ISEE Lower Level Quantitative : Geometry

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

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Example Questions

Example Question #1981 : Common Core Math: Grade 5

Which shape has two sets of opposite, equal angles? 

Possible Answers:

Rhombus

Quadrilateral 

Trapezoid 

Kite

Correct answer:

Rhombus

Explanation:

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 

Possible Answers:

Kite

Parallelogram 

Rhombus

Square

Correct answer:

Square

Explanation:

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 

Possible Answers:

Rectangle

Rhobmus

Kite

Parallelogram

Correct answer:

Rectangle

Explanation:

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? 

Possible Answers:

Rectangle 

Square 

Kite

Parallelogram

Correct answer:

Square 

Explanation:

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? 

Possible Answers:

Parallelogram and Rhombus

Parallelogram and Kite

Rhombus and Kite

Quadrilateral and Kite

Correct answer:

Parallelogram and Rhombus

Explanation:

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. 

1

Possible Answers:

A reflection over the x-axis 

A translation to the left

 rotation 

Correct answer:

 rotation 

Explanation:

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. 

2

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. 

3

Possible Answers:

 rotation 

A reflection over the x-axis 

A translation to the left

Correct answer:

 rotation 

Explanation:

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. 

4

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. 

5

Possible Answers:

A reflection over the y-axis 

 rotation 

A translation down

Correct answer:

 rotation 

Explanation:

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. 

6

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. 

7

Possible Answers:

A reflcetion over the y-axis

 rotation 

A translation down

Correct answer:

 rotation 

Explanation:

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. 

8

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. 

9

Possible Answers:

Reflection over the x-axis

A translation down

 rotation 

Correct answer:

Reflection over the x-axis

Explanation:

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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