Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure, which can include translations, rotations, reflections, and dilations.

Front

What are the coordinates of point C' if point C (4, -7) is reflected across the x-axis?

Back

(4, 7)

Front

What is the rule for rotating a point 90° clockwise around the origin?

Back

(x,y)→(y, -x)

Front

What is the rule for a rotation of 180° about the origin?

Back

(x, y) → (-x, -y)

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

What is the result of reflecting the point (1, 4) across the x-axis?

Back

(1, -4)

Front

What is the result of reflecting the point (3, -2) across the x-axis?

Back

(3, 2)

Front

What is a translation in geometry?

Back

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

Front

What is the effect of a dilation on a figure?

Back

A dilation changes the size of a figure but keeps its shape the same, using a scale factor.

Front

What is the rule for reflecting a point across the y-axis?

Back

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