GRAPHING REFLECTIONS WORKSHEET
About "Graphing reflections worksheet"
Graphing reflections worksheet :
Worksheet given in this section is much useful to the students who would like to practice problems on graphing reflections.
Graphing reflections worksheet - Problems
1. Triangle ABC has the vertices A(1, -3), B(4, -1) and C(6, -5). Graph the triangle ABC and its image after a reflection across the x-axis.
2. A pentagon has the vertices A(-5, 6), B(-3, 6), C(-2, 4), D(-3, 1) and E(-5,1). Graph the pentagon and its image after a reflection across the y-axis.
Graphing reflections worksheet - Solution
Problem 1 :
Triangle ABC has the vertices A(1, -3), B(4, -1) and C(6, -5). Graph the triangle ABC and its image after a reflection across the x-axis.
Solution :
Step 1 :
Sketch the triangle ABC with the vertices A(1, -3), B(4, -1) and C(6, -5).
Step 2 :
Reflect the vertex A.
Point A is 3 units below the x-axis. Count 3 units above the x-axis and plot point A'.
Step 3 :
Reflect the vertex B.
Point B is 1 unit below the x-axis. Count 1 unit above the x-axis and plot point B'.
Step 4 :
Reflect the vertex C.
Point C is 5 units below the x-axis. Count 5 units above the x-axis and plot point C'.
Step 5 :
Sketch the image (A'B'C') of the triangle ABC using the above steps.
Problem 2 :
A pentagon has the vertices A(-5, 6), B(-3, 6), C(-2, 4), D(-3, 1) and E(-5,1). Graph the pentagon and its image after a reflection across the y-axis.
Solution :
Step 1 :
Sketch the pentagon with the vertices A(-5, 6), B(-3, 6), C(-2, 4), D(-3, 1) and E(-5,1).
Step 2 :
Reflect the vertex A.
Point A is 5 units away from y-axis on the left side. Count 5 units from y-axis on the right side and plot point A'.
Step 3 :
Reflect the vertex B.
Point B is 3 units away from y-axis on the left side. Count 3 units from y-axis on the right side and plot point B'.
Step 4 :
Reflect