All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1981 : Common Core Math: Grade 5
Which shape has two sets of opposite, equal angles?
Rhombus
Quadrilateral
Trapezoid
Kite
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 #68 : Geometry
Which shape has to have all angles that equal
Kite
Parallelogram
Rhombus
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
Rectangle
Rhobmus
Kite
Parallelogram
Rectangle
A rectangle has angles that all measure
A kite, parallelogram, and rhombus do not have to have angles that measure
Example Question #70 : Geometry
Which shape has to have equal sides?
Rectangle
Square
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 #1 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
What two shapes have to have two sets of opposite angles that are equal in measure?
Parallelogram and Rhombus
Parallelogram and Kite
Rhombus 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 #831 : Geometry
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 reflection over the x-axis
A translation to the left
A rotation
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.
Example Question #832 : Geometry
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 rotation
A reflection over the x-axis
A translation to the left
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 the base, to the top; 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.
Example Question #833 : Geometry
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 reflection over the y-axis
A rotation
A translation down
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 clockwise, or right around the x-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 y-axis because the orange angle didn't flip over the y-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.
Example Question #834 : Geometry
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 reflcetion over the y-axis
A rotation
A translation down
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 clockwise, or right around the x-axis. The vertical, base, line of the angle goes from being the base, to the top; thus the transformation is a rotation.
The transformation can't be a reflection over the y-axis because the orange angle didn't flip over the y-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.
Example Question #835 : Geometry
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.
Reflection over the x-axis
A translation down
A rotation
Reflection over the x-axis
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, the line was not rotated because that rotation would have caused the vertical, base, line of the angle to go from being horizontal to vertical, but the line is still horizontal. The line was not moved down, as the translation is described in the answer choice, because you can tell the angle has been flipped, the straight, base line of the angle is now the top line of the angle; thus, the correct answer is a reflection over the x-axis.
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