ISEE Lower Level Quantitative : Shape Properties

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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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

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.

Possible Answers:

rhombus

quadrilateral

rectangle

square

All four categories are correct.

Correct answer:

All four categories are correct.

Explanation:

 

 

 

Example Question #831 : Geometry

What other shape can a parallelogram be classified as? 

 

Possible Answers:

Triangle 

Square

Rhombus

Quadrilateral 

Rectangle 

Correct answer:

Quadrilateral 

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? 

Possible Answers:

Parallelogram 

Quadrilateral 

Square

Rectangle

Correct answer:

Quadrilateral 

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? 

Possible Answers:

Square

Kite

Rectangle

Parallelogram. 

Correct answer:

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? 

 
Possible Answers:

Parallelogram

Rectangle 

Trapezoid 

Kite

Correct answer:

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? 

Possible Answers:

Square

Trapezoid 

Quadrilateral 

Rectangle 

Correct answer:

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? 

Possible Answers:

Parallelogram

Trapezoid

Rhombus 

Rectangle 

Correct answer:

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? 

Possible Answers:

Trapezoid 

Quadrilateral 

Parallogram

Kite

Correct answer:

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? 

Possible Answers:

Parallelogram

Quadrilateral 

Kite

Trapezoid

Correct answer:

Parallelogram

Explanation:

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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