Reflections

Front

What is a reflection in geometry?

Back

A reflection is when you flip or mirror an object across a line.

Front

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

Back

(x, y) → (x, -y)

Front

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

Back

(x, y) → (-x, y)

Front

What is the rule for reflecting a point across the line y = x?

Back

(x, y) → (y, x)

Front

What is the rule for reflecting a point across the origin?

Back

(x, y) → (-x, -y)

Front

Reflect the point A(2, 3) over the x-axis. What is the new point?

Back

A'(2, -3)

Front

Reflect the point B(-1, 4) over the y-axis. What is the new point?

Back

B'(1, 4)

Front

Reflect the point C(5, -2) over the line y = x. What is the new point?

Back

C'(-2, 5)

Front

Reflect the point D(-3, -4) over the origin. What is the new point?

Back

D'(3, 4)

Front

Which transformation is represented by (x, y) → (x, -y)?

Back

Reflection over the x-axis.