### All Common Core: 3rd Grade Math Resources

## Example Questions

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

The shape below can be categorized as a ____________.

**Possible Answers:**

quadrilateral

rectangle

rhombus

none of the choices

square

**Correct answer:**

quadrilateral

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

quadrilateral

all of the choices

square

**Correct answer:**

all of the choices

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 #1 : Geometry

The shape below can be categorized as a ____________.

**Possible Answers:**

rectangle, parallelogram, and quadrilateral

rectangle, parallelogram, and trapezoid

rectangle, parallelogram, and rhombus

rectangle, parallelogram, and triangle

rectangle, square, and quadrilateral

**Correct answer:**

rectangle, parallelogram, and quadrilateral

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 #2 : Reason With Shapes And Their Attributes

The shape below can be categorized as a ____________.

**Possible Answers:**

parallelogram and a rhombus

parallelogram and a square

trapezoid and a square

trapezoid and a parallelogram

trapezoid and a quadrilateral

**Correct answer:**

trapezoid and a quadrilateral

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 : Geometry

Can a parallelogram be called a square?

**Possible Answers:**

Yes

No

**Correct answer:**

No

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 #1 : Geometry

Can a triangle be called a quadrilateral?

**Possible Answers:**

No

Yes

**Correct answer:**

No

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

### Example Question #3 : Geometry

Can a square be called a quadrilateral?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

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

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

Can a square be called a rectangle?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

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

### Example Question #4 : Geometry

Can a pentagon be classified as a quadrilateral?

**Possible Answers:**

No

Yes

**Correct answer:**

No

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

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

Can a square be called a parallelogram?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

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.