CBSE Class 7 Mathematics A Tale of Three Intersecting Lines MCQs Set 03

Question. When constructing circles for a triangle, if the circles touch each other at one point, what is the relation between the lengths?
(a) Sum of two smaller lengths > longest length
(b) Sum of two smaller lengths < longest length
(c) Sum of two smaller lengths = longest length
(d) Longest length is always 10 cm

Answer: C

Question. If the two circles do not intersect internally during construction, this means what mathematically?
(a) Longest side is smaller than the sum of the other two
(b) The two radii are equal
(c) Sum of the two smaller lengths is less than the longest length
(d) Construction is impossible only because of the ruler

Answer: C

Question. What is an altitude in a triangle?
(a) An exterior line
(b) A bisector
(c) A perpendicular from a vertex to the opposite side
(d) The longest side

Answer: C

Question. For a triangle to be formed, which case must happen when we draw circles using the side lengths?
(a) Circles touch each other
(b) Circles do not intersect
(c) Circles intersect each other internally
(d) Circles have same center

Answer: C

Question. If the given lengths satisfy the triangle inequality, which case of circle construction results?
(a) Case 1 (touching)
(b) Case 2 (not intersecting)
(c) Case 3 (intersecting internally)
(d) No intersection at all

Answer: C

Question. For the set of lengths 3, 6, 9, does a triangle exist?
(a) Yes, easily
(b) Yes, because 3 + 6 = 9
(c) No, a triangle cannot exist
(d) Yes, because 9 is the longest side

Answer: C

Question. For the set of lengths 1, 1, 5, does a triangle exist?
(a) Yes, it is an isosceles triangle
(b) Yes, because 1 + 1 is almost 5
(c) No, a triangle cannot be constructed
(d) Yes, if we change the unit

Answer: C

Question. What do we call a triangle with all different sides?
(a) Scalene
(b) Isosceles
(c) Right-angled
(d) Equilateral

Answer: A

Question. If two sides of a triangle are 1 cm and 100 cm, the third side must be strictly between which two numbers?
(a) 1 and 100
(b) 100 and 101
(c) 99 and 101
(d) 1 and 99

Answer: C

Question. We can construct a triangle if we are given two sides and which specific angle?
(a) Any angle in the triangle
(b) The angle opposite to the shortest side
(c) The angle included between them
(d) The largest angle

Answer: C

Question. We can construct a triangle if we are given two angles and a side. What must this side be called?
(a) Adjacent side
(b) Opposite side
(c) Included side
(d) Exterior side

Answer: C

Question. If we construct △ABC where AB = 5 cm, ∠ A = 45° and ∠ B = 80°, what is the first step, tell me?
(a) Draw ∠ A = 45°
(b) Draw ∠ B = 80°
(c) Draw the base AB of length 5 cm
(d) Find ∠ C

Answer: C

Question. What does the term "vertex" refer to in a triangle?
(a) Side
(b) Corner point
(c) Midpoint
(d) Area

Answer: B

Question. Is it possible to construct a triangle if the two given angles are 120° and 100°?
(a) Yes, because both are obtuse
(b) Yes, if the side is short
(c) No, a triangle is not possible
(d) Only if we use a protractor

Answer: C

Question. If the two angles given at the base are both greater than or equal to 90°, what happens?
(a) The lines will meet easily
(b) The lines will make a parallelogram
(c) A triangle is not possible
(d) It will be a right triangle

Answer: C

Question. If one angle in a triangle construction is 40°, the smallest angle for the line from the other side to NOT meet the first line must be?
(a) 40° (Alternate Angle)
(b) 180° (Straight line)
(c) 140° (Internal angles on same side of transversal add to 180°)
(d) 90° (Right angle)

Answer: C

Question. For a triangle to exist when two angles are given, the sum of those two given angles must be how much?
(a) Equal to 180°
(b) Greater than 180°
(c) Less than 180°
(d) Equal to 90°

Answer: C

Question. What happens when all three vertices lie on a straight line?
(a) A large triangle
(b) A right-angled triangle
(c) No triangle
(d) An equilateral triangle

Answer: C

Question. If we are given two angles 60° and 70°, and the included side length is changed, does the third angle measure change?
(a) Yes, it increases
(b) Yes, it decreases
(c) No, the third angle is fixed once the first two angles are fixed
(d) It depends on the size of the protractor

Answer: C

Question. The sum of the three angles in any triangle is always equal to what?
(a) 90 degrees
(b) 270 degrees
(c) 180 degrees
(d) 360 degrees

Answer: C