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The Triangle and Its Properties MATHS - The Triangle and Its Properties

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 94 questions in this chapter.

Question types

The Triangle and Its Properties question types

94 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

94
Questions
9
Question groups
5
Question types
Sample Questions

The Triangle and Its Properties questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q. [1 Marks Each]1 Mark
In the given figure, DEF is a right angled triangle with $\angle E=90^{\circ}$. What type of angles are $\angle D$ and $\angle F$ ?
Image
  • A
    They are equal angles
  • B
    They form a pair of adjacent angles
  • ✓
    They are complementary angles
  • D
    They are supplementary angles

Answer: C.

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Q 3M.C.Q. [1 Marks Each]1 Mark
The measures of $\angle x$ and $\angle y$ in the given figure are respectively
Image
  • A
    $30^{\circ}, 60^{\circ}$
  • B
    $40^{\circ}, 40^{\circ}$
  • C
    $70^{\circ},70^{\circ}$
  • ✓
    $70^{\circ}, 60^{\circ}$

Answer: D.

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Q 4M.C.Q. [1 Marks Each]1 Mark
If the exterior angle of a triangle is $130^{\circ}$ and its interior opposite angles are equal, then measure of each interior opposite angle is
  • A
    $55^{\circ}$
  • ✓
    $65^{\circ}$
  • C
    $50^{\circ}$
  • D
    $60^{\circ}$

Answer: B.

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Q 5M.C.Q. [1 Marks Each]1 Mark
The top of a broken tree touches the ground at a distance of 8 m from its base. If the tree is broken at a height of 6 m from the ground, then the actual height of the tree is
Image
  • A
    15 m
  • B
    14 m
  • ✓
    16 m
  • D
    17 m

Answer: C.

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Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) In a right angled, the longest side is hypotenuse.
Reason (R) The side opposite to the largest angle will be the longest one.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    Both A and R are false.

Answer: A.

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Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be 3.4.
Reason (R) The difference between the two sides of a triangle should be less than the third side.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    Both A and R are false.

Answer: A.

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Q 8Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) ABC is an equilateral triangle.
Reason (R) Equilateral triangle has all its sides equal and each angle measure $60^{\circ}$.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    Both A and R are false.

Answer: A.

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Q 272 Marks Questions2 Marks
An exterior angle of a triangle is of measure $70^{\circ}$ and one of its interior opposite angles is of measure $25^{\circ}$. Find the measure of the other interior opposite angle.
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Q 34Match the following.4 Marks
Column IColumn II
(i) In a $\triangle A B C, \angle A=120^{\circ}, \angle B=30^{\circ}$. The measure of $\angle C$ is(a) $35^{\circ}$
(ii) If an exterior angle of a triangle is $120^{\circ}$, then its adjacent interior angle is(b) $65^{\circ}$
(iii) Sum of two angles of a triangle is $145^{\circ}$. The measure of third angle is(c) $30^{\circ}$
(iv) In a right angled triangle, one of the acute angle is $25^{\circ}$. The measure of the other acute angle is(d) $60^{\circ}$
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Q 35Match the following.4 Marks
Column IColumn II
(i) Sum of all three angles in a triangle is(a) $60^{\circ}$
(ii) Sum of interior opposite angles is equal to(b) $90^{\circ}$
(iii) Equilateral triangle have each angle equals to(c) exterior angle
(iv) In a right angled triangle, atleast one angle should be(d) $180^{\circ}$
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Q 383 Marks Question3 Marks
Write the:
(i) side opposite to the vertex Q of $\triangle P Q R$.
(ii) angle opposite to the side LM of $\triangle L M N$.
(iii) vertex opposite to the side RT of $\triangle R S T$.
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Q 393 Marks Question3 Marks
What can you say about each of the interior opposite angles, when the exterior angle is
(i) a right angle?
(ii) an obtuse angle?
(iii) an acute angle?
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