Reflections

Question 1

What is an Isometry?

Answer 1

A Transformation that does not change the shape or size of a figure. Reflections, translations, and rotations are all Isometries. Isometries are also called Congruence Transformations or Rigid Motions.

Question 2

What is an Isometry?

Answer 2

A Transformation that does not change the shape or size of a figure. Reflections, translations, and rotations are all isometries. Isometries are also called Congruence Transformations or Rigid Motions.

Question 3

What is a Reflection?

Answer 3

A Transformation that moves a figure (the preimage) by flipping it across a line. The reflected figure is called the Image. A Reflection is an Isometry, so the Image is always Congruent to the Preimage.

Question 4

What is the Line of Reflection?

Answer 4

The line that a Preimage is reflected across. The Line of Reflection is the Perpendicular Bisector of each Segment joining each Point and its image.

Question 5

What is the Line of Reflection?

Answer 5

The line that a Preimage is reflected across. The Line of Reflection is the Perpendicular Bisector of each Segment joining each Point and its Image.

Question 6

What is the Coordinate Conversion for Reflections across the X-Axis?

Answer 6

P(x, y) -> P’(x, -y).

Question 7

What is the Coordinate Conversion for Reflections across the Y-Axis?

Answer 7

P(x, y) -> P’(-x, y).

Question 8

What is the Coordinate Conversion for Reflections across the line y=x?

Answer 8

P(x, y) -> P’(y, x).