Perform Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What does it mean to rotate a point 360 degrees?

Back

Rotating a point 360 degrees around a center point returns the point to its original position.

Front

What is the result of reflecting a point across the x-axis?

Back

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

Front

If point A(2, 5) is reflected across the x-axis, what is the new coordinate?

Back

A'(2, -5)

Front

What is the effect of reflecting a point across the y-axis?

Back

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

Front

If point B(-5, 2) is reflected over the y-axis, what is the new coordinate?

Back

B'(5, 2)

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What happens to the coordinates of a point when it is rotated 180 degrees about the origin?

Back

Both the x and y coordinates change signs.

Front

If point C(3, 4) is rotated 180 degrees about the origin, what is the new coordinate?

Back

C'(-3, -4)

Front

What is a translation in geometry?

Back

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