Transformation and Translations Quiz

What is a translation in geometry?

• A transformation that changes the size of a figure

• A rotation of a figure around a fixed point

• A reflection of a figure across a line

• A transformation that moves every point of a figure or a space by the same distance in a given direction.

How are translations represented in a coordinate plane?

• By rotating the points of the original figure on the coordinate plane

• By changing the color of the points on the coordinate plane

• By shifting the points of the original figure horizontally and/or vertically on the coordinate plane.

• By reflecting the points of the original figure over a line on the coordinate plane

What happens to the coordinates of a point during a translation?

• The coordinates of a point are shifted by a certain distance in a specified direction.

• The coordinates of a point remain unchanged

• The coordinates of a point are multiplied by a scalar value

• The coordinates of a point are rotated around the origin

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

• Multiply the values of a and b to the x and y coordinates respectively.

• Divide the values of a and b from the x and y coordinates respectively.

• Subtract the values of a and b from the x and y coordinates respectively.

• Add the values of a and b to the x and y coordinates respectively.

If a point is translated 3 units to the right and 5 units up, what is the new coordinate?

• (x+3, y+5)

• (x-5, y-3)

• (x+5, y+3)

• (x-3, y-5)

What is the result of translating a figure by a vector (a, b)?

• A new figure rotated by a units

• A new figure shifted a units horizontally and b units vertically

• A new figure scaled by a units

• A new figure reflected across the x-axis by a units

What is the difference between a translation and a reflection?

• A translation is a change in size of a figure, while a reflection is a change in shape of a figure.

• A translation is a rotation of a figure, while a reflection is a stretch of a figure.

• A translation is a slide of a figure in a certain direction, while a reflection is a flip of a figure over a line.

• A translation is a movement of a figure to a different location, while a reflection is a change in color of a figure.

How do translations affect the orientation of a figure?

• Translations change the shape of the figure without changing its orientation.

• Translations change the size of the figure without changing its orientation.

• Translations change the color of the figure without changing its orientation.

• Translations change the position of the figure without changing its orientation.

What is the relationship between the original figure and its image after a translation?

• Perpendicular

• Similar

• Congruent

• Parallel

Can a translation change the size of a figure? Why or why not?

• False

• Only on odd days

• Maybe

• True