All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #12 : Shape Properties
Which shape can have sides of any length, but has to have one set of parallel sides?
Rectangle
Quadrilateral
Trapezoid
Square
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 #61 : Geometry
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 #62 : Geometry
Which shape has two sets of opposite sides that are equal in length and also parallel?
Parallogram
Quadrilateral
Kite
Trapezoid
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 #822 : Geometry
Which shape has two sets of opposite, equal angles?
Kite
Parallelogram
Quadrilateral
Trapezoid
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.
Example Question #831 : Geometry
Which shape has two sets of opposite, equal angles?
Rhombus
Quadrilateral
Kite
Trapezoid
Rhombus
A rhombas 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.
Example Question #1981 : Common Core Math: Grade 5
Which shape has to have all angles that equal
Kite
Rhombus
Parallelogram
Square
Square
A square has angles that all measure
A kite, parallelogram, and rhombus do not have to have angles that measure
Example Question #69 : Geometry
Which shape has to have all angles that equal
Kite
Rhobmus
Rectangle
Parallelogram
Rectangle
A rectangle has angles that all measure
A kite, parallelogram, and rhombus do not have to have angles that measure
Example Question #64 : Geometry
Which shape has to have equal sides?
Square
Rectangle
Kite
Parallelogram
Square
A square has to have equal sides.
A rectangle and parallelogram have opposite, equal side lengths.
A kite has two pairs of adjacent sides that are equal.
Example Question #832 : Geometry
What two shapes have to have two sets of opposite angles that are equal in measure?
Parallelogram and Rhombus
Rhombus and Kite
Parallelogram and Kite
Quadrilateral and Kite
Parallelogram and Rhombus
A parallelogram and a rhombus have two sets of opposite, equal angles.
A kite only has one set of opposite, equal angles and a quadrilateral does not have to have any equal angles.
Example Question #1 : Angles And Their Mesures: Ccss.Math.Content.8.G.A.1b
Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image.
A translation to the left
A rotation
A reflection over the x-axis
A rotation
First, let's define the possible transformations.
Rotation: A rotation means turning an image, shape, line, etc. around a central point.
Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.
Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.
In the images from the question, notice that the black angle rotates counterclockwise, or left around the y-axis. The vertical, base, line of the angle goes from being vertical to horizontal; thus the transformation is a rotation.
The transformation can't be a reflection over the x-axis because the orange angle didn't flip over the x-axis.
The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image.