Common Core: 5th Grade Math : Geometry

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

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Example Questions

Example Question #2 : Shape Properties

What two shapes can a square be classified as? 

Possible Answers:

Rectangle and Triangle 

Rhombus and Triangle 

Trapezoid and Rhombus 

Rectangle and Rhombus 

Trapezoid and Triangle 

Correct answer:

Rectangle and Rhombus 

Explanation:

A square can also be a rectangle and a rhombus because a rectangle has to have at least \(\displaystyle 2\) sets of equal side lengths and a rhombus has to have \(\displaystyle 4\) equal side lengths, like a square, and at least \(\displaystyle 2\) sets of equal angles.

Example Question #3 : Shape Properties

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

Possible Answers:

The length of the sides

The number of sides

The area

The volume

The color

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 \(\displaystyle 3\) sides and a rectangle has \(\displaystyle 4\) sides. 

Example Question #4 : Shape Properties

Which two shapes have to have \(\displaystyle 4\) right angles? 

Possible Answers:

Square and Parallelogram

Square and Rectangle 

Rectangle and Rhombus

Rectangle and Parallelogram

Square and Rhombus

Correct answer:

Square and Rectangle 

Explanation:

By definition, the only two quadrilaterals that have to have \(\displaystyle 4\) right angles, are the square and the rectangle. 

Example Question #51 : Geometry

Which of the shapes is NOT a quadrilateral? 

Possible Answers:

Trapezoid

Rhombus

Square

Rectangle 

Hexagon

Correct answer:

Hexagon

Explanation:

A quadrilateral is a \(\displaystyle 4\) sided shape. The only shape listed that does not have \(\displaystyle 4\) sides is a hexagon, which has \(\displaystyle 6\) sides. 

Example Question #5 : 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

Rhombus

Kite

Square

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 #5 : Shape Properties

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

Possible Answers:

A trapezoid has to have equal side lengths 

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths 

There is no difference between them 

Correct answer:

An isosceles trapezoid has to have equal base angles

Explanation:

By definition, an isosceles trapezoid has to have \(\displaystyle 2\) equal base angles, but a trapezoid does not have to have equal angles. 

Example Question #1051 : Ssat Upper Level Quantitative (Math)

Which shape is NOT a quadrilateral?

Possible Answers:

Trapezoid

Rhombus

Circle

Rectangle 

Kite

Correct answer:

Circle

Explanation:

A quadrilateral has to have \(\displaystyle 4\) sides, a circle does not have any sides. 

Example Question #5 : 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 \(\displaystyle 90^{\circ}\) angle and an isosceles triangle has to have \(\displaystyle 4\) equal, base angles. 

A right triangle has to have a \(\displaystyle 50^{\circ}\) angle and an isosceles triangle has to have \(\displaystyle 2\) equal, base angles. 

A right triangle has to have a \(\displaystyle 90^{\circ}\) angle and an isosceles triangle has to have \(\displaystyle 3\)equal, base angles. 

An isosceles triangle has to have a \(\displaystyle 90^{\circ}\) angle and a right triangle has to have \(\displaystyle 2\) equal, base angles. 

A right triangle has to have a \(\displaystyle 90^{\circ}\) angle and an isosceles triangle has to have \(\displaystyle 2\) equal, base angles. 

Correct answer:

A right triangle has to have a \(\displaystyle 90^{\circ}\) angle and an isosceles triangle has to have \(\displaystyle 2\) equal, base angles. 

Explanation:

By definition, a right triangle has to have one right angle, or a \(\displaystyle 90^{\circ}\) angle, and an isosceles triangle has \(\displaystyle 2\) equal base angles and two equal side lengths. 

Example Question #52 : Geometry

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

Possible Answers:

The number of side lengths 

The length of their sides

The sum of their angle measurements

Their color 

The sum of their side lengths 

Correct answer:

The length of their sides

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 \(\displaystyle 3\) equal sides, but a scalene triangle can have all different side lengths. 

Example Question #11 : Shape Properties

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.

Possible Answers:

All four categories are correct.

quadrilateral

rectangle

square

rhombus

Correct answer:

All four categories are correct.

Explanation:

 

 

 

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