Geometry Questions and answer Practice Question and Answer

Q:

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

1350 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:

Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?

1335 0

  • 1
    36
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 3. "40"

Q:

An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the side AB and AC respectively of ∆ ABC. If AP = a cm, AQ = b cm and ∠BAD = 15°, sin 75°=

1335 0

  • 1
    $${2b\over \sqrt {3} a}\ $$
    Correct
    Wrong
  • 2
    $${a\over 2b} $$
    Correct
    Wrong
  • 3
    $${ \sqrt {3} a\over 2b} $$
    Correct
    Wrong
  • 4
    $${ 2b \over \sqrt {3} a} $$
    Correct
    Wrong
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Answer : 3. "$${ \sqrt {3} a\over 2b} $$"

Q:

The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:

1333 0

  • 1
    7 sq. units
    Correct
    Wrong
  • 2
    20 sq. units
    Correct
    Wrong
  • 3
    10 sq. units
    Correct
    Wrong
  • 4
    14 sq. units
    Correct
    Wrong
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Answer : 3. "10 sq. units "

Q:

On increasing the radius of circle by 1 cm, its area is increased by 44 cm2 .The original radius of the circle is -

1332 0

  • 1
    5.6 cm
    Correct
    Wrong
  • 2
    9 cm
    Correct
    Wrong
  • 3
    6 cm
    Correct
    Wrong
  • 4
    6.5 cm
    Correct
    Wrong
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Answer : 4. "6.5 cm"

Q:

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

1330 0

  • 1

    600

    Correct
    Wrong
  • 2

    360

    Correct
    Wrong
  • 3

    720

    Correct
    Wrong
  • 4

    540

    Correct
    Wrong
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Answer : 2. "

360

"

Q:

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

1325 0

  • 1
    40
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    55
    Correct
    Wrong
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Answer : 3. "50"

Q:

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

1323 0

  • 1
    49 : 13
    Correct
    Wrong
  • 2
    13 : 36
    Correct
    Wrong
  • 3
    13 : 49
    Correct
    Wrong
  • 4
    36 : 13
    Correct
    Wrong
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Answer : 4. "36 : 13"

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