Working with Line Reflections Topic Index | Geometry Index | Regents Exam Prep Center

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 Explanation Flip over the x-axis. The answer is (4,3).

 2. The image of the point (-5,4) under a reflection across the y-axis is (5,4). Choose: True False Explanation When plotted, the point is 5 units to the left of the y-axis.  The image will be 5 units to the right.

 3. The image of the point (-1, 8) under a reflection across the line y = x is (8,-1). Choose: True False Explanation When reflecting across y=x, the x and y coordinates change places.

 4. The triangle is reflected in line l. Find x, y, z. Answer x = 2 y = 6 z = 2

 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 Explanation This graph shows a reflection over the y-axis.

 7. This graph illustrates a reflection over the x-axis. True False Explanation If you folded the graph along the x-axis, the figures would coincide.

 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'? Answer A' (3,3) B' (-3,2) C' (1,-4)

 9. The line of reflection between these two triangles is y = -1. True False Explanation Remember that the line of reflection is half way between the two images.

 10. a.  Which point is a reflection of point A over the x-axis? Answer E b.  Which point is a reflection of point A over the y-axis? Answer D c.  Which point is a reflection of point A over the line y = x? Answer H

 11 What is the line of reflection for this pentagon? Answer The y-axis.   What is the ordered pair for the point on the line of reflection half way between points E and C? Answer (0,2)

 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?   Answer (-2,-1)  (-2,-4)  (-3,-4) (-3,-2)  (-4,-2)  (-4,-1)

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.

 Topic Index | Geometry Index | Regents Exam Prep Center Created by Donna Roberts