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MATHS MCQ

Properties of Triangles · ICSE STD 7 (ICSE - English Medium). 18 questions.

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18 questions · timed · auto-graded

MCQ 11 Mark
A 15 m long ladder is rested against a wall such that the foot of the ladder is 12 m away from the wall. How up on the wall is the upper end of the ladder?
  • A
    6 m
  • B
    8 m
  • ✓
    9 m
  • D
    10 m
Answer
Correct option: C.
9 m
C
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MCQ 21 Mark
Which of the following cannot be the sides of a right angled triangle?
  • A
    5 cm, 4 cm, 3 cm
  • B
    12 cm, 5 cm, 13 cm
  • ✓
    15 cm, 21 cm, 27 cm
  • D
    37 cm, 35 cm, 12 cm
Answer
Correct option: C.
15 cm, 21 cm, 27 cm
C
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MCQ 41 Mark
Find the value of x in the given figure.
Image
  • A
    $25^{\circ}$
  • B
    $30^{\circ}$
  • ✓
    $35^{\circ}$
  • D
    $45^{\circ}$
Answer
Correct option: C.
$35^{\circ}$
C
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MCQ 51 Mark
A triangle can have two
  • A
    straight angles
  • B
    obtuse angles
  • C
    right angles
  • ✓
    acute angles
Answer
Correct option: D.
acute angles
D
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MCQ 61 Mark
An exterior angle of a triangle is $136^{\circ}$. If one of the two interior opposite angles is $69^{\circ}$. then the other interior opposite angle is
  • ✓
    $67^{\circ}$
  • B
    $75^{\circ}$
  • C
    $81^{\circ}$
  • D
    $99^{\circ}$
Answer
Correct option: A.
$67^{\circ}$
A
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MCQ 71 Mark
Which of the following cannot be the angles of a triangle?
  • A
    $56^{\circ}, 64^{\circ}, 60^{\circ}$
  • ✓
    $42^{\circ}, 67^{\circ}, 81^{\circ}$
  • C
    $45^{\circ}, 70^{\circ}, 65^{\circ}$
  • D
    $63^{\circ}, 35^{\circ}, 82^{\circ}$
Answer
Correct option: B.
$42^{\circ}, 67^{\circ}, 81^{\circ}$
B
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MCQ 81 Mark
Two angles of a triangle are equal and the third angle is three times each equal angle. The largest angle of the triangle measures
  • A
    $104^{\circ}$
  • ✓
    $108^{\circ}$
  • C
    $112^{\circ}$
  • D
    $124^{\circ}$
Answer
Correct option: B.
$108^{\circ}$
B
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MCQ 91 Mark
The measure of one of the equal angles of an isosceles right-angled triangle is
  • A
    $30^{\circ}$
  • ✓
    $45^{\circ}$
  • C
    $60^{\circ}$
  • D
    $75^{\circ}$
Answer
Correct option: B.
$45^{\circ}$
B
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MCQ 101 Mark
In a $\triangle ABC$, if $\angle A =15^{\circ}$ and $\angle B =55^{\circ}$, then $\angle C$ is equal to
  • A
    $85^{\circ}$
  • B
    $95^{\circ}$
  • C
    $105^{\circ}$
  • ✓
    $110^{\circ}$
Answer
Correct option: D.
$110^{\circ}$
D
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MCQ 111 Mark
In the given figure, the value of $a+b+c+d+e+f$ is :
Image
  • A
    $180^{\circ}$
  • B
    $270^{\circ}$
  • ✓
    $360^{\circ}$
  • D
    $540^{\circ}$
Answer
Correct option: C.
$360^{\circ}$
C
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MCQ 121 Mark
Study the following statements and select the correct option.
Statement-1: In an isosceles triangle if one of its equal angle is $52^{\circ}$, then the greatest angle is of measure $76^{\circ}$.
Statement-2: If an exterior angle of a triangle is a right angle, then each of its interior opposite angles are acute.
  • A
    Statement-1 is true but Statement-2 is false.
  • B
    Statement-1 is false but Statement-2 is true.
  • ✓
    Both Statement-1 and Statement-2 are true.
  • D
    Both Statement-1 and Statement-2 are false.
Answer
Correct option: C.
Both Statement-1 and Statement-2 are true.
C
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MCQ 131 Mark
For a right-angled isosceles triangle, which of these statements should be true?
  • ✓
    The square on the hypotenuse is equal to twice the length of the square on one leg.
  • B
    The hypotenuse is equal to the sum of the legs.
  • C
    The square on the hypotenuse is equal to the sum of the legs.
  • D
    The hypotenuse is equal to twice the length of the square on one leg.
Answer
Correct option: A.
The square on the hypotenuse is equal to twice the length of the square on one leg.
A
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MCQ 141 Mark
In the triangle shown, $\angle RST =2(\angle QRS )$ and $\angle PQS =2(\angle QSR )$.
Which of the following is true about the triangle QRS?
Image
  • A
    It is a scalene triangle
  • B
    It is an isosceles triangle
  • C
    It is an equilateral triangle
  • ✓
    It is a right-angled triangle
Answer
Correct option: D.
It is a right-angled triangle
D
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MCQ 151 Mark
In the figure, the values of x and y respectively are:
Image
  • A
    $47^{\circ}, 66^{\circ}$
  • ✓
    $66^{\circ}, 48^{\circ}$
  • C
    $68^{\circ}, 47^{\circ}$
  • D
    $47^{\circ}, 68^{\circ}$
Answer
Correct option: B.
$66^{\circ}, 48^{\circ}$
B
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MCQ 161 Mark
Consider the figure given below:
Which of these options represents the value of x + y + z deg.
Image
  • A
    76.5
  • B
    102.4
  • C
    104.4
  • ✓
    56.4
Answer
Correct option: D.
56.4
D
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MCQ 171 Mark
For the lengths 20 cm and 21 cm to form a triangle, how can the third side length be calculated?
  • A
    $20+21$
  • B
    $20^2+21^2$
  • ✓
    Lies between $(21-20)$ and $(21+20)$
  • D
    Lies between $\left(20^2-21^2\right)$ and $\left(20^2+21^2\right)$
Answer
Correct option: C.
Lies between $(21-20)$ and $(21+20)$
C
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MCQ 181 Mark
For the side lengths a - 3 2a and a + 5 to form a triangle, which of these could be the value of a?
  • A
    1
  • B
    2
  • C
    4
  • ✓
    5
Answer
Correct option: D.
5
D
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