# ISEE Lower Level Quantitative : Shape Properties

## Example Questions

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### Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a quadrilateral?

Rectangle

Triangle

Rhombus

Kite

Square

Triangle

Explanation:

A quadrilateral is any two-dimensional shape with   sides. The only shape listed that does not have  sides is a triangle.

### Example Question #91 : Areas And Perimeters Of Polygons

What is the main difference between a square and a rectangle?

Their side lengths

The sum of their angles

Their color

The number of sides they each have

Their angle measurments

Their side lengths

Explanation:

The only difference between a rectangle and a square is their side lengths. A square has to have  equal side lengths, but the opposite side lengths of a rectangle only have to be equal.

### Example Question #581 : Plane Geometry

What two shapes can a square be classified as?

Trapezoid and Rhombus

Rectangle and Rhombus

Trapezoid and Triangle

Rhombus and Triangle

Rectangle and Triangle

Rectangle and Rhombus

Explanation:

A square can also be a rectangle and a rhombus because a rectangle has to have at least  sets of equal side lengths and a rhombus has to have  equal side lengths, like a square, and at least  sets of equal angles.

### Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a triangle and a rectangle?

The number of sides

The area

The length of the sides

The color

The volume

The number of sides

Explanation:

Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has  sides and a rectangle has  sides.

### Example Question #1 : How To Find The Area Of A Parallelogram

Which two shapes have to have  right angles?

Square and Rectangle

Rectangle and Parallelogram

Square and Rhombus

Rectangle and Rhombus

Square and Parallelogram

Square and Rectangle

Explanation:

By definition, the only two quadrilaterals that have to have  right angles, are the square and the rectangle.

### Example Question #1971 : Common Core Math: Grade 5

Which of the shapes is NOT a quadrilateral?

Hexagon

Rectangle

Trapezoid

Rhombus

Square

Hexagon

Explanation:

A quadrilateral is a  sided shape. The only shape listed that does not have  sides is a hexagon, which has  sides.

### Example Question #7 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a parallelogram?

Square

Kite

Rectangle

Rhombus

Kite

Explanation:

A rectangle, square, and rhombus can all be classified as a parallelogram because each shape has opposite side lengths that are equal. A kite does not.

### Example Question #1971 : Common Core Math: Grade 5

What is the difference between a trapezoid and a isosceles trapezoid?

An isosceles trapezoid has to have equal side lengths

There is no difference between them

A trapezoid has to have equal side lengths

An isosceles trapezoid has to have equal base angles

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal base angles

Explanation:

By definition, an isosceles trapezoid has to have  equal base angles, but a trapezoid does not have to have equal angles.

### Example Question #1 : Shape Properties

Which shape is NOT a quadrilateral?

Trapezoid

Circle

Rhombus

Rectangle

Kite

Circle

Explanation:

A quadrilateral has to have  sides, a circle does not have any sides.

### Example Question #10 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a right triangle and an isosceles triangle?

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles.

An isosceles triangle has to have a  angle and a right triangle has to have  equal, base angles.

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles.

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles.

A right triangle has to have a  angle and an isosceles triangle has to have equal, base angles.