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

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Question

The shape below can be categorized as a ____________.

Quad

Answer

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.

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Question

Which of the following best describes this shape? Select the best answer.

Square

Answer

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 rectangles have to have all angles, and a square has all angles.

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Question

The shape below can be categorized as a ____________.

Rect

Answer

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.

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Question

The shape below can be categorized as a ____________.

Trap

Answer

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.

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Question

Can a trapezoid be categorized as a square?

Answer

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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Question

Can a rectangle be called a square?

Answer

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.

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Question

Can a square be called a rectangle?

Answer

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

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Question

Can a square be called a quadrilateral?

Answer

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

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Question

Can a triangle be called a quadrilateral?

Answer

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

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Question

Can a square be called a parallelogram?

Answer

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.

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Question

Are all parallelograms squares?

Answer

Not all parallelograms are squares because a square has to have equal sides, and a parallelogram does not have to have equal sides. A parallelogram has sides with each pair of opposite sides being parallel. So all squares are parallelograms, but not all parallelograms are squares.

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Question

Can a pentagon be classified as a quadrilateral?

Answer

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

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Question

What fraction of the rectangle is blue?

12

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

8

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

4

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

11

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

7

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

3

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

10

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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Question

What fraction of the rectangle is blue?

6

Answer

The rectangle is split up into equal parts. of the parts are shaded blue, which means of the rectangle is blue.

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