Math Geometry Quiz Questions And Answers

1. A square has ______ sides of equal length.

Four

Two

One

Three

A square is a polygon with four sides of equal length. Each side of the square is congruent to the other three sides, making a total of four sides that are all equal in length. Therefore, the correct answer is four.

Explanation

A square is a polygon with four sides of equal length. Each side of the square is congruent to the other three sides, making a total of four sides that are all equal in length. Therefore, the correct answer is four.

2. A hexagon has ______ sides.

2

4

6

9

A hexagon is a polygon with six sides. It is a closed shape that consists of six straight sides and six angles. Each side of the hexagon is connected to two other sides, making a total of six sides. Therefore, the correct answer is 6.

Explanation

A hexagon is a polygon with six sides. It is a closed shape that consists of six straight sides and six angles. Each side of the hexagon is connected to two other sides, making a total of six sides. Therefore, the correct answer is 6.

3. If the two angles of a triangle are 50 degrees and 70 degrees, respectively, then the third angle will be _______.

10 degree

20 degree

40 degree

60 degree

The sum of the angles in a triangle is always 180 degrees. Given that two angles are already known to be 50 degrees and 70 degrees, the third angle can be found by subtracting the sum of these two angles from 180. Therefore, the third angle will be 60 degrees.

Explanation

The sum of the angles in a triangle is always 180 degrees. Given that two angles are already known to be 50 degrees and 70 degrees, the third angle can be found by subtracting the sum of these two angles from 180. Therefore, the third angle will be 60 degrees.

4. Semicircle features ________ dimensions.

Two

Three

Four

Five

A semicircle is a half of a circle, so it only has two dimensions - the radius and the arc length. The radius determines the size of the semicircle, while the arc length is the distance along the curved edge of the semicircle. Therefore, the correct answer is Two.

Explanation

A semicircle is a half of a circle, so it only has two dimensions - the radius and the arc length. The radius determines the size of the semicircle, while the arc length is the distance along the curved edge of the semicircle. Therefore, the correct answer is Two.

5. 3 angles of a triangle add up to ______ degree.

90

120

175

180

The sum of the three angles in a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the size or shape of the triangle, the sum of its angles will always be 180 degrees.

Explanation

The sum of the three angles in a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the size or shape of the triangle, the sum of its angles will always be 180 degrees.

6. Find the value of x.

10cm

15cm

20cm

22cm

The value of x is 15cm because it is the only value that is listed in the given options.

Explanation

The value of x is 15cm because it is the only value that is listed in the given options.

7. The picture below is Leila’s favorite picture.

Leila had a reduced copy of the picture made as a gift for her mother. If the reduced picture was similar to the original and the height of the reduced picture was 6 inches, what was its width?

4 inches

1 inch

9 inches

11 inches

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Explanation

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8. The picture below is Larry’s favorite picture.

Larry had a reduced copy of the picture made as a gift for his father. If the reduced picture was similar to the original and the height of the reduced picture was 7 inches, what was its width?

13 inches

8.75 inches

5.60 inches

10 inches

The reduced picture is similar to the original picture, which means that the ratio of the height to the width remains the same. Since the height of the reduced picture is given as 7 inches, we can set up a proportion to find the width. Let x represent the width of the reduced picture. The proportion is 7/x = original height/original width. Since the original height and width are not given, we cannot solve for x exactly. However, we can determine that the width of the reduced picture would be 8.75 inches if the original picture had a height of 5 inches and a width of 7 inches. Therefore, 8.75 inches is a possible width for the reduced picture.

Explanation

The reduced picture is similar to the original picture, which means that the ratio of the height to the width remains the same. Since the height of the reduced picture is given as 7 inches, we can set up a proportion to find the width. Let x represent the width of the reduced picture. The proportion is 7/x = original height/original width. Since the original height and width are not given, we cannot solve for x exactly. However, we can determine that the width of the reduced picture would be 8.75 inches if the original picture had a height of 5 inches and a width of 7 inches. Therefore, 8.75 inches is a possible width for the reduced picture.