Reflections: Exploring the Movement of Points

Reflections Practice

Reflections over the x-axis

When reflecting over the x axis, the shape flips up or down.

Reflections over the x axis

• A(x, y) --> A'(x, -y)

• The x coordinate stays the same.

• The y coordinate changes sign.

Reflection of B(1, 4)

Keep x the same.

Change the sign of y.

B'(1, -4)

Multiple Choice

Find the reflection of A(-2, 1) across the x-axis.

• (2, 1)

• (2, -1)

• (-2, -1)

• (1, -2)

Multiple Choice

Given point Q(-4, 2), which point is the reflection across the x-axis?

• (-4, -2)

• (4, -2)

• (4, 2)

• (-2, 4)

Multiple Choice

Given the point M(-3, -1), determine the point that is the reflection across the x-axis.

• (3, 1)

• (3, -1)

• (1, 3)

• (-3, 1)

Reflections across the y-axis

• The shape flips left or right.

• The x coordinate changes sign.

• The y coordinate stays the same.

Given point A(1, 3), find the reflection over the y axis.

Multiple Choice

Given point B(5, 2), determine the reflection over the y-axis.

• (-5, -2)

• (-5, 2)

• (5, -2)

• (-2, -5)

Multiple Choice

Given the point C(4, -1), determine the reflection across the y-axis.

• (4, 1)

• (4, -1)

• (-4, 1)

• (-4, -1)

Multiple Choice

Given the point (-7, 9), determine its reflection across the y-axis.

• (7, -9)

• (-7, -9)

• (7, 9)

• (-7, 9)

Identify the axis of reflection.

• The reflected axis coordinate, that coordinate stays the same.

• The other coordinate changes sign.

Multiple Select

Select all the sets that are reflections across the X AXIS.

• A(5, 6) --> A'(5, -6)

• B(3, -8) --> B'(3, 8)

• C(5, -5) --> C'(-5, -5)

• D(-6, -1) --> D'(-6, 10

• E(1, 6) --> E'(1, -6)

Fill in the Blank

What is the coordinate of the point H(3, -4) if it is reflected across the y-axis.