Geometry - MAP 8th Grade Math
Card 1 of 12
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Tap to reveal answer
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
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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.
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.
Tap to reveal answer
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.
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
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.
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What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
Tap to reveal answer
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is 
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
← Didn't Know|Knew It →
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Tap to reveal answer
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
← Didn't Know|Knew It →
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.
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.
Tap to reveal answer
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.
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
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.
← Didn't Know|Knew It →
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
Tap to reveal answer
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
← Didn't Know|Knew It →
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
Tap to reveal answer
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
← Didn't Know|Knew It →
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Tap to reveal answer
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
← Didn't Know|Knew It →
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.
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.
Tap to reveal answer
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.
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
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.
← Didn't Know|Knew It →
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Calculate the volume of the cone provided. Round the answer to the nearest hundredth.
Tap to reveal answer
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:
Now that we have this formula, we can substitute in the given values and solve:
← Didn't Know|Knew It →
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.
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.
Tap to reveal answer
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.
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
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.
← Didn't Know|Knew It →
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?
Tap to reveal answer
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
A dilation creates an image of the same shape, but of a different size. Dilations are always done with a certain scale factor. Let's look at the image in the picture and determine the length and width of each of the rectangles:
Notice that both the length and the width of the rectangle doubles in the purple rectangle, from the blue rectangle; thus the scale of the dilation is
← Didn't Know|Knew It →