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Maths Topic 2: Geometry Trivia Quiz

This quiz will test you on basic geometry from triangles and quadrilaterals to area and volume. Diagrams may be drawn to help with particular questions and calculators may also be used. Good luck.

A multiple-choice quiz by dialga483. Estimated time: 4 mins.

Author
dialga483

Time
4 mins

Type
Multiple Choice

Quiz #
365,977

Updated
Dec 03 21

# Qns
15

Difficulty
Tough

Avg Score
9 / 15

Plays
635

Last 3 plays: Guest 174 (3/15), Guest 165 (5/15), Guest 165 (5/15).

One at a Time - Single Page

Question 1 of 15

1. A reflex angle is any angle of what size? Hint

Between 180 and 360

Between 90 and 180

Between 0 and 90

Equal to 180

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Question 2 of 15

2. Lines AB and CD intersect at point E. Therefore, angles AED and CEB are said to be vertically opposite. What does this mean? Hint

They are supplementary

They add up to 360

They are complementary

They are equal

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Question 3 of 15

3. If two angles are said to be alternate, then what shape is formed between two parallel lines and the line that cuts through them? Hint

F - shape

T - shape

C - shape

Z - shape

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Question 4 of 15

4. If two angles between a pair of parallel sides are cointerior, then they are said to be what? Hint

Complementary

Supplementary

Equal

Equal to 360

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Question 5 of 15

5. If a triangle is scalene, then which statement is true? Hint

Three equal sides and angles

A triangle which contains a right angle

No two sides or angles are equal

Two equal sides and base angles equal

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Question 6 of 15

6. The SAS test for congruent triangles states what about it sides and angles? Hint

All three pairs of corresponding sides are equal

Two pairs of corresponding sides and included angle equal

Two pairs of angles and one pair of corresponding sides are equal

Both have a right angle, with hypotenuse and another side equal

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Question 7 of 15

7. What is the length of the hypotenuse of a right-angled triangle if its other sides are 4cm and 7cm? Hint

sqrt(52) cm

sqrt(74) cm

sqrt(41) cm

sqrt(65) cm

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Question 8 of 15

8. In any quadrilateral, the sum of the interior angles is equal to what? Hint

360

180

270

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Question 9 of 15

9. Which quadrilateral does the property "one pair of sides parallel" belong to? Hint

Rhombus

Parallelogram

Trapezium

Kite

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Question 10 of 15

10. What is the name of a regular polygon with nine sides? Hint

Heptagon

Octagon

Nonagon

Decagon

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Question 11 of 15

11. How many sides does a regular polygon have when its interior angles are equal to 140? Hint

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Question 12 of 15

12. Which two shapes have the same formula for area? Hint

Pentagon and Rhombus

Square and Triangle

Triangle and Parallelogram

Rhombus and Kite

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Question 13 of 15

13. What is the area of a trapezium with height 4cm, and parallel sides 5cm and 7cm long? Hint

24cm^2

31.5cm^2

27.5cm^2

19cm^2

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Question 14 of 15

14. What is the formula for the volume of a cylinder? Hint

V=x^3

V=(4/3)pi(r^3)

V=pi(r^2)h

V=(1/3)pi(r^2)h

NEXT>

Question 15 of 15

15. What is the volume of a rectangular prism with side lengths 6cm, 8cm and 10cm? Hint

400

480

360

520

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Apr 08 2024 : Guest 174: 3/15
Apr 06 2024 : Guest 165: 5/15
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Quiz Answer Key and Fun Facts

1. A reflex angle is any angle of what size?

Answer: Between 180 and 360

A reflex angle is between 180 and 360 degrees. An angle between 0 and 90 is an acute angle, an angle between 90 and 180 is an obtuse angle. An angle equal to 180 is known as a straight angle.

2. Lines AB and CD intersect at point E. Therefore, angles AED and CEB are said to be vertically opposite. What does this mean?

Answer: They are equal

If two angles are vertically opposite, then they are of equal size. If angles are supplementary, then they add up to 180, and if they are complementary, they add up to 90.

