ISEE Lower Level Quantitative : Shape Properties
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Example Questions
Example Question #501 : Geometry
What is the difference between an equilateral triangle and a scalene triangle?
The number of side lengths
The sum of their angle measurements
Their color
The sum of their side lengths
The length of their sides
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 
Example Question #11 : Shape Properties
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.
All four categories are correct.
rectangle
square
quadrilateral
rhombus
All four categories are correct.
Example Question #11 : Shape Properties
What other shape can a parallelogram be classified as?
Quadrilateral
Triangle
Rectangle
Rhombus
Square
Quadrilateral
A parallelogram can not be classified as a square because a square has to have 
A parallelogram can not be classified as a rectangle because a rectangle has to have 
A parallelogram can not be classified as a triangle because a parallelogram has to have 
A parallelogram can not be classified as a rhombus because a rhombus has to have 
A parallelogram has four sides, and all shapes with four sides are quadrilaterals.
Example Question #12 : Shape Properties
Which shape can have all sides of varying length?
Parallelogram
Square
Quadrilateral
Rectangle
Quadrilateral
A quadrilateral has to have 
A square has 
A rectangle and parallelogram have opposite, equal side lengths.
Example Question #13 : Shape Properties
Which shape has only one pair of opposite, equal angles?
Square
Rectangle
Kite
Parallelogram.
Kite
A kite has to one one set of opposite, equal angles.
A square and a rectangle have 
A parallelogram has two sets of opposite, equal angles.
Example Question #14 : Shape Properties
Which shape has two pairs of adjacent sides, with the adjacent sides being equal in length?
Trapezoid
Parallelogram
Kite
Rectangle
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 #15 : Shape Properties
Which shape can have sides of any length, but has to have one set of parallel sides?
Trapezoid
Quadrilateral
Square
Rectangle
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 #16 : Shape Properties
Which shape can have angles of all different degrees?
Parallelogram
Rhombus
Rectangle
Trapezoid
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 #17 : Shape Properties
Which shape has two sets of opposite sides that are equal in length and also parallel?
Kite
Trapezoid
Quadrilateral
Parallogram
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 #18 : Shape Properties
Which shape has two sets of opposite, equal angles?
Quadrilateral
Kite
Trapezoid
Parallelogram
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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