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

Question. What tool is recommended to efficiently construct an equilateral triangle with sides of 4 cm?
(a) Ruler only
(b) Compass and ruler
(c) Set square
(d) Protractor

Answer: B

Question. If two angles of a triangle are 36° and 72°, the third angle must be what measure?
(a) 108°
(b) 118°
(c) 72°
(d) 62°

Answer: C

Question. If two angles of a triangle are 150° and 15°, the third angle must be what measure?
(a) 15°
(b) 25°
(c) 15°
(d) 30°

Answer: C

Question. If two angles are 90° and 30°, the third angle must be what measure?
(a) 30°
(b) 90°
(c) 60°
(d) 120°

Answer: C

Question. If all three angles of a triangle are equal, then each angle must measure how much?
(a) 90°
(b) 180°
(c) 60°
(d) 45°

Answer: C

Question. In constructing an equilateral triangle with side length 4 cm, what is the radius of the arcs drawn from points A and B?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Answer: C

Question. In an isosceles triangle △ABC, if ∠ A = 50° and ∠ B = \angle C, then ∠ B and ∠ C must be how much?
(a) 50° each
(b) 130° each
(c) 65° each
(d) 90° each

Answer: C

Question. The pair of angles 90° and 85° can form a triangle or cannot form a triangle?
(a) Cannot form a triangle because sum is too high
(b) Cannot form a triangle because sum is too low
(c) Can be the angles of a triangle
(d) Only if the third angle is 5°

Answer: C

Question. The pair of angles 50° and 150° can form a triangle or cannot form a triangle?
(a) Can form a triangle
(b) Can form a right triangle
(c) Cannot form a triangle
(d) Can form an acute triangle

Answer: C

Question. The rule for two angles A and B to form a triangle is that their sum must be strictly what?
(a) Equal to 180°
(b) Greater than 180°
(c) Less than 180°
(d) Equal to 90°

Answer: C

Question. When constructing a triangle with side lengths 4 cm, 5 cm, and 6 cm, what is the first step?
(a) Draw an arc of 5 cm
(b) Draw a base of 4 cm
(c) Draw an angle of 60°
(d) Draw a circle of radius 6 cm

Answer: B

Question. The angle formed between the extension of a side of a triangle and the other side is called what kind of angle?
(a) Interior angle
(b) Acute angle
(c) Exterior angle
(d) Straight angle

Answer: C

Question. If the interior angle ∠ ACB is 70°, the exterior angle ∠ ACD is what measure?
(a) 70°
(b) 90°
(c) 110°
(d) 180°

Answer: C

Question. The exterior angle of a triangle is equal to the sum of which angles?
(a) Adjacent interior angle and 180°
(b) Two adjacent angles
(c) Two interior opposite angles
(d) The largest and smallest angles

Answer: C

Question. When we classify triangles based on angle measures, we classify them as acute-angled, right-angled, and which other type?
(a) Scalene-angled
(b) Isosceles-angled
(c) Obtuse-angled
(d) Equi-angled

Answer: C

Question. What type of triangle has two sides of equal length?
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Right-angled

Answer: B

Question. Does there exist an equilateral triangle of any given side length, tell me?
(a) No, only for specific lengths
(b) No, only if the side is greater than 50
(c) Yes, it always exists
(d) Only if the angles are 90°

Answer: C

Question. We can construct triangles when we are given which combinations of measurements?
(a) All three altitudes
(b) Two sides and a non-included angle
(c) Two sides and their included angle
(d) All three angles

Answer: C

Question. Which geometric tool makes the construction of a triangle with given side lengths (like 4 cm, 5 cm, 6 cm) much faster and more efficient than using only a ruler?
(a) Set square
(b) Protractor
(c) Compass
(d) Divider

Answer: C

Question. When constructing a triangle using three given side lengths, what do we draw to locate the third vertex C?
(a) Two full circles
(b) Two perpendicular lines
(c) Two arcs intersecting each other
(d) One arc and one straight line

Answer: C