Transformations

What is a translation in geometry?

• A translation in geometry is the process of reflecting a shape

• A translation in geometry is the process of changing the size of a shape

• A translation in geometry is the process of rotating a shape

• A translation in geometry is the process of moving a shape from one location to another without changing its size, shape, or orientation.

How do you describe a translation using coordinates?

• By specifying the color and size of the shape

• By measuring the circumference of the shape

• By counting the number of points on the shape

• A translation using coordinates can be described by specifying the amount of horizontal and vertical movement of each point on the shape.

What is the difference between a translation and a reflection?

• A translation is a slide of an object in a specific direction, while a reflection is a flip of an object over a line.

• A translation is a 3D transformation, while a reflection is a 2D transformation

• A translation is a change in color, while a reflection is a change in shape

• A translation is a type of rotation, while a reflection is a type of enlargement

If a figure is translated 3 units to the right and 4 units up, what are the new coordinates of a point with original coordinates (x, y)?

• (x + 3, y + 4)

• (x - 4, y - 3)

• (x + 4, y + 3)

• (x - 3, y - 4)

What is the rule for translating a point (x, y) to (x + 2, y - 3)?

• Add 3 to the x-coordinate and subtract 2 from the y-coordinate.

• Subtract 2 from the x-coordinate and add 3 to the y-coordinate.

• Add 2 to the x-coordinate and subtract 3 from the y-coordinate.

• Multiply the x-coordinate by 2 and divide the y-coordinate by 3.

Explain the concept of a vector in relation to translations.

• A vector in relation to translations is a mathematical equation used to calculate the distance between two points

• A vector in relation to translations is a term used to describe the rotation of an object around a fixed point

• A vector in relation to translations is a type of graph used to plot the movement of an object

• A vector in relation to translations represents a quantity that has both magnitude and direction, and it is used to describe the displacement of a point from its original position to a new position after a translation.

What is the result of translating a figure by a negative vector?

• The figure moves in a random direction

• The figure stays in the same position

• The figure disappears

• The result of translating a figure by a negative vector is that the figure moves in the opposite direction of the vector.

How do you determine the image of a point after a translation?

• By multiplying the translation vector with the coordinates of the point.

• By dividing the translation vector by the coordinates of the point.

• By adding the translation vector to the coordinates of the point.

• By subtracting the translation vector from the coordinates of the point.

What are the properties of a translation in geometry?

• The properties of a translation in geometry include that it is a transformation that moves every point of a figure the same distance and in the same direction.

• A translation in geometry only moves some points of a figure, not all

• A translation in geometry involves rotating the figure around a fixed point

• The properties of a translation in geometry include changing the size of the figure

Explain how to perform a translation on a coordinate grid.

• To perform a translation on a coordinate grid, you need to change the size of the shape without moving it.

• To perform a translation on a coordinate grid, you need to rotate the shape around a fixed point.

• To perform a translation on a coordinate grid, you need to move each point of the shape a different distance and in different directions.

• To perform a translation on a coordinate grid, you need to move each point of the shape the same distance and in the same direction. This can be done by adding or subtracting the same value to the x and y coordinates of each point.