Quiz about Translations in the Coordinate Plane

Question 1

When a figure is translated to the right, what happens to the x-coordinate?

Accepted Answer

The x-coordinate gets larger (add to x).

Answer

The x-coordinate gets smaller (subtract from x).

Answer

The x-coordinate remains the same.

Answer

The x-coordinate becomes negative.

Question 2

What does the translation rule (x, y) --> (x - 1, y) indicate?

Accepted Answer

It indicates a translation 1 unit to the left.

Answer

It indicates a translation 1 unit to the right.

Answer

It indicates a translation 1 unit up.

Answer

It indicates a translation 1 unit down.

Question 3

When a figure is translated down, what happens to the y-coordinate?

Accepted Answer

The y-coordinate gets smaller (subtract from y).

Answer

The y-coordinate gets larger (add to y).

Answer

The y-coordinate stays the same.

Answer

The y-coordinate becomes negative.

Question 4

What happens to the coordinates of a point when it is translated 2 units to the right?

Accepted Answer

The x-coordinate increases by 2.

Answer

The y-coordinate increases by 2.

Answer

The x-coordinate decreases by 2.

Answer

The coordinates remain unchanged.

Question 5

What is the translation rule for moving a point 2 units down and 3 units to the right?

Accepted Answer

(x, y) --> (x + 3, y - 2)

Answer

(x, y) --> (x - 3, y + 2)

Answer

(x, y) --> (x + 2, y - 3)

Answer

(x, y) --> (x - 2, y + 3)

Question 6

What is the translation rule for moving a point 5 units down and 3 units left?

Accepted Answer

(x, y) --> (x - 3, y - 5)

Answer

(x, y) --> (x + 3, y - 5)

Answer

(x, y) --> (x - 3, y + 5)

Answer

(x, y) --> (x + 3, y + 5)

Question 7

How do you describe a translation that moves a figure down 6 units and to the left 2 units?

Accepted Answer

(x, y) --> (x - 2, y - 6)

Answer

(x, y) --> (x + 2, y + 6)

Answer

(x, y) --> (x - 2, y + 6)

Answer

(x, y) --> (x + 2, y - 6)

Question 8

If point A(2, 3) is translated using the rule (x, y) --> (x + 5, y - 2), what are the coordinates of A'?

Accepted Answer

(7, 1)

Answer

(5, 5)

Answer

(2, 1)

Answer

(7, 3)

Question 9

What is the translation rule for moving a point 4 units up and 1 unit left?

Accepted Answer

(x, y) --> (x - 1, y + 4)

Answer

(x, y) --> (x + 1, y - 4)

Answer

(x, y) --> (x - 4, y + 1)

Answer

(x, y) --> (x + 4, y - 1)

Question 10

If a point (x, y) is translated 3 units up, what is the new coordinate?

Accepted Answer

(x, y + 3)

Answer

(x, y + 2)

Answer

(x + 3, y)

Answer

(x, y - 3)

Question 11

What is the effect of translating a point 0 units horizontally and 4 units vertically?

Accepted Answer

The x-coordinate remains the same, and the y-coordinate increases by 4.

Answer

The x-coordinate increases by 4, and the y-coordinate remains the same.

Answer

Both the x-coordinate and y-coordinate increase by 4.

Answer

The x-coordinate decreases by 4, and the y-coordinate remains the same.

Question 12

If triangle ABC is translated down 3 and right 4, what is the translation rule?

Accepted Answer

(x, y) --> (x + 4, y - 3)

Answer

(x, y) --> (x - 4, y + 3)

Answer

(x, y) --> (x + 3, y - 4)

Answer

(x, y) --> (x - 3, y + 4)

Question 13

If point P(-1, 2) is translated 3 units up, what are the coordinates of P'?

Accepted Answer

(-1, 5)

Answer

(2, 2)

Answer

(-1, 3)

Answer

(0, 5)

Question 14

When translating a figure, what does it mean if the translation rule is (x, y) --> (x + a, y + b)?

Accepted Answer

It means the figure is moved 'a' units horizontally and 'b' units vertically.

Answer

It means the figure is rotated 'a' degrees and 'b' degrees.

Answer

It means the figure is reflected over the x-axis and y-axis.

Answer

It means the figure is scaled by a factor of 'a' and 'b'.

Question 15

What is a translation in the coordinate plane?

Accepted Answer

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

Answer

A transformation that rotates a figure around a point.

Answer

A transformation that reflects a figure over a line.

Answer

A transformation that changes the size of a figure.

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