# ISEE Lower Level Quantitative : Shape Properties

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of An Equilateral Triangle

What is the difference between an equilateral triangle and a scalene triangle?

The number of side lengths

The length of their sides

Their color

The sum of their angle measurements

The sum of their side lengths

The length of their sides

Explanation:

Of the choices listed, the main difference between an equilateral triangle and a scalene triangle is their side lengths. An equilateral triangle has to have equal sides, but a scalene triangle can have all different side lengths.

### Example Question #11 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

A two-dimensional figure has four sides, the length is 3 centimeters. All of its four angles are right angles. Choose the correct category (or categories) that describes this type of figure.

rhombus

rectangle

square

All four categories are correct.

All four categories are correct.

Explanation:

### Example Question #831 : Geometry

What other shape can a parallelogram be classified as?

Triangle

Square

Rhombus

Rectangle

Explanation:

A parallelogram can not be classified as a square because a square has to have equal sides, but a parallelogram can have two different side lengths, as long as the opposite side lengths are equal.

A parallelogram can not be classified as a rectangle because a rectangle has to have angles, and a parallelogram does not.

A parallelogram can not be classified as a triangle because a parallelogram has to have sides and a triangle only has sides.

A parallelogram can not be classified as a rhombus because a rhombus has to have equal sides and a parallelogram does not.

A parallelogram has four sides, and all shapes with four sides are quadrilaterals.

### Example Question #592 : Plane Geometry

Which shape can have all sides of varying length?

Parallelogram

Square

Rectangle

Explanation:

A quadrilateral has to have side lengths, but they can all cary in size.

A square has equal sides.

A rectangle and parallelogram have opposite, equal side lengths.

### Example Question #593 : Plane Geometry

Which shape has only one pair of opposite, equal angles?

Square

Kite

Rectangle

Parallelogram.

Kite

Explanation:

A kite has to one one set of opposite, equal angles.

A square and a rectangle have equal angles.

A parallelogram has two sets of opposite, equal angles.

### Example Question #11 : Shape Properties

Which shape has two pairs of adjacent sides, with the adjacent sides being equal in length?

Parallelogram

Rectangle

Trapezoid

Kite

Kite

Explanation:

A kite has two sets of adjacent sides, and the adjacent sides have equal lengths.

A rectangle, parallelogram, and trapezoid do not have adjacent sides that are qual in length.

### Example Question #595 : Plane Geometry

Which shape can have sides of any length, but has to have one set of parallel sides?

Square

Trapezoid

Rectangle

Trapezoid

Explanation:

A trapezoid can have sides of any length, but one set of sides have to be parallel.

Both a square and a rectangle cannot have sides of any length.

A quadrilateral can have sides of any length, but it does not have to have a pair of sides that are parallel.

### Example Question #596 : Plane Geometry

Which shape can have angles of all different degrees?

Parallelogram

Trapezoid

Rhombus

Rectangle

Trapezoid

Explanation:

A trapezoid can have angles of all different degrees.

A square and a rectangle have to have all equal angles.

A parallelogram has to have opposite, equal angles.

### Example Question #597 : Plane Geometry

Which shape has two sets of opposite sides that are equal in length and also parallel?

Trapezoid

Parallogram

Kite

Parallogram

Explanation:

A parallelogram has two sets of opposite sides that are equal in length and parallel.

A trapezoid and a quadrilateral can have sides of any length.

A kite does not have any sets of parallel sides.

### Example Question #1 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

Which shape has two sets of opposite, equal angles?

Parallelogram

Kite

Trapezoid 