### All ISEE Lower Level Quantitative Resources

## 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?

**Possible Answers:**

The number of side lengths

The length of their sides

Their color

The sum of their angle measurements

The sum of their side lengths

**Correct answer:**

The length of their sides

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.

**Possible Answers:**

rhombus

quadrilateral

rectangle

square

All four categories are correct.

**Correct answer:**

All four categories are correct.

### Example Question #831 : Geometry

What other shape can a parallelogram be classified as?

**Possible Answers:**

Triangle

Square

Rhombus

Quadrilateral

Rectangle

**Correct answer:**

Quadrilateral

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?

**Possible Answers:**

Parallelogram

Quadrilateral

Square

Rectangle

**Correct answer:**

Quadrilateral

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?

**Possible Answers:**

Square

Kite

Rectangle

Parallelogram.

**Correct answer:**

Kite

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?

**Possible Answers:**

Parallelogram

Rectangle

Trapezoid

Kite

**Correct answer:**

Kite

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?

**Possible Answers:**

Square

Trapezoid

Quadrilateral

Rectangle

**Correct answer:**

Trapezoid

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?

**Possible Answers:**

Parallelogram

Trapezoid

Rhombus

Rectangle

**Correct answer:**

Trapezoid

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?

**Possible Answers:**

Trapezoid

Quadrilateral

Parallogram

Kite

**Correct answer:**

Parallogram

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?

**Possible Answers:**

Parallelogram

Quadrilateral

Kite

Trapezoid

**Correct answer:**

Parallelogram

A parallelogram has two sets of opposite, equal angles.

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

A quadrilateral and trapezoid do not have to have any equal angles.

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