Geometry 1 — Questions and Answers

Question 1: What is the number of sides in the triangle?

4
9
3 (Correct answer)
2

Correct answer: 3

By definition, a triangle is a polygon with three straight sides and three angles. It is the simplest polygon that can enclose a space. The prefix 'tri-' explicitly indicates the number three.

Question 2: One of the polygons is an octagon. What is the number of its sides?

9
8 (Correct answer)
4
6

Correct answer: 8

An octagon is a polygon with eight sides. The prefix 'octa-' is derived from Greek and means eight, directly indicating the number of sides and angles in this geometric shape. Examples include stop signs, which are octagonal.

Question 3: Six inches is the length and four inches is the width of a rectangle. The region is in2.

26
22
24 (Correct answer)
27

Correct answer: 24

The area of a rectangle is calculated by multiplying its length by its width. In this case, a length of 6 inches multiplied by a width of 4 inches equals 24 square inches. The unit 'in²' correctly represents square inches for area.

Question 4: 45 cm2 is the area of a rectangle. Its width in centimeters, given its length of 9 cm

5 (Correct answer)
10
15
None of the above

Correct answer: 5

The area of a rectangle is found by multiplying its length by its width (Area = Length × Width). Given the area is 45 cm² and the length is 9 cm, we can find the width by dividing the area by the length: 45 cm² / 9 cm = 5 cm. Therefore, the width of the rectangle is 5 cm.

Question 5: A square has a 24 cm perimeter. The square has an area of cm².

30
35
36 (Correct answer)
32

Correct answer: 36

First, determine the side length of the square from its perimeter. A square has four equal sides, so the perimeter (24 cm) divided by 4 gives a side length of 6 cm. Then, calculate the area of the square by multiplying the side length by itself (side × side), which is 6 cm × 6 cm = 36 cm².

Question 6: What number of 2 cm squares' worth of sides are there on the surface of a 24 cm by 8 cm rectangle?

46
47
48 (Correct answer)
49

Correct answer: 48

To find how many 2 cm squares fit into the rectangle, first calculate the area of the rectangle: 24 cm × 8 cm = 192 cm². Next, calculate the area of one 2 cm square: 2 cm × 2 cm = 4 cm². Finally, divide the total area of the rectangle by the area of one small square: 192 cm² / 4 cm² = 48 squares.

Question 7: A triangle whose single angle is more than 90 degrees.

Acute triangle
Isosceles triangle
Equilateral triangle
Obtuse triangle (Correct answer)

Correct answer: Obtuse triangle

An obtuse triangle is defined as a triangle that has one angle measuring more than 90 degrees. Since the sum of angles in any triangle is 180 degrees, a triangle can have at most one obtuse angle. The other two angles in an obtuse triangle must be acute (less than 90 degrees).

Geometry 1

What is the number of sides in the triangle?