# Common Core: 3rd Grade Math : Understand Shape Categories: CCSS.Math.Content.3.G.A.1

## Example Questions

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### Example Question #1 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________.

rhombus

rectangle

square

none of the choices

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) ____________.

parallelogram

square

rectangle

all of the choices

all of the choices

Explanation:

This shape is a square because it has  equal side lengths. But, it can also be categorized as all of the shapes listed.

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

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

A square can be categorized as a rectangle because a rectangles has to have all  angles, and a square has all  angles.

### Example Question #3 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________.

rectangle, parallelogram, and trapezoid

rectangle, parallelogram, and rhombus

rectangle, parallelogram, and triangle

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 #1 : Understand Shape Categories: Ccss.Math.Content.3.G.A.1

The shape below can be categorized as a ____________.

trapezoid and a parallelogram

parallelogram and a square

parallelogram and a rhombus

trapezoid and a square

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 #5 : Reason With Shapes And Their Attributes

Can a parallelogram be called a square?

Yes

No

No

Explanation:

A parallelogram cannot be called a square because a square has to have  equal sides, and a parallelogram does not have to have  equal sides.

### Example Question #6 : Reason With Shapes And Their Attributes

Can a triangle be called a quadrilateral?

No

Yes

No

Explanation:

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

### Example Question #7 : Reason With Shapes And Their Attributes

Can a square be called a quadrilateral?

Yes

No

Yes

Explanation:

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

### Example Question #8 : Reason With Shapes And Their Attributes

Can a square be called a rectangle?

No

Yes

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 #9 : Reason With Shapes And Their Attributes

Can a pentagon be classified as a quadrilateral?

No

Yes

No

Explanation:

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

### Example Question #10 : Reason With Shapes And Their Attributes

Can a square be called a parallelogram?

Yes

No