Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 2 units to the right and 6 units down?

Back

The new coordinates will be (x + 2, y - 6).

Front

What is the result of translating the point (1, 2) 3 units to the left and 4 units up?

Back

The new coordinates will be (-2, 6).

Front

What does it mean to rotate a point 180 degrees around the origin?

Back

Rotating a point 180 degrees around the origin means to turn the point to the opposite side of the origin, resulting in the coordinates (-x, -y).

Front

What is the image of the point (2, 3) after a 180-degree rotation around the origin?

Back

The image will be (-2, -3).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

What is the image of the point (3, -5) after reflecting across the x-axis?

Back

The image will be (3, 5).

Front

If a point is translated 5 units down, what happens to its y-coordinate?

Back

The y-coordinate decreases by 5.

Front

What is the result of translating the point (4, 2) 1 unit to the right and 3 units down?

Back

The new coordinates will be (5, -1).

Front

What does it mean to translate a figure?

Back

To translate a figure means to move it from one location to another without changing its shape, size, or orientation.