Geometry

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MAP 3rd Grade Math › Geometry

Questions 1 - 3
1

The shape below can be categorized as a ____________.

Trap

trapezoid and a quadrilateral

trapezoid and a parallelogram

trapezoid and a square

parallelogram and a square

Explanation

This shape is both a trapezoid and 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.

2

The shape below can be categorized as a ____________.

Quad

quadrilateral

rhombus

rectangle

square

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.

3

The shape below can be categorized as a ____________.

Rect

rectangle, parallelogram, and quadrilateral

rectangle, square, and quadrilateral

rectangle, parallelogram, and triangle

rectangle, parallelogram, and rhombus

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.

This shape can't be categorized has a square or a rhombus because a square and a rhombus both have to have equal sides. Also, this shape can't be categorized as a triangle because a triangle only has sides. Also, this shape

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