Answer the following
questions dealing with line reflections.
1. 
The image of
the point (4,3) under a reflection across the xaxis is
(4,3).




2. 
The image of
the point (5,4) under a reflection across the yaxis is
(5,4).




3.

The image of the
point (1, 8) under a reflection across the line y = x is
(8,1).




4. 

The triangle is reflected in line l.
Find x, y, z. 


5. 
If a reflection in the line y = x
occurs, then the rule for this reflection is _____.



6. 




7.





8. 

Triangle
ABC has coordinates A(3,3),
B(3,2) and C(1,4). If
the triangle is reflected over the yaxis, what are the
coordinates of image triangle A'B'C'?


9.





10. 

a.
Which point is a
reflection of point A over the xaxis?

b. Which
point is a reflection of point A over the yaxis?

c. Which
point is a reflection of point A over the line
y = x?


11. 

What is the line
of reflection for this pentagon?
What is the ordered pair for
the point on the line of reflection half way between
points E and C?


12. 

This
Lshaped figure is reflected over the
yaxis. The image is
then reflected over
the xaxis. What are the coordinates
of the vertices of the final image?


Grab your graph paper and pencil!
13. 
The vertices of a triangle are A(2,5),
B(4,0), C(2,4). Find the
coordinates of A'B'C', the images of the
vertices of triangle ABC under the following
reflections.



14. 
Triangle ABC has vertices A(1,4),
B(2,7), C(5,4). Its image is
triangle A'B'C' with vertices A'(1,0),
B'(2,3), C"(5,0). Graph the
triangles and draw the line of reflection.
Write the equation of the line of reflection.



15. 

Given
with vertices
. 
a.) Draw
and its reflection in the xaxis. Label the graph.
b.) How many points remain static (fixed)
under this reflection?
State the coordinates of these points.




16. 


Angle ABC has been
reflected in the xaxis to create angle A'B'C'.
Prove that angle measure is preserved under a reflection. 




