Working with Line Reflections
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Answer the following questions dealing with line reflections.

1. The image of the point (4,-3) under a reflection across the x-axis is (-4,-3).

 
Choose:
True
False


 

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

 
Choose:
True
False


 

3.

 

 

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

 
Choose:
True
False

 


 

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  _____.

 

Choose:


 

 

6.
This graph illustrates a reflection over the
x-axis.

True
False

 
 

 

7.

 

 

This graph illustrates a reflection over the
x-axis.


True
False

 
 

 

8.

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

 

 
 

 

9.

 

 
The line of reflection between these two triangles is y = -1.

True
False

  
 

 

10. a.  Which point is a reflection of point A over the x-axis?

b.  Which point is a reflection of point A over the y-axis?

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 L-shaped figure is reflected over the
y-axis.  The image is then reflected over
the x-axis.  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. 
a.     b.  c. 

 

 

 

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 x-axis.  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 x-axis to create angle A'B'C'.  Prove that angle measure is preserved under a reflection.