Geometry MCQs with Answers
Which mathematician is often called the “Father of Geometry”?
- A. Kepler
- B. Euclid
- C. Pythagoras
- D. Newton
An angle measuring exactly 90° is known as a(n):
- A. Triangle
- B. Right angle
- C. Obtuse angle
- D. None of these
When the angle between a force and its displacement is 90°, the work done equals:
- A. Zero
- B. Maximum
- C. Minimum
- D. Negative
If two angles add up to 90°, those angles are called:
- A. Right angles
- B. Reflex angles
- C. Complementary angles
- D. Supplementary angles
If two angles sum to 180°, they are referred to as:
- A. Right angles
- B. Reflex angles
- C. Complementary angles
- D. Supplementary angles
An angle larger than 90° but smaller than 180° is called a(n) ________ angle.
- A. Acute
- B. Obtuse
- C. Reflex
- D. None of these
A pie chart is best used to show how different parts contribute in terms of:
- A. Sectors
- B. Percentages
- C. Angles
- D. All of these
A triangle in which all three angles are equal is named a(n):
- A. Isosceles
- B. Right-angle
- C. Equilateral
- D. Scalene
The formula for the sum of interior angles in an n-sided polygon is:
- A. 270 (n–2)
- B. 180 (n–2)
- C. 360 (n–2)
- D. 90 (n–2)
If a circle’s diameter is 5 m, its radius measures:
- A. 2.5 m
- B. 2.9 m
- C. 3.5 m
- D. None of these
The perimeter of a triangle with sides of 10.5 cm, 6.5 cm, and 7 cm equals:
- A. 14 cm
- B. 24 cm
- C. 24.5 cm
- D. 26 cm
A rectangular book has a total perimeter of 100 cm and a width of 22 cm. Its length must be:
- A. 38 cm
- B. 32 cm
- C. 28 cm
- D. 22 cm
The basic assumptions we make about geometric shapes are called:
- A. Postulates
- B. Axioms
- C. Corollaries
- D. Theorems
For triangle LMN with vertices L(1,1,1), M(3,3,3), and N(5,5,5), the centroid is located at:
- A. (3, 3, 3)
- B. (2.5, 2.5, 2.5)
- C. (2, 2, 2)
- D. None of these
Angles whose sides lie along the coordinate axes are known as:
- A. Quadrantal angles
- B. Coterminal angles
- C. Adjacent angles
- D. All of these
A square has sides of length 2.5 cm. Its perimeter is:
- A. 10 cm
- B. 5 cm
- C. 6.25 cm
- D. none of these
A rectangular garden’s area is 1500 m². If its length is 500 m, its width must be:
- A. 300 m
- B. 500 m
- C. 100 m
- D. none of these
A sequence is called arithmetic when it has a constant:
- A. common difference
- B. common ratio
- C. addition
- D. none of these
In an AP, the pᵗʰ term equals q and the qᵗʰ term equals p. Then the nᵗʰ term is:
- A. twice of pᵗʰ term
- B. 2(p + q)
- C. (p + q – n)
- D. none of these
The supplement of a 123° angle measures:
- A. 50
- B. 55
- C. 57
- D. 29
Angles greater than 0° but less than 90° are called:
- A. Obtuse angles
- B. Acute angles
- C. Right angles
- D. None
An angle drawn inside a semicircle always measures:
- A. 60°
- B. 180°
- C. 360°
- D. 90°
A triangle with all three sides of different lengths is called a ______ triangle:
- A. scalene
- B. isosceles
- C. acute angle
- D. none
If one angle of a triangle is 30°, the measures of the other two could be:
- A. 90 : 60
- B. 75 : 75
- C. 70 : 80
- D. All of these
A triangle has sides of lengths a = 1 m, b = 2 m, and c = 3 m. Its area is:
- A. 0 sq m
- B. 2 sq m
- C. 3 sq m
- D. Both A and B
A tangent drawn at any point on a circle is ______ to the radius at that point:
- A. perpendicular
- B. parallel
- C. adjacent
- D. chord
The ratio of a circle’s circumference to its radius is:
- A. 2π
- B. π/2
- C. π
- D. none of these
The ratio of a circle’s diameter to its circumference is:
- A. 1 : π
- B. 2 : π r
- C. π : r
- D. d : 2π
The line defined by 2x − 4y + 8 = 0 intersects the x-axis at:
- A. −8
- B. +4
- C. +8
- D. −4
Simplify (1 − sec θ)(1 + sec θ):
- A. sec² θ
- B. 2 sec θ
- C. cos² θ
- D. tan² θ
A chord that goes through the center of a circle is called the:
- A. diameter
- B. circumference
- C. radius
- D. none
Any straight line connecting two points on a circle’s edge is a:
- A. Chord
- B. Sector
- C. Radius
- D. Segment
Find the radius of a sphere.
- A. 4 cm
- B. 8 cm
- C. 16 cm
- D. 18 cm
From a block measuring 10 × 12 × 15 cm, you cut it into 1 cm³ cubes. How many cubes do you get?
- A. 900
- B. 200
- C. 2000
- D. 1800
A triangle with two equal sides is known as a(n):
- A. Scale triangle
- B. Isosceles triangle
- C. Equilateral triangle
- D. none of these
Complementary angles are two angles whose measures add up to:
- A. 90 degree
- B. 120 degree
- C. 180 degree
- D. none of these
When two identical triangles combine to form a perfect square, each triangle must be a(n):
- A. equilateral
- B. acute scalene
- C. right-angle isosceles
- D. none
The formula for a circle’s area is:
- A. πr²
- B. π²r²
- C. π²r
- D. None
The area of a triangle is found by using:
- A. ½ (b × h)
- B. ½ (h × b × h)²
- C. ¼ (b × h)¹
- D. ¼ (b × h)
Angles greater than 90° but less than 180° are called:
- A. reflex angles
- B. obtuse angles
- C. acute angles
- D. right angles
Expanding (a + b)² gives:
- A. a² + 2ab + b²
- B. a² − 2ab + b²
- C. a² + b²
- D. None
A quadrilateral has how many diagonals?
- A. Zero
- B. One
- C. Three
- D. Two
A ten-sided polygon is known as a(n):
- A. decagon
- B. triangle
- C. circle
- D. None
A polygon with eight sides is called a(n):
- A. nonagon
- B. decagon
- C. octagon
- D. None
A four-sided polygon goes by the name:
- A. hexagon
- B. pentagon
- C. decagon
- D. quadrilateral
An angle that measures less than 90° is called a(n):
- A. obtuse angle
- B. right angle
- C. acute angle
- D. straight angle
In the octal system (base 8), the count of digit symbols is:
- A. 7
- B. 10
- C. 8
- D. none
An angle whose measure lies between 180° and 360° is a(n):
- A. reflex angle
- B. complete angle
- C. obtuse angle
- D. acute angle
What is the proper name for a seven-sided figure?
- A. hexagon
- B. octagon
- C. heptagon
- D. triangle
The three geometric means between 2 and 31 are:
- A. 6, 8, 10
- B. 4, 8, 16
- C. 6, 10, 14
- D. none
If tan θ > 0, the angle θ must lie in quadrant:
- A. I
- B. II
- C. III
- D. IV
A square has area 49 cm². The length of one side is:
- A. 7 cm
- B. 16 cm
- C. 18 cm
- D. 20 cm
Which of these four is different by having no straight edges: circle, square, triangle, hexagon?
- A. circle
- B. square
- C. triangle
- D. hexagon
If a circle’s radius is multiplied by 4, its area is multiplied by:
- A. 8 times
- B. 12 times
- C. 16 times
- D. none of these
When a line cuts two co-planar lines, the two interior angles on the same side are called:
- A. complementary
- B. supplementary
- C. obtuse
- D. none of the above
If two circles have radii in the ratio 1 : 3, their areas are in the ratio:
- A. 1 : 3
- B. 3 : 1
- C. 1 : 9
- D. 3 : 9