The semi-perimeter of a triangle is 21 cm, and two of its sides are 10 cm and 12 cm. What is the area of the triangle?
(a) 21√5 cm²
(b) 12√7 cm²
(c) 10√21 cm²
(d) 21√11 cm²

“If equals are added to equals, the wholes are equal.” This statement is a(n):
(a) Postulate
(b) Definition
(c) Axiom
(d) Theorem

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:
(a) An isosceles triangle
(b) An obtuse triangle
(c) An equilateral triangle
(d) A right-angled triangle

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

How many lines can be drawn passing through two distinct given points?
(a) Zero
(b) One
(c) Two
(d) Infinitely many

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

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

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

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. What is the area of the triangle?
(a) 32√2 cm²
(b) 48√2 cm²
(c) 32√3 cm²
(d) 16√3 cm²

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

The lengths of the sides of a triangle are 7 cm, 8 cm, and 9 cm. The length of the altitude to the longest side is:
(a) 4√5 cm
(b) 6√5 cm
(c) (8√5)/3 cm
(d) (12√5)/3 cm

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°

A “solid” is defined by Euclid as having:
A) Length and breadth only.
B) Length only.
C) No parts.
D) Length, breadth, and depth.

If the area of an equilateral triangle is 36√3 cm², what is its perimeter?
(a) 12 cm
(b) 24 cm
(c) 36 cm
(d) 48 cm

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°