# MAP 8th Grade Math : Geometry

## Example Questions

### Example Question #1 : Geometry

Calculate the volume of the cone provided. Round the answer to the nearest hundredth.

Explanation:

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:

### Example Question #2 : 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 translation to the left

A translation down

rotation

A reflection over the x-axis

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.

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 #3 : Geometry

What is the scale of the dilation that the blue rectangle underwent to get the purple rectangle in the image provided?