**CBSE Class 7 Maths – MCQ and Online Tests – Unit 6 – The Triangles and its Properties**

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**CBSE Class 7 Maths – MCQ and Online Tests – Unit 6 – The Triangles and its Properties**

Question 1.

The measure of each angle of an equilateral triangle is

(a) 30°

(b) 45°

(c) 90°

(d) 60°

## Answer

Answer: (d) 60°

Hint:

x° + x° + x° = 180° ? x° = 60°.

Question 2.

Which of the following statements is true?

(a) A triangle can have two right angles

(b) A triangle can have two obtuse angles

(c) A triangle can have two acute angles

(d) A triangle can have all the three angles less than 60°

## Answer

Answer: (c) A triangle can have two acute angles

Question 3.

How many angles are there in a triangle?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Hint:

See a triangle.

Question 4.

If two sides of a triangle are not equal, the triangle is called

(a) scalene

(b) isosceles

(c) equilateral

(d) right-angled

## Answer

Answer: (a) scalene

Hint:

Definition of a scalene triangle.

Question 5.

If two sides of a triangle are equal, the triangle is called

(a) isosceles

(b) equilateral

(c) scalene

(d) right-angled

## Answer

Answer: (a) isosceles

Hint:

Definition of an isosceles triangle.

Question 6.

If all the three sides of a triangle are equal, the triangle is called

(a) equilateral

(b) right-angled

(c) isosceles

(d) scalene

## Answer

Answer: (a) equilateral

Hint:

Definition of an equilateral triangle.

Question 7.

If all the angles of a triangle are acute, the triangle is called

(a) obtuse-angled

(b) acute-angled

(c) right-angled

(d) none of these

## Answer

Answer: (b) acute-angled

Hint:

Definition of an acute-angled triangle.

Question 8.

If one angle of a triangle measures 90°, the triangle is called

(a) acute-angled

(b) obtuse-angled

(c) right-angled

(d) none of these

## Answer

Answer: (c) right-angled

Hint:

Definition of a right triangle.

Question 9.

If one angle of a triangle is obtuse, the triangle is called

(a) acute-angled

(b) obtuse-angled

(c) right-angled

(d) none of these

## Answer

Answer: (b) obtuse-angled

Hint:

Definition of an obtuse angled triangle.

Question 10.

How many medians can a triangle have?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Hint:

Draw medians and count.

Question 11.

How many altitudes can a triangle have?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Hint:

Draw altitudes and count.

Question 12.

The total measure of the three angles of a triangle is

(a) 360°

(b) 90°

(c) 180°

(d) none of these

## Answer

Answer: (c) 180°

Hint:

Angle Sum Property of a triangle.

Question 13.

How many elements are there in a triangle?

(a) 3

(b) 6

(c) 4

(d) None of these.

## Answer

Answer: (b) 6

Hint:

See a triangle.

Question 14.

How many vertices does a triangle have?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Hint:

See a triangle.

Question 15.

How many sides are there in a triangle?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (c) 3

Hint:

See a triangle.

Question 16.

Two angles of a triangle measure 90° and 30°. The measure of the third angle is

(a) 90°

(b) 30°

(c) 60°

(d) 120°

## Answer

Answer: (c) 60°

Hint:

Third angle = 180° – (90° + 30°) = 60°.

Question 17.

The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest angle is

(a) 80°

(b) 60°

(c) 40°

(d) 180°

## Answer

Answer: (a) 80°

Hint:

Largest angle = \(\frac { 4 }{ 2+3+4 } \) × 180° = 80°.

Question 18.

In the following figure, the side BC of ? ABC is extended up to the point D. If ?A = 55° and ?B = 60°, then the measure of ?ACD is

(a) 120°

(b) 110°

(c) 115°

(d) 125°

## Answer

Answer: (c) 115°

Hint:

?ACD = 60° + 55° = 115°.

Question 19.

In the following figure, the measure of ?A is

(a) 30°

(b) 45°

(c) 90°

(d) 30°

## Answer

Answer: (d) 30°

Hint:

?A – 180° – [(180° – 120°) + (180° – 120°)] = 60°.

Question 20.

In the following figure, the measure of ?A is

(a) 70°

(b) 90°

(c) 80°

(d) 100°

## Answer

Answer: (c) 80°

Hint:

?A – 180° – (60° + 40°) = 80°

Question 21.

In the following figure, m || QR. Then, the measure of ?QPR is

(a) 80°

(b) 85°

(c) 75°

(d) 70°

## Answer

Answer: (b) 85°

Hint:

?PQR = 50°

? ?QPR – 180° – (50° + 45°) = 85°.

Question 22.

In the following figure, find ? x and ? y, if ?x – ?y – 10°

(a) 65°, 55°

(b) 55°, 45°

(c) 45°, 35°

(d) 60°, 60°

## Answer

Answer: (a) 65°, 55°

Hint:

?x + ?y = 120°; ?x – ?y = 10° Solve to get ?x = 65°, ?y = 55°.

