Transformations quiz 8th grade

What is a translation in geometry?

• A translation is a type of transformation that moves every point of a figure the same distance in a specified direction.

• A translation is a method of rotating a figure around a point.

• A translation is a process of resizing a figure to make it larger or smaller.

• A translation is a reflection of a figure across a line.

What is the definition of the y-axis?

• The horizontal line in a coordinate plane where y=0.

• The vertical line in a coordinate plane where x=0.

• The line that represents the slope of a graph.

• The line that divides the coordinate plane into four quadrants.

What is the effect of translating a point 2 units to the right?

• The y-coordinate increases by 2.

• The x-coordinate increases by 2.

• The point moves diagonally up.

• The point moves diagonally down.

How do you determine the quadrant of a point (x, y)?

• Quadrant I (positive, positive)

• Quadrant II (negative, positive)

• Quadrant III (positive, negative)

• Quadrant IV (negative, negative)

If point A (2, 3) is translated 4 units up and 2 units left, what is the new point A'?

• (0, 7)

• (2, 5)

• (4, 3)

• (0, 5)

If point X (-1, 5) is translated 3 units to the left and 9 units down, what is the new point X'?

• (-4, -5)

• (2, -4)

• (-1, -4)

• (0, 4)

What is the definition of a transformation in geometry?

• A transformation is an operation that moves or changes a shape in some way to produce a new shape.

• A transformation is a method to calculate the area of a shape.

• A transformation is a technique used to measure angles in geometry.

• A transformation is a process that only enlarges or reduces a shape.

What happens to the coordinates of a point when it is translated 5 units up?

• The x-coordinate increases by 5.

• The y-coordinate increases by 5.

• The x-coordinate decreases by 5.

• The y-coordinate remains the same.

What is the result of reflecting a point across the x-axis?

• The x-coordinate of the point changes sign, while the y-coordinate remains the same.

• The y-coordinate of the point changes sign, while the x-coordinate remains the same.

• Both the x-coordinate and y-coordinate change signs.

• The point remains unchanged.

If a point is at (3, 2) and is reflected across the y-axis, what are the new coordinates?

• (3, 2)

• (-3, 2)

• (2, 3)

• (-2, 3)