Understand Categories and Subcategories of Two-Dimensional Figures: CCSS.Math.Content.5.G.B.3

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5th Grade Math › Understand Categories and Subcategories of Two-Dimensional Figures: CCSS.Math.Content.5.G.B.3

Questions 1 - 10
1

What is the difference between an equilateral triangle and a scalene triangle?

The length of their sides

The number of side lengths

The sum of their angle measurements

The sum of their side lengths

Their color

Explanation

Of the choices listed, the main difference between an equilateral triangle and a scalene triangle is their side lengths. An equilateral triangle has to have equal sides, but a scalene triangle can have all different side lengths.

2

Which of the following shapes is NOT a quadrilateral?

Triangle

Square

Rectangle

Rhombus

Kite

Explanation

A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.

3

Which two shapes have to have right angles?

Square and Rectangle

Square and Rhombus

Square and Parallelogram

Rectangle and Rhombus

Rectangle and Parallelogram

Explanation

By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.

4

Which shape is NOT a quadrilateral?

Circle

Trapezoid

Kite

Rhombus

Rectangle

Explanation

A quadrilateral has to have sides, a circle does not have any sides.

5

What is the difference between a trapezoid and a isosceles trapezoid?

An isosceles trapezoid has to have equal base angles

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths

A trapezoid has to have equal side lengths

There is no difference between them

Explanation

By definition, an isosceles trapezoid has to have equal base angles, but a trapezoid does not have to have equal angles.

6

Which of the shapes is NOT a quadrilateral?

Hexagon

Square

Rectangle

Rhombus

Trapezoid

Explanation

A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.

7

What is the main difference between a square and a rectangle?

Their side lengths

Their angle measurments

The sum of their angles

The number of sides they each have

Their color

Explanation

The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.

8

What is the main difference between a triangle and a rectangle?

The number of sides

The length of the sides

The color

The area

The volume

Explanation

Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has sides.

9

A two-dimensional figure has four sides, the length is 3 centimeters. All of its four angles are right angles. Choose the correct category (or categories) that describes this type of figure.

All four categories are correct.

square

rectangle

rhombus

quadrilateral

Explanation

10

What other shape can a parallelogram be classified as?

Quadrilateral

Square

Rhombus

Rectangle

Triangle

Explanation

A parallelogram can not be classified as a square because a square has to have equal sides, but a parallelogram can have two different side lengths, as long as the opposite side lengths are equal.

A parallelogram can not be classified as a rectangle because a rectangle has to have angles, and a parallelogram does not.

A parallelogram can not be classified as a triangle because a parallelogram has to have sides and a triangle only has sides.

A parallelogram can not be classified as a rhombus because a rhombus has to have equal sides and a parallelogram does not.

A parallelogram has four sides, and all shapes with four sides are quadrilaterals.

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