Question 23.

In the following figure, find ? B.

(a) 30°

(b) 45°

(c) 40°

(d) 60°

## Answer

Answer: (d) 60°

Hint:

?B = 180° – [(180° – 110°) + 50°] = 60°.

Question 24.

Which of the following statements is true?

(a) A triangle can have all the three angles equal to 60°.

(b) A triangle can have all the three angles greater than 60°.

(c) The sum of any two angles of a triangle is always greater than the third angle.

(d) The difference between the lengths of any two sides of a triangle is greater than the length of the third side

## Answer

Answer: (a) A triangle can have all the three angles equal to 60°.

Question 25.

Which of the following statement is false?

(a) The sum of the lengths of any two sides of a triangle is less than the third side.

(b) In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs.

(c) If the Pythagorean property holds, the triangle must be right-angled.

(d) The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth

## Answer

Answer: (a) The sum of the lengths of any two sides of a triangle is less than the third side.

Question 26.

In the following figure, find x if BA || CE.

(a) 60°

(b) 40°

(c) 45°

(d) 65°

## Answer

Answer: (d) 65°

Hint:

?ECD = ?ABC = 50°;

? x = 180° – (65° + 50°) = 65°.

Question 27.

Find the value of the unknown interior angle x in the following figure:

(a) 30°

(b) 35°

(c) 40°

(d) 45°

## Answer

Answer: (c) 40°

Hint:

x + 90° = 130° ? x = 40°.

Question 28.

Find the value of unknown x in the following figure:

(a) 40°

(b) 50°

(c) 45°

(d) 55°

## Answer

Answer: (b) 50°

Hint:

x + 40° + 90° = 180° ? x = 50°.

Question 29.

Find the value of unknown x in the following figure:

(a) 10°

(b) 15°

(c) 20°

(d) 25°

## Answer

Answer: (b) 15°

Hint:

x + 5x + 90° = 180° ? x = 15°.

Question 30.

Find angle x in the following figure:

(a) 90°

(b) 80°

(c) 95°

(d) 100°

## Answer

Answer: (a) 90°

Hint:

x + 45 + 45° = 180° ? x = 90°.

Question 31.

In which case of the following lengths of sides of a triangle, is it possible to draw a triangle?

(?) 3 cm, 4 cm, 7 cm

(b) 2 cm, 3 cm, 7 cm

(c) 3 cm, 4 cm, 5 cm

(d) 3 cm, 3 cm, 7 cm

## Answer

Answer: (c) 3 cm, 4 cm, 5 cm

Hint:

3 + 4 > 5; 4 + 5 > 3; 5 + 3 > 4.

Question 32.

Which of the following cannot be the sides of a right triangle?

(?) 2 cm, 2 cm, 4 cm

(b) 5 cm, 12 cm, 13 cm

(c) 6 cm, 8 cm, 10 cm

(d) 3 cm, 4 cm, 5 cm

## Answer

Answer: (?) 2 cm, 2 cm, 4 cm

Hint:

2² + 2² = 8;

4² = 16

? 2² + 2² ? 4²

Question 33.

Find angle x in the following figure:

(a) 40°

(b) 50°

(c) 45°

(d) 60°

## Answer

Answer: (b) 50°

Hint:

x = 50°.

Question 34.

Find angle x in the following figure:

(a) 40°

(b) 30°

(c) 25°

(d) 35°

## Answer

Answer: (b) 30°

Hint:

x + x + 120° = 180° ? x = 30°.

Question 35.

Find angle x in the following figure:

(a) 40°

(b) 45°

(c) 35°

(d) 50°

## Answer

Answer: (a) 40°

Hint:

x + 140° = 180° ? x = 40°.

Question 36.

Find angle x in the following figure:

(a) 58°

(b) 59°

(c) 57°

(d) 56°

## Answer

Answer: (a) 58°

Hint:

x + x = 116° ? x = 58°.

Question 37.

Find angle x in the following figure:

(a) 45°

(b) 40°

(c) 35°

(d) 50°

## Answer

Answer: (a) 45°

Hint:

x = 45°.

Question 38.

In the following figure, ? ABC is an equilateral triangle. Find ?x.

(a) 30°

(b) 45°

(c) 60°

(d) 90°

## Answer

Answer: (a) 30°

Hint:

?ABC = 60°.

? ?ABD = 180° – 60° = 120°

? x = 180° – (120° + 30°) = 30°.

Question 39.

In the following figure, one angle of triangle ABC is 40°. If the difference of the other two angles is 30°, find the larger of the other two angles.

(a) 85°

(b) 80°

(c) 75°

(d) 70°

## Answer

Answer: (a) 85°

Hint:

x + y = 180° – 40° = 140° x – y = 30°. Solve to get x = 85°.

Question 40.

In the following figure, find

(a) 60°

(b) 70°

(c) 80°

(d) 75°

## Answer

Answer: (b) 70°

Hint:

x + x = 140° ? x = 70°.

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