Reflections

Multiple Choice

Which of the following statements best describes the reflection of a point not lying on the line of reflection?

• The point remains unchanged.

• The line is the perpendicular bisector of the segment joining the point and its image.

• The point moves parallel to the line.

• The image and preimage are the same point.

Multiple Choice

Which of the following statements best describes what happens when a polygon is reflected?

• Each vertex of the polygon is mapped to a new location across the line of reflection, forming a congruent image.

• The polygon is rotated around a fixed point.

• The polygon is resized to form a similar image.

• The polygon is translated to a new position without changing orientation.

Fill in the Blanks

How can you use a ruler to check your work when reflecting a shape?

Multiple Select

Which of the following are correct coordinate rules for reflection?

• Reflection over x-axis: (x, y) → (x, -y)

• Reflection over y-axis: (x, y) → (-x, y)

• Reflection over y = x: (x, y) → (y, x)

• Reflection over y = -x: (x, y) → (-y, -x)

Multiple Choice

After reflecting the triangle with vertices A(-2,1), B(1,4), and C(3,2) over the x-axis, what are the coordinates of the image of vertex B?

• (1, -4)

• (-1, 4)

• (1, 4)

• (-1, -4)

Fill in the Blanks

When reflecting a polygon over the y-axis, what happens to the x-coordinates of its vertices?

Multiple Choice

When a point (a, b) is reflected over the line y = x, what will be the coordinates of its image?

• (b, a)

• (-a, b)

• (a, -b)

• (-b, -a)