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

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces is filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces is filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

of the area of this rectangle is filled in.

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces is filled in.

of the area of this rectangle is filled in.

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.

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.

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.

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.

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

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.

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

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