# Properties Of Shape Quiz

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The geometry of simple shapes is part of elementary mathematics. In simple geometry, we understand properties of several solid shapes like triangle, square, rectangle and many others. Each of these shapes have definite number of sides or vertices and angles. How much do you know about shapes? Try this quiz now!

• 1.

### How many sides does a square have?

• A.

Three sides

• B.

Twelve sides

• C.

Two sides

• D.

Four sides

D. Four sides
Explanation
A square has four sides because it is a quadrilateral with equal length sides that are perpendicular to each other. The defining characteristic of a square is that all four sides are equal in length and all four angles are right angles. Therefore, the correct answer is four sides.

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• 2.

### What is the sum of angles in a triangle?

• A.

130 degrees

• B.

150 degrees

• C.

180 degrees

• D.

200 degrees

C. 180 degrees
Explanation
The sum of 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 three angles will always be 180 degrees.

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• 3.

### How many angles are equal in an equilateral triangle?

• A.

Three angles

• B.

Two angles

• C.

Four angles

• D.

Nine angles

A. Three angles
Explanation
An equilateral triangle is a triangle with all three sides and angles equal. Therefore, in an equilateral triangle, all three angles are equal.

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• 4.

### How many vertices are in a quadrilateral?

• A.

Four vertices

• B.

Six vertices

• C.

Nine vertices

• D.

Ten vertices

A. Four vertices
Explanation
A quadrilateral is a polygon with four sides. Each vertex represents a corner or point where two sides of the quadrilateral meet. Therefore, a quadrilateral has four vertices.

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• 5.

### What is the sum of exterior angles of a polygon?

• A.

90 degrees

• B.

360 degrees

• C.

180 degrees

• D.

120 degrees

B. 360 degrees
Explanation
The sum of the exterior angles of any polygon is always 360 degrees. This is because when you add up all the exterior angles of a polygon, they form a complete revolution around a point. Therefore, the correct answer is 360 degrees.

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• 6.

### Which of these is not a basic shape?

• A.

Square

• B.

Triangle

• C.

Rectangle

• D.

Decagon

D. Decagon
Explanation
A decagon is not a basic shape because it has ten sides, while basic shapes typically have fewer sides. Basic shapes are typically simple and easy to recognize, such as squares, triangles, and rectangles, which have four sides or less. A decagon is a more complex shape that is not commonly considered as one of the basic shapes.

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• 7.

### What is the line that divides a circle into two called?

• A.

Diameter

• B.

• C.

Segment

• D.

Tangent

A. Diameter
Explanation
A diameter is a line that divides a circle into two equal halves, passing through the center of the circle. It is the longest chord in a circle and can be thought of as the line segment that connects two points on the circumference of the circle, passing through the center. Therefore, the correct answer is Diameter.

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• 8.

### What is the sum of angles in a right-angle triangle?

• A.

270 degrees

• B.

90 degrees

• C.

120 degrees

• D.

360 degrees.

B. 90 degrees
Explanation
A right-angle triangle has one angle that measures 90 degrees. The sum of all angles in any triangle is always 180 degrees. Therefore, in a right-angle triangle, the sum of the other two angles must be 90 degrees in order to make the total sum equal to 180 degrees. Hence, the correct answer is 90 degrees.

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• 9.

### How many sides are equal in an isosceles triangle?

• A.

Two sides

• B.

A side

• C.

Three sides

• D.

Four sides

A. Two sides
Explanation
An isosceles triangle has two sides that are equal in length. The term "isosceles" means "equal legs," referring to the two equal sides of the triangle. The third side, known as the base, may have a different length. Therefore, the correct answer is "Two sides."

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• 10.

### How many lines of symmetry are in an isoceles triangle?

• A.

Two lines of symmetry

• B.

Three lines of symmetry

• C.

Four lines of symmetry

• D.

A line of symmetry

D. A line of symmetry
Explanation
An isosceles triangle has only one line of symmetry. This line divides the triangle into two congruent halves that can be folded onto each other, resulting in a perfect match. The other options, two, three, and four lines of symmetry, are incorrect as they do not accurately describe the properties of an isosceles triangle.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Mar 29, 2019
Quiz Created by
Gregorynaomi

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