# Common Core: 3rd Grade Math : Reason with Shapes and their Attributes

## Example Questions

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

The shape below can be categorized as a ____________. Possible Answers:

rectangle

none of the choices

rhombus

square

quadrilateral

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 #1 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________. Possible Answers:

rectangle, parallelogram, and rhombus

rectangle, parallelogram, and triangle

rectangle, parallelogram, and trapezoid

rectangle, parallelogram, and quadrilateral

rectangle, square, and quadrilateral

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 ____________. Possible Answers:

parallelogram and a square

trapezoid and a quadrilateral

trapezoid and a parallelogram

parallelogram and a rhombus

trapezoid and a square

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 #2 : Reason With Shapes And Their Attributes

Can a triangle be called a quadrilateral?

Possible Answers:

No

Yes

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 #4 : 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:

No

Yes

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

Can a pentagon be classified as a quadrilateral?

Possible Answers:

No

Yes

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 #7 : Reason With Shapes And Their Attributes

Can a square be called a parallelogram?

Possible Answers:

No

Yes

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 #4 : Reason With Shapes And Their Attributes

Can a rectangle be called a square?

Possible Answers:

Yes

No

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

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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