3. If two angles are said to be alternate, then what shape is formed between two parallel lines and the line that cuts through them?

Answer: Z - shape

Alternate angles are equal and are said to form a Z-shape. For example, lines AB and CD are parallel. A third line cuts through them, intersecting AB at E and CD at F. Therefore, angles AEF and EFD are alternate, and form a Z-shape

4. If two angles between a pair of parallel sides are cointerior, then they are said to be what?

Answer: Supplementary

If two angles are cointerior, then they form a C-shape. Therefore, the two angles between the parallel lines and the line that cuts through them add up to 180, meaning they are supplementary.

5. If a triangle is scalene, then which statement is true?

Answer: No two sides or angles are equal

An triangle with a right angle is a right-angled triangle. A triangle with two equal sides and base angles equal is an isosceles triangle and a triangle with three equal sides and angles is an equilateral triangle.

6. The SAS test for congruent triangles states what about it sides and angles?

Answer: Two pairs of corresponding sides and included angle equal

The SAS test stands for side-angle-side. When proving congruent triangles, this test can be used if two pairs of sides and an included angle are equal.

7. What is the length of the hypotenuse of a right-angled triangle if its other sides are 4cm and 7cm?

Answer: sqrt(65) cm

To solve this question, we need to use Pythagoras's theorem, which states for a right-angled triangle with sides a, b and hypotenuse c, that a^2+b^2=c^2
So
c^2=4^2+7^2
c^2=65
Therefore, c=sqrt(65)

8. In any quadrilateral, the sum of the interior angles is equal to what?

Answer: 360

In any quadrilateral, the interior angle sum is 360. This can by shown by splitting the quadrilateral into two separate triangles. The angle sum of a triangle is 180, therefore adding the sum of two triangles give 360

9. Which quadrilateral does the property "one pair of sides parallel" belong to?

Answer: Trapezium

A trapezium is the only quadrilateral to have one pair of sides parallel. A parallelogram and rhombus both have two pairs of parallel sides, while a kite has no sides parallel.

10. What is the name of a regular polygon with nine sides?

Answer: Nonagon

An octagon is a polygon with eight sides. A decagon is a polygon with ten sides and a heptagon is a polygon with seven sides. A nonagon is a polygon with nine sides.

11. How many sides does a regular polygon have when its interior angles are equal to 140?

Answer: 9

To solve this, we can use the formula I=S/n, where I=interior angle, S=angle sum and n= number of sides. The angle sum is equal to (n-2)180
Therefore,
140=((n-2)180)/n
140n=180n-360
-40n=-360
n=9
Therefore, the polygon has 9 sides

12. Which two shapes have the same formula for area?

Answer: Rhombus and Kite

The formula for the area of a rhombus and a kite is (1/2)xy, where x and y are the lengths of the diagonals of each shape. The formula for a parallelogram is bh, where b is the base and h is height. The formula for a triangle is (1/2)bh, and the formula for a square is x^2, where is x is the length of a side.

13. What is the area of a trapezium with height 4cm, and parallel sides 5cm and 7cm long?

Answer: 24cm^2

To solve this question, we can use the formula, A=(1/2)h(a+b), where h is the height, and a and b are the lengths of the parallel sides
So,
A = (1/2)(4)(5+7)
A = 48/2
A = 24
Therefore, the area of the trapezium is 24cm^2

14. What is the formula for the volume of a cylinder?

Answer: V=pi(r^2)h

The volume for a sphere is (4/3)pi(r^3), the volume for a cone is (1/3)pi(r^2)h and the volume for a cube is x^3. The volume of a cylinder is pi(r^2)h.

15. What is the volume of a rectangular prism with side lengths 6cm, 8cm and 10cm?

Answer: 480

The formula for the volume of a rectangular prism is V=lbh, where l, b and h are all side lengths of the prism.
So,
V= 6 x 8 x 10
V= 480cm^3

Source: Author dialga483

This quiz was reviewed by FunTrivia editor rossian before going online.
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