GEO S1 Spiral Review #10

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. Common transformations include translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image. The line of reflection is the line over which the shape is flipped.

Front

What are the coordinates of a point reflected over the x-axis?

Back

If a point P has coordinates (x, y), its reflection over the x-axis will have coordinates (x, -y).

Front

What are the coordinates of a point reflected over the y-axis?

Back

If a point P has coordinates (x, y), its reflection over the y-axis will have coordinates (-x, y).

Front

What are the coordinates of a point reflected over the line y=x?

Back

If a point P has coordinates (x, y), its reflection over the line y=x will have coordinates (y, x).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

How do you perform a translation on a point?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in the new point (x+a, y+b).

Front

What is the result of reflecting the point (4, 8) over the x-axis?

Back

The reflection of the point (4, 8) over the x-axis is (4, -8).

Front

What is the result of reflecting the point (-6, 4) over the line y=x?

Back

The reflection of the point (-6, 4) over the line y=x is (4, -6).