# 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?

Kite

Triangle

Rectangle

Rhombus

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 #1 : Shape Properties

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

Their angle measurments

The sum of their angles

Their color

The number of sides they each have

Their side lengths

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?

Rhombus and Triangle

Rectangle and Rhombus

Trapezoid and Rhombus

Trapezoid 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 length of the sides

The number of sides

The color

The volume

The area

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 #1051 : Ssat Upper Level Quantitative (Math)

Which two shapes have to have right angles?

Rectangle and Rhombus

Square and Rectangle

Rectangle and Parallelogram

Square 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?

Hexagon

Rhombus

Rectangle

Square

Trapezoid

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 #1671 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following shapes is NOT a parallelogram?

Square

Rhombus

Rectangle

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 side lengths

There is no difference between them

A trapezoid has to have equal base angles

An isosceles trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths

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

Which shape is NOT a quadrilateral?

Rectangle

Rhombus

Kite

Trapezoid

Circle

Circle

Explanation:

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

### 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 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.

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.
By definition, a right triangle has to have one right angle, or a angle, and an isosceles triangle has equal base angles and two equal side lengths. 