Reflections

Front

What is the definition of reflection in geometry?

Back

Reflection in geometry is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is the line of reflection when reflecting across the x-axis?

Back

The x-axis is the line of reflection when reflecting points or shapes across it.

Front

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

Back

To reflect a point (x, y) across the x-axis, you change the y-coordinate to its opposite, resulting in the point (x, -y).

Front

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

Back

The rule for reflecting a point across the y-axis is (x, y) → (-x, y).

Front

If a point A is at (4, 5), what are the coordinates of its reflection A' across the x-axis?

Back

The coordinates of the reflection A' across the x-axis would be (4, -5).

Front

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

Back

The x-coordinate remains unchanged when a point is reflected across the x-axis.

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates of the reflected triangle A'B'C' across the x-axis?

Back

The coordinates of the reflected triangle A'B'C' would be A'(1, -2), B'(3, -4), and C'(5, -6).

Front

What is the effect of reflecting a shape across the x-axis on its area?

Back

Reflecting a shape across the x-axis does not change its area; the area remains the same.

Front

How can you determine if two shapes are reflections of each other?

Back

Two shapes are reflections of each other if they are congruent and one can be obtained from the other by flipping it over a line.

Front

What is the significance of the coordinates (x, -y) in reflection across the x-axis?

Back

The coordinates (x, -y) indicate that the x-coordinate remains the same while the y-coordinate is inverted during reflection across the x-axis.