Transformations with Coordinates

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

How do you perform a translation on a coordinate?

Back

To translate a point, you add or subtract values from its x and y coordinates.

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

How do you rotate a point 180° about the origin?

Back

To rotate a point 180°, you change the signs of both the x and y coordinates.

Front

What is the result of reflecting a point (x, y) across the line y = x?

Back

The result is the point (y, x).

Front

If a point is translated 3 units to the left and 2 units up, what is the new coordinate?

Back

Subtract 3 from the x-coordinate and add 2 to the y-coordinate.

Front

What is the coordinate of point A(2, 3) after a reflection across the y-axis?

Back

A'(-2, 3).

Front

What is the coordinate of point B(-4, 5) after a rotation of 90° counterclockwise about the origin?

Back

B'(-5, -4).