Transformation

What is 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 way to classify shapes based on their size.

What happens to the coordinates of a point (x, y) when it is translated 6 units up?

• The new coordinates will be (x, y + 6).

• The new coordinates will be (x + 6, y).

• The new coordinates will be (x, y - 6).

• The new coordinates will be (x - 6, y).

What are the four main types of transformations?

• Translation, Reflection, Rotation, and Dilation.

• Translation, Scaling, Shearing, and Dilation.

• Translation, Reflection, Rotation, and Compression.

• Translation, Reflection, Rotation, and Expansion.

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

• Multiply the original coordinates by the translation values.

• Add or subtract the translation values from the original coordinates.

• Reflect the point across the origin.

• Rotate the point around the origin by the translation values.

Define translation in geometry.

• Translation is a transformation that moves every point of a shape the same distance in a specified direction.

• Translation is a rotation of a shape around a fixed point.

• Translation is a reflection of a shape across a line.

• Translation is a scaling of a shape to a different size.

What is the effect of translating a point 3 units to the left and 9 units down?

• The new coordinates will be (x - 3, y - 9).

• The new coordinates will be (x + 3, y + 9).

• The new coordinates will be (x - 3, y + 9).

• The new coordinates will be (x + 3, y - 9).

If Point A is at (2, 3) and is translated 4 units left and 2 units down, what are the new coordinates?

• (-2, 1)

• (0, 1)

• (-2, 5)

• (2, 1)

If Point B is at (5, 5) and is reflected over the x-axis, what are the new coordinates?

• (5, -5)

• (-5, 5)

• (5, 5)

• (-5, -5)

What is the result of translating Point C at (1, 2) 4 units left and 2 units down?

• (-3, 0)

• (0, 0)

• (1, 0)

• (-1, 2)

How do you reflect a point (x, y) over the y-axis?

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

• The new coordinates will be (x, y).

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

• The new coordinates will be (y, x).