Properties of Triangles - Gujarat Board (GSEB) STD 7 MATHS Questions

Q 1Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): A right triangle can have $8 cm, 15 cm$ and 17 cm as the lengths of its sides.
Reason $( R )$ : In a right triangle, the hypotenuse is the longest side.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
✓
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is truе.

Answer: B.

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Q 2Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): If two sides of a triangle are 3 cm and 4 cm long then the length (say $x cm$ ) of its third side is such that $0<x<7$.
Reason $( R )$ : The sum of any two sides of a triangle is greater than the third side.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is truе.

Answer: D.

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Q 3Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): The sum of the exterior angles of a triangle is twice the sum of the interior angles.
Reason (R): An exterior angle of a triangle is always obtuse.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
✓
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is truе.

Answer: C.

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Q 4Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): In a right triangle, there always exists an angle which is equal to the sum of the other two angles.
Reason (R): There exists an isosceles triangle which is also a right triangle.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
✓
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is truе.

Answer: B.

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Q 5Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): A triangle can have more than one right angle.
Reason (R): Sum of the angles of a triangle is $180^{\circ}$.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is truе.

Answer: D.

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Q 6BLANKS [1 Marks Each]1 Mark

If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
PB + PC BC

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Q 7BLANKS [1 Marks Each]1 Mark

If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
PA + PB AB

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Q 8BLANKS [1 Marks Each]1 Mark

If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
AC PA + PC

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Q 9BLANKS [1 Marks Each]1 Mark

The sum of the lengths of the sides of a triangle is called its __________

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Q 10BLANKS [1 Marks Each]1 Mark

The side opposite the right angle of a right triangle is called __________

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Q 111 Marks Question1 Mark

If $P$ is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with $>$ or $<$ or $=. PB + PC BC$

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Q 121 Marks Question1 Mark

Answer the following in 'Yes' or 'No'. Can an isosceles triangle be a right triangle?

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Q 131 Marks Question1 Mark

Fill in the blanks: Of all the line segments that can be drawn to a given line from a given point outside it, the is the shortest.

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Q 141 Marks Question1 Mark

Answer the following in 'Yes' or 'No'. Can a right triangle be a scalene triangle?

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Q 151 Marks Question1 Mark

Fill in the blanks: A right triangle cannot have an angle.

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Q 162 Marks Questions2 Marks

Is it possible to draw a triangle, the lengths of whose sides are given below? $2\ cm, 3\ cm, 4\ cm$

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Q 172 Marks Questions2 Marks

Is it possible to draw a triangle, the lengths of whose sides are given below? $1\ cm, 1\ cm, 1\ cm$

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Q 182 Marks Questions2 Marks

Is it possible to draw a triangle, the lengths of whose sides are given below?$3.4\ cm, 2.1\ cm, 5.3\ cm$

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Q 192 Marks Questions2 Marks

Is it possible to draw a triangle, the lengths of whose sides are given below$?7\ cm, 8\ cm, 15\ cm$

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Q 202 Marks Questions2 Marks

In a $\triangle\text{ABC}$, if $\angle\text{A} = 72^\circ$ and $\angle\text{B} = 63^\circ$, find $\angle\text{C}$.

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Q 215 Marks Questions5 Marks

A $5m$ long ladder whan set against the wall of a house reaches a height of $4.8m$. How far is the foot of the ladder from the wall?

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Q 225 Marks Questions5 Marks

Two poles, $18m$ and $13m$ high, stand upright in a playground. If their feet are $12m$ apart, find the distance between their tops.

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Q 235 Marks Questions5 Marks

An exterior angle of a triangle measures $110^\circ $ and its interior opposite angles are in the ratio $2 : 3$. Find the angles of the triangle.

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Q 245 Marks Questions5 Marks

A man goes $3\ km$ due north and then 4km due east. How far is he away from his initial position?

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Q 255 Marks Questions5 Marks

A $15\ m$ long ladder is placed against a wall to reach a window $12\ m$ high. Find the distance of the foot of the ladder from the wall.

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Q 263 Marks Question3 Marks

The acute angles of a right triangle are in the ratio $2 : 1.$ Find the each of these angles.

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Q 273 Marks Question3 Marks

In the figure given alongside, find:
$i. \angle\text{ACD}$
$ii. \angle\text{AED}$

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Q 283 Marks Question3 Marks

The lengths of the sides of triangles are given below. Which of them are right-angled? $a = 10\ cm, b = 24\ cm, c = 26\ cm$

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Q 293 Marks Question3 Marks

In the figure given alongside, find the measure of $\angle\text{ACD}.$

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Q 303 Marks Question3 Marks

Find the perimeter of a rhombus, the lengths of whose diagonals are $16\ cm$ and $30\ cm.$

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Properties of Triangles question types

Properties of Triangles questions

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Properties of Triangles MATHS - Properties of Triangles

Properties of Triangles question types

Properties of Triangles questions

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