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

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

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Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a quadrilateral? 

Possible Answers:

Rhombus

Square

Rectangle 

Triangle

Kite

Correct answer:

Triangle

Explanation:

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

Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

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

Possible Answers:

Their side lengths 

Their color 

The number of sides they each have 

The sum of their angles 

Their angle measurments

Correct answer:

Their side lengths 

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. 

Example Question #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What two shapes can a square be classified as? 

Possible Answers:

Trapezoid and Triangle 

Rectangle and Triangle 

Trapezoid and Rhombus 

Rectangle and Rhombas 

Rhombus and Triangle 

Correct answer:

Rectangle and Rhombas 

Explanation:

A square can also be a rectangle and a rhombus because a rectangle has to have at least  sets of equal side lengths and a rhombus has to have  equal side lengths, like a square, and at least  sets of equal angles.

Example Question #4 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

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

Possible Answers:

The length of the sides

The volume

The number of sides

The color

The area

Correct answer:

The number of sides

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. 

Example Question #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which two shapes have to have  right angles? 

Possible Answers:

Square and Rhombus

Rectangle and Parallelogram

Square and Parallelogram

Rectangle and Rhombus

Square and Rectangle 

Correct answer:

Square and Rectangle 

Explanation:

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

Example Question #6 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the shapes is NOT a quadrilateral? 

Possible Answers:

Hexagon

Square

Rhombus

Rectangle 

Trapezoid

Correct answer:

Hexagon

Explanation:

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

Example Question #7 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a parallelogram? 

Possible Answers:

Rectangle

Kite

Square

Rhombus

Correct answer:

Kite

Explanation:

A rectangle, square, and rhombus can all be classified as a parallelogram because each shape has opposite side lengths that are equal. A kite does not. 

Example Question #8 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

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

Possible Answers:

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths 

An isosceles trapezoid has to have equal base angles

There is no difference between them 

A trapezoid has to have equal side lengths 

Correct answer:

An isosceles trapezoid has to have equal base angles

Explanation:

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

Example Question #9 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which shape is NOT a quadrilateral?

Possible Answers:

Trapezoid

Circle

Rhombus

Rectangle 

Kite

Correct answer:

Circle

Explanation:

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

Example Question #10 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a right triangle and an isosceles triangle? 

Possible Answers:

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

An isosceles triangle has to have a  angle and a right triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Correct answer:

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Explanation:

By definition, a right triangle has to have one right angle, or a  angle, and an isosceles triangle has  equal base angles and two equal side lengths. 

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