Transformations

Which of these transformations does NOT preserve congruence?

• Reflection

• Dilation

• Rotation

• Translation

Answer explanation

Dilation makes a shape bigger or smaller, to preserve congruence, the shape must remain the same size.

Which of these transformations DOES preserve orientation? (there are TWO correct choices!)

• Reflection

• Translation

• Rotation

• Dilation

Answer explanation

Reflections and rotations turn the shape, so orientation is not preserved.

The angles of a shape always remain congruent, no matter which transformation occurs.

• True

• False

What is the rule for a translation 5 units up and 3 units left?

• (x+5, y+3)

• (x+3, y+5)

• (x+5, y-3)

• (x-3, y+5)

What is the rule for a reflection across the x-axis?

• (x, y)

• (x, -y)

• (-x, y)

• (y, -x)

What is the rule for a rotation 180 degrees clockwise around the origin?

• (x, -y)

• (y, -x)

• (-y, x)

• (-x, -y)

What is the rule for a dilation with a scale factor of 1/2?

• (2x, 2y)

• (x+1/2, y+1/2)

• (1/2x, 1/2y)

• (x-1/2, y-1/2)

What type of transformation is shown in the figure given?

• Translation

• Reflection

• Rotation

• Dilation

What type of transformation is shown in the figure given?

• Translation

• Reflection

• Rotation

• Dilation

What type of transformation is shown in the figure given?

• Translation

• Reflection

• Rotation

• Dilation