Geometry Practice Question and Answer

Q:

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

567 0

  • 1
    75°
    Correct
    Wrong
  • 2
    81°
    Correct
    Wrong
  • 3
    84°
    Correct
    Wrong
  • 4
    78°
    Correct
    Wrong
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Answer : 4. "78°"

Q:

PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:

562 0

  • 1
    169°
    Correct
    Wrong
  • 2
    171°
    Correct
    Wrong
  • 3
    187°
    Correct
    Wrong
  • 4
    189°
    Correct
    Wrong
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Answer : 4. "189°"

Q:

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

562 0

  • 1
    1:3
    Correct
    Wrong
  • 2
    3:2
    Correct
    Wrong
  • 3
    3:1
    Correct
    Wrong
  • 4
    2:3
    Correct
    Wrong
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Answer : 3. "3:1 "

Q:

The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ∠PSR is

562 0

  • 1
    30°
    Correct
    Wrong
  • 2
    15°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    45°
    Correct
    Wrong
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Answer : 1. "30° "

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Answer : 3. ""

Q:

It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?

557 0

  • 1
    PQ = 5 cm and ∠R = 60°
    Correct
    Wrong
  • 2
    QR = 5 cm and ∠R = 60°
    Correct
    Wrong
  • 3
    QR = 5 cm and ∠Q = 60°
    Correct
    Wrong
  • 4
    PQ = 5 cm and ∠P = 60°
    Correct
    Wrong
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Answer : 1. "PQ = 5 cm and ∠R = 60°"

Q:

In Δ ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm2, then what will be the area of Δ BDE?

555 0

  • 1

    cm2

    Correct
    Wrong
  • 2

    cm2

    Correct
    Wrong
  • 3

      16 cm2

    Correct
    Wrong
  • 4

    cm2

    Correct
    Wrong
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Answer : 1. "

cm2

"

Q:

If ABC is an equilateral triangle and D is a point on BC such that AD⊥BC, then 

555 0

  • 1
    AB : BD = 1 : 1
    Correct
    Wrong
  • 2
    AB : BD = 1 : 2
    Correct
    Wrong
  • 3
    AB : BD = 2 : 1
    Correct
    Wrong
  • 4
    AB : BD = 3 : 2
    Correct
    Wrong
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Answer : 3. "AB : BD = 2 : 1 "

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