# ISEE Lower Level Quantitative : Shape Properties

## Example Questions

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

Which of the following shapes is NOT a quadrilateral?

Kite

Triangle

Square

Rectangle

Rhombus

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

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

Their side lengths

The number of sides they each have

The sum of their angles

Their angle measurments

Their color

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

What two shapes can a square be classified as?

Rectangle and Rhombus

Rectangle and Triangle

Trapezoid and Triangle

Rhombus and Triangle

Trapezoid and Rhombus

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 #91 : Areas And Perimeters Of Polygons

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

The area

The volume

The length of the sides

The number of sides

The color

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

Which two shapes have to have  right angles?

Rectangle and Parallelogram

Square and Rectangle

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

Which of the shapes is NOT a quadrilateral?

Square

Trapezoid

Rectangle

Hexagon

Rhombus

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

Which of the following shapes is NOT a parallelogram?

Rhombus

Rectangle

Square

Kite

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

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

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths

A trapezoid has to have equal side lengths

An isosceles trapezoid has to have equal base angles

There is no difference between them

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?

Rhombus

Circle

Kite

Rectangle

Trapezoid

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.

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.