CBSE Class 7 Maths – MCQ and Online Tests – Unit 6 – The Triangles and its Properties
Every year CBSE students attend Annual Assessment exams for 6,7,8,9,11th standards. These exams are very competitive to all the students. So our website provides online tests for all the 6,7,8,9,11th standards’ subjects. These tests are also very effective and useful for those who preparing for any competitive exams like Olympiad etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.
These online tests are based on latest CBSE syllabus. While attempting these, our students can identify their weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly
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°.
0 comments:
Post a Comment