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 #51 : Area Of Polygons

Which of the following shapes is NOT a quadrilateral? 

Possible Answers:

Kite

Rectangle 

Triangle

Square

Rhombus

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 #51 : Area Of Polygons

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

Possible Answers:

Their color 

The sum of their angles 

Their side lengths 

Their angle measurments

The number of sides they each have 

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 #1 : 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:

Rectangle and Rhombas 

Trapezoid and Triangle 

Trapezoid and Rhombus 

Rhombus and Triangle 

Rectangle 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 #2001 : Common Core Math: Grade 5

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

Possible Answers:

The color

The number of sides

The length of the sides

The area

The volume

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 #2001 : Common Core Math: Grade 5

Which two shapes have to have  right angles? 

Possible Answers:

Square and Rectangle 

Square and Parallelogram

Square and Rhombus

Rectangle and Rhombus

Rectangle and Parallelogram

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 #2001 : Common Core Math: Grade 5

Which of the shapes is NOT a quadrilateral? 

Possible Answers:

Hexagon

Rhombus

Trapezoid

Rectangle 

Square

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 #91 : Areas And Perimeters Of Polygons

Which of the following shapes is NOT a parallelogram? 

Possible Answers:

Rectangle

Square

Rhombus

Kite

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 #2002 : Common Core Math: Grade 5

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

Possible Answers:

A trapezoid has to have equal side lengths 

There is no difference between them 

An isosceles trapezoid has to have equal side lengths 

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal base angles

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

Which shape is NOT a quadrilateral?

Possible Answers:

Rhombus

Trapezoid

Kite

Rectangle 

Circle

Correct answer:

Circle

Explanation:

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

Example Question #1 : How To Find If Right Triangles Are Similar

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. 

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. 

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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