CBSE Class 7 Mathematics A Tale of Three Intersecting Lines MCQs Set 05

Question. Triangles having one right angle are called what, tell me?
(a) Acute triangles
(b) Obtuse triangles
(c) Right triangles
(d) Equal triangles

Answer: C

Question. A triangle having one angle that is greater than 90° is called what?
(a) Acute-angled triangle
(b) Right-angled triangle
(c) Obtuse-angled triangle
(d) Scalene triangle

Answer: C

Question. A triangle cannot be formed when:
(a) Two angles are 80°
(b) Angle sum is less than 180°
(c) Two sides are equal
(d) Angle sum is 180°

Answer: B

Question. For a triangle to be an acute-angled triangle, how many of its angles must be acute?
(a) One angle
(b) Two angles
(c) All three angles
(d) Only the smallest angle

Answer: C

Question. Triangles with sides of three different lengths are classified as what kind of triangles?
(a) Isosceles triangles
(b) Equilateral triangles
(c) Scalene triangles
(d) Acute triangles

Answer: C

Question. Triangles having two sides of equal length are called what?
(a) Scalene
(b) Equilateral
(c) Isosceles
(d) Right-angled

Answer: C

Question. What is used to construct a triangle when two angles and a side are known?
(a) Angle ruler or protractor
(b) Compass
(c) Calculator
(d) Divider

Answer: A

Question. If the side lengths are 10 cm, 15 cm, and 30 cm, a triangle cannot exist because 10 + 15 is what compared to 30?
(a) Greater than 30
(b) Equal to 30
(c) Less than 30
(d) Cannot be compared

Answer: C

Question. For the set of lengths 3 cm, 4 cm, and 8 cm, the longest length 8 cm is what compared to the sum of the other two lengths (3+4=7)?
(a) Equal to the sum
(b) Smaller than the sum
(c) Greater than the sum
(d) Half the sum

Answer: C

Question. The property that the direct straight-line path between two points is shorter than a roundabout path via a third point leads to which rule for triangles?
(a) Angle Sum Property
(b) Parallel Line Property
(c) Triangle Inequality
(d) Shortest Path Rule

Answer: C

Question. We say that the given lengths satisfy the triangle inequality when each length is what compared to the sum of the other two lengths?
(a) Greater than the sum
(b) Equal to the sum
(c) Smaller than the sum
(d) Double the sum

Answer: C

Question. Which triangle cannot exist: 5 cm, 10 cm, 30 cm?
(a) Scalene
(b) Isosceles
(c) Triangle does not exist
(d) Acute-angled

Answer: C

Question. Which of these sets of lengths will NOT satisfy the triangle inequality?
(a) 10, 10, 10
(b) 5, 10, 12
(c) 10, 20, 35
(d) 24, 26, 28

Answer: C

Question. Which set of lengths CAN be the side lengths of a triangle?
(a) 2, 2, 5
(b) 2, 4, 8
(c) 5, 5, 8
(d) 1, 1, 5

Answer: C

Question. We are given lengths 3, 6, 9. If we try to construct a triangle, the two arcs drawn will just touch each other because 3 + 6 = 9. This means that what?
(a) The triangle will be isosceles
(b) The triangle will be acute
(c) A triangle cannot be formed
(d) The sides satisfy the inequality

Answer: C

Question. What is the length condition for two circles to intersect and form a triangle?
(a) Radius sum = base
(b) Radius sum < base
(c) Radius sum > base
(d) Radius difference = base

Answer: C

Question. When constructing a triangle, if the sum of the two smaller lengths is equal to the longest length, the two circles will do what?
(a) Intersect internally
(b) Not intersect at all
(c) Touch each other at a single point
(d) Overlap completely

Answer: C

Question. When the sum of the two smaller lengths is less than the longest length, the circles drawn during construction will show which case?
(a) Circles touch each other
(b) Circles intersect internally
(c) Circles do not intersect internally
(d) Radii are equal

Answer: C

Question. For a triangle to exist, the construction process must result in which case?
(a) The circles touch each other
(b) The circles do not intersect
(c) The circles intersect each other internally
(d) The base length is equal to the radius

Answer: C

Question. If we construct a triangle by taking the longest side as the base, the radii of the two arcs we draw will be equal to what?
(a) The longest length
(b) The sum of the other two lengths
(c) The smaller two lengths
(d) Half of the base length

Answer: C