The area of an isosceles triangle is 48 cm². If the length of its unequal side is 12 cm, what is the length of one of the equal sides?
(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 14 cm

A solid has:
(a) 0 dimensions
(b) 1 dimension
(c) 2 dimensions
(d) 3 dimensions

If a transversal intersects two parallel lines, then the bisectors of any pair of corresponding angles are:
(a) Perpendicular
(b) Intersecting
(c) Parallel
(d) Coincident

If two angles are complementary, and one angle is 20° more than the other, what are the angles?
(a) 35°, 55°
(b) 40°, 50°
(c) 25°, 65°
(d) 30°, 60°

The proposition that the three interior angles of any triangle sum to two right angles is an example of a:
A) Definition
B) Postulate
C) Axiom
D) Theorem

An angle is 14° more than its supplementary angle. What is the measure of the angle?
(a) 83°
(b) 97°
(c) 104°
(d) 52°

Euclid’s first three postulates essentially state the usability of which two basic geometric tools?
A) Protractor and ruler
B) Straightedge and compass
C) Scale and protractor
D) Compass and T-square

Two straight lines AB and CD intersect at a point O. If ∠AOC = 45°, then what is the measure of ∠BOD?
(a) 45°
(b) 55°
(c) 135°
(d) 90°

A triangle has sides of 13 cm, 14 cm, and 15 cm. What is its area?
(a) 84 cm²
(b) 90 cm²
(c) 105 cm²
(d) 78 cm²

What is the area of an equilateral triangle with a side length of 4√3 cm?
(a) 12√3 cm²
(b) 16√3 cm²
(c) 9√3 cm²
(d) 24 cm²

Euclid’s fifth postulate is equivalent to:
(a) The Playfair’s Axiom
(b) The Pythagorean Theorem
(c) The Angle Sum Property
(d) The axiom that two distinct points determine a unique line

The perimeter of a triangle is 60 cm. If its sides are in the ratio 1 : 3 : 2, what is the length of the longest side?
(a) 10 cm
(b) 20 cm
(c) 30 cm
(d) 40 cm

An advertisement board is in the form of a triangle with sides 12 m, 22 m, and 20 m. What is the cost of painting it at the rate of ₹5 per m²?
(a) ₹480
(b) ₹500
(c) ₹491
(d) ₹520 (approx)

The angles of a triangle are in the ratio 2 : 3 : 4. What is the measure of the smallest angle?
(a) 20°
(b) 40°
(c) 60°
(d) 80°

In a triangle ABC, if the exterior angle at vertex B is 110° and ∠A = 45°, what is the measure of ∠C?
(a) 55°
(b) 60°
(c) 65°
(d) 70°