2.2 – Perform Reflections

Reflection:Flips a shape over a given line

'A'B

'C

perpendicular

bisecting

1. When the shapes below are reflected across the given line of reflection, the original shape and the image (reflection) create a new shape. For each reflection below, name the new shape that is created.

P

'P

P'P P 'P

P

'P

P

'P

2.

3. Graph the reflection of the polygon in the given line.

a. x – axis

'C'A

'B

1, −2( )

4, −4( )

3, −1( )

b. y – axis

'C

'A

'B

'D

A'_______

B '_______

C '_______

D'_______

4, −1( )

4, −4( )

2, −4( )

2, −1( )

'C

'A

'B

c. y = x

−3,−1( )

−4,2( )

0,3( )

4. Graph the reflection of the polygon in the given line. Label all new points with primes.

a. x = 1

'C'A

'B

5,3( )

5,0( )

2,2( )

b. x – axis

'C

'A

'B

'D

A'_______

B '_______

C '_______

D'_______

−4,−2( )

−2,2( )

1,1( )

−2,−2( )

c. y = -1

'C

A'

'B

D'

A'_______

B '_______

C '_______

D'_______

−2,−3( )

−4,−1( )

2, −1( )

0, −4( )

5. Determine the line of reflection for the given shapes below.

a.

y =−4

b.

x =1

c.

y =−x

6. Reflect the object across the y-axis, and then reflect the new image across the x-axis. Use double prime marks for the last image.

'C'A

'B

C '' A''

B ''