Common Core: 3rd Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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Example Questions

Example Question #1 : Geometry

The shape below can be categorized as a ____________. 

Quad

Possible Answers:

quadrilateral 

none of the choices

rectangle

square

rhombus 

Correct answer:

quadrilateral 

Explanation:

This shape is a quadrilateral because it has  sides, and by definition a -sided shape is a quadrilateral. 

This shape cannot be a square because it does not have  equal side lengths. 

This shape cannot be a rectangle because its opposite sides are not equal in length, nor are the angles all s.

This shape cannot be a rhombus because it does not have opposite, parallel sides and angles, nor does it have equal side lengths. 

Example Question #2 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________. 

Rect

Possible Answers:

rectangle, parallelogram, and triangle 

rectangle, square, and quadrilateral 

rectangle, parallelogram, and quadrilateral 

rectangle, parallelogram, and trapezoid  

rectangle, parallelogram, and rhombus  

Correct answer:

rectangle, parallelogram, and quadrilateral 

Explanation:

This shape is a rectangle because a rectangle has to have all  angles, and a this shape has all  angles. But, a rectangle is also a quadrilateral and a parallelogram. 

A rectangle can be categorized as a quadrilateral because by definition a quadrilateral is a -sided figure, and a rectangle has  sides. 

A rectangle can be categorized as a parallelogram because a parallelogram has to have  sides with opposite sides being parallel, and a rectangle has  sides with opposite sides being parallel. 

 

Example Question #3 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________. 

Trap

Possible Answers:

parallelogram and a square

trapezoid and a parallelogram 

parallelogram and a rhombus

trapezoid and a square 

trapezoid and a quadrilateral 

Correct answer:

trapezoid and a quadrilateral 

Explanation:

This shape is a trapezoid because a trapezoid only has one set of parallel sides, which in this case is the top and the base lines. 

This shape is also a quadrilateral because it has  sides, and a quadrilateral is any -sided figure. 

This shape is not a parallelogram because a parallelogram has two sets of parallel sides, and this shape only has one. 

This shape is not a rhombus because a rhombus has to have  equal sides, or opposite equal acute angles, and this shape does not have  equal sides, nor are the opposite angles equal or acute. The two top angles are obtuse angles. 

Example Question #4 : Reason With Shapes And Their Attributes

Can a triangle be called a quadrilateral? 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

A triangle cannot be called a quadrilateral because a quadrilateral is a -sided figure, and a triangle only has  sides. 

Example Question #1 : Reason With Shapes And Their Attributes

Can a square be called a quadrilateral? 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

A square can be called a quadrilateral because quadrilaterals are any -sided shape, and a square has  sides. 

Example Question #2 : Reason With Shapes And Their Attributes

Can a square be called a rectangle? 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

A square can be called a rectangle because it has two sets of equal sides and a square has all  angles. 

Example Question #5 : Reason With Shapes And Their Attributes

Can a pentagon be classified as a quadrilateral? 

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

A pentagon cannot be classified as a quadrilateral because a pentagon has  sides, and a quadrilateral is a -sided figure. 

Example Question #6 : Reason With Shapes And Their Attributes

Can a square be called a parallelogram? 

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

A square can be called a parallelogram because a parallelogram has to have two sets of parallel sides, and a square has two lets of parallel sides. 

Example Question #7 : Reason With Shapes And Their Attributes

Can a rectangle be called a square? 

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

A rectangle cannot because called a square because a square has to have  equal sides and a rectangle does not have  equal sides, it has  sets of equal sides. 

Example Question #3 : Reason With Shapes And Their Attributes

Can a trapezoid be categorized as a square?  

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

A trapezoid cannot be categorized as a square because a square has to have  equal sides, and a trapezoid does not have  equal sides.  

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