Unit 4 Geometric Transformations Name __________________________Reflections Guided Notes

Reflection: __________________________________________________________________________________________________________________________________________________________________________________________

*When you look in a mirror, what happens? ______________________________________________________________

Reflection over the x-axis:Example- Using the mirror

Do you see a pattern in the coordinates? __________________________________________________________________________________________________________________________________________________________________

Rule for REFLECTION OVER THE X-AXIS:

A ___________ A’ __________

B ___________ B’ __________

C ___________ C’ __________

D ___________ D’ __________

Reflection over the y-axis:Example- Using the mirror

Do you see a pattern in the coordinates? __________________________________________________________________________________________________________________________________________________________________

Rule for REFLECTION OVER THE Y-AXIS:

Practice without a grid:3. Using the coordinates given, complete the table for a reflection over the x-axis and the y-axis.

X ___________ X’ __________

Y ___________ Y’ __________

Z ___________ Z’ __________

2)

Pre-image Reflection over the x-axis

(3, -2)

(-1, 0)(-5, 7)

Pre-image Reflection over the y-axis

(3, -2)

(-1, 0)(-5, 7)

Independent Practice-Reflections

Explain your process.

On the coordinate grid below, draw the image of ABCDE after a reflection over the x-axis. Then explain your process so that someone who knows nothing about transformations would be able to understand.

Explain: ___________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

Unit 4 Geometric Transformations Name ____________________Homework-Reflections