translations

What is a translation in geometry?

• A type of transformation that rotates a shape around a point.

• A type of transformation that moves every point of a shape a certain distance in a specified direction.

• A type of transformation that reflects a shape over a line.

• A type of transformation that scales a shape up or down.

How do you translate a point (x, y) 2 units to the right and 3 units up?

• The new coordinates will be (x + 2, y + 3).

• The new coordinates will be (x - 2, y + 3).

• The new coordinates will be (x + 2, y - 3).

• The new coordinates will be (x - 2, y - 3).

What is the formula for finding the new coordinates after a translation?

• New coordinates = (original x + translation x, original y + translation y).

• New coordinates = (original x - translation x, original y - translation y).

• New coordinates = (original x * translation x, original y * translation y).

• New coordinates = (original x / translation x, original y / translation y).

What is the result of translating point P(5, 7) by the vector (-2, -4)?

• (3, 3)

• (7, 11)

• (5, 3)

• (3, 11)

If point B(1, 2) is translated to B'(4, 5), what is the translation vector?

• (2, 2)

• (3, 3)

• (4, 4)

• (1, 1)

If a triangle is translated 5 units down, what happens to its y-coordinates?

• All y-coordinates of the triangle decrease by 5.

• All y-coordinates of the triangle increase by 5.

• The y-coordinates remain unchanged.

• Only the x-coordinates are affected.

What are the coordinates of point A(2, 3) after translating it 4 units left and 2 units down?

• (-2, 1)

• (0, 1)

• (2, 5)

• (-2, 5)

How can you express a translation of 6 units to the right and 4 units down mathematically?

• (x + 6, y - 4)

• (x - 6, y + 4)

• (x + 4, y - 6)

• (x - 4, y + 6)

How do you determine the translation vector from point A to point A'?

• Add the coordinates of point A to the coordinates of point A': A + A'

• Subtract the coordinates of point A from the coordinates of point A': A' - A

• Multiply the coordinates of point A by the coordinates of point A': A * A'

• Divide the coordinates of point A by the coordinates of point A': A' / A

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

• The shape remains in the same position; there is no change.

• The shape moves to the left by 0 units.

• The shape moves up by 0 units.

• The shape rotates 90 degrees.