CBSE Class 7 Mathematics A Tale of Three Intersecting Lines MCQs Set 06

Question. What is the minimum number of sides required to form a triangle?
(a) 2
(b) 3
(c) 4
(d) 5

Answer: B

Question. For a given set of three lengths, how many comparisons must be made to confirm the triangle inequality holds?
(a) Only two comparisons
(b) Only one comparison of the longest side
(c) All three comparisons
(d) No comparison is needed

Answer: C

Question. If a set of three lengths satisfies the triangle inequality, then what can we conclude about the existence of a triangle?
(a) A triangle may or may not exist
(b) A triangle will surely not exist
(c) A triangle exists with those sidelengths
(d) The angles must be 60°

Answer: C

Question. The construction method where two sides and the angle included between them are given is called what kind of construction case?
(a) Angle-Side-Angle (ASA)
(b) Angle-Side-Side (ASS)
(c) Side-Angle-Side (SAS)
(d) Side-Side-Side (SSS)

Answer: C

Question. To construct a triangle given two sides and the included angle, the first step is always to draw what?
(a) The included angle
(b) The third side
(c) One of the given sides as the base
(d) A line perpendicular to the base

Answer: C

Question. How are the angles of a triangle ABC typically denoted?
(a) ?ABC, ?BCA, ?CAB
(b) ?A, ?B, ?C
(c) ?1, ?2, ?3
(d) ?X, ?Y, ?Z

Answer: B

Question. Can a triangle exist if the angle included between two given sides is 180°?
(a) Yes, always
(b) Yes, if the sides are small
(c) No, a triangle is not possible
(d) Only if the two sides are equal

Answer: C

Question. In the case of Two Angles and the Included Side, the given side must be called what because it is part of both angles?
(a) Longest side
(b) Opposite side
(c) Included side
(d) Adjacent side

Answer: C

Question. If we are given two angles ∠ A and ∠ B, and the included side AB, the intersection of the two new line segments drawn from A and B gives us which point?
(a) The center of the triangle
(b) The altitude point D
(c) The third vertex C
(d) The midpoint of AB

Answer: C

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

Answer: C

Question. What happens when the three vertices of a triangle lie on a straight line?
(a) A triangle is formed
(b) A triangle cannot be formed
(c) An equilateral triangle is formed
(d) An isosceles triangle is formed

Answer: B

Question. If two given angles of a potential triangle are 100° and 90°, the triangle is not possible because the two side lines drawn from the base will do what?
(a) Meet at 90°
(b) Meet at 10°
(c) Not meet at all
(d) Create an equilateral triangle

Answer: C

Question. In △ABC, if we fix ∠ A = 40°, the side line from B will not meet the side line from A if ∠ B is equal to or greater than which angle measure?
(a) 90°
(b) 120°
(c) 140°
(d) 40°

Answer: C

Question. If two angles of a triangle are 70° and 30°, the third angle must be how much?
(a) 100°
(b) 90°
(c) 80°
(d) 70°

Answer: C

Question. In the case where two angles are fixed, does changing the length of the included side change the measure of the third angle?
(a) Yes, it changes proportionally
(b) Yes, it makes the triangle bigger
(c) No, the third angle remains fixed
(d) Sometimes it changes, sometimes not

Answer: C

Question. What is a characteristic of an equilateral triangle?
(a) Two sides are equal
(b) All sides are of equal length
(c) No sides are equal
(d) One angle is 90°

Answer: B

Question. The rule that the sum of the three angles in any triangle is 180° is called the what?
(a) Parallel Line Axiom
(b) Euclid's Postulate
(c) Angle Sum Property of triangles
(d) Interior Angle Rule

Answer: C

Question. In the Angle Sum Property proof, we draw a line XY parallel to the base BC through which vertex?
(a) Vertex B
(b) Vertex C
(c) Vertex A
(d) Midpoint of BC

Answer: C

Question. In the proof of Angle Sum Property, ∠ XAB and ∠ B are equal because they are what kind of angles formed by the transversal AB?
(a) Corresponding angles
(b) Interior angles
(c) Alternate angles
(d) Adjacent angles

Answer: C

Question. The sum of the angles ∠ XAB, ∠ BAC, and ∠ YAC is 180° because they together form what?
(a) A right angle
(b) An obtuse angle
(c) A straight angle
(d) A pair of complementary angles

Answer: C