CA RESPECTIVELY.

If the area of ΔABC is 272 m2, then what is the area of

ΔDEF?

A) 204m²

B) 136m²

C) 84m²

D) 68m²

Page 6: Quadrilaterals

5) IN THE GIVEN FIGURE, ABCD IS A TRAPEZIUM WHERE AB ||

DC.

E IS THE MID POINT OF AD. FROM E, A LINE IS DRAWN

PARALLEL TO AB INTERSECTING BC AT F.

What is the measure of FC, if BC = 8 cm?

A) 2cm

B) 4cm

C) 6cm

D) 8cm

Page 7: Quadrilaterals

6) IN THE TRIANGLE ABC SHOWN IN THE ADJACENT

FIGURE, AD IS THE MEDIAN THROUGH A AND E IS THE

MID POINT OF AD. BE PRODUCED MEETS AC IN F. THE

LENGTHS AB, BC, AC AND AF ARE INTEGERS.

The length of the side AF can be

A) 6

B) 8

C) 10

D) 11

Page 8: Quadrilaterals

7) IN PARALLELOGRAM PQRS, THE VERTICES ARE TAKEN IN

ORDER. IF ∠P:∠Q = 7:3, THEN WHAT IS THE MEASURE

OF ∠R?

A) 126°

B) 116°

C) 64°

D) 54°

Page 9: Quadrilaterals

8) IN A PARALLELOGRAM PQRS, WHERE VERTICES ARE

TAKEN IN ORDER; ∠P = 60°, THEN WHAT ARE THE

RESPECTIVE MEASURES OF ∠Q AND ∠R?

A) 60° and 120°

B) 60° and 60°

C) 120° and 120°

D) 120° and 60°

Page 10: Quadrilaterals

9) IN THE GIVEN FIGURE, AE = EB = AF = 2 CM AND

BCDE IS A PARALLELOGRAM.

What is the length of FC?

A) 1 cm

B) 2cm

C) 3 cm

D) 4 cm

Page 11: Quadrilaterals

10) THE DIAGONALS AC AND BD OF PARALLELOGRAM

ABCD INTERSECT AT O. WHAT IS THE RATIO OF THE

AREA OF PARALLELOGRAM ABCD AND ΔAOB?

A) 1: 1

B) 2: 1

C) 3: 1

D) 4: 1

Page 12: Quadrilaterals