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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
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°
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
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
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
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
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°
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°
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
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
Quadrilaterals

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Quadrilaterals

  • 1.
  • 2. 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
  • 3. 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°
  • 4. 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
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. 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°
  • 9. 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°
  • 10. 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
  • 11. 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