Reflections

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What are the two main axes in a Cartesian coordinate system?

Back

The x-axis (horizontal) and the y-axis (vertical).

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflected point will be (-x, y).

Front

How do you reflect a point (x, y) over the x-axis?

Back

The reflected point will be (x, -y).

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The reflected point is (3, -4).

Front

What is the result of reflecting the point (-2, 5) over the y-axis?

Back

The reflected point is (2, 5).

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates of A' after reflecting over the y-axis?

Back

A'(-1, 2), B'(-3, 4), C'(-5, 6).

Front

What happens to the coordinates of a point when it is reflected over the line y = x?

Back

The coordinates of the point (x, y) become (y, x).

Front

If a point is reflected over the x-axis, what happens to its y-coordinate?

Back

The y-coordinate changes sign.

Front

What is the reflection of the point (0, 0) over any axis?

Back

The reflection remains (0, 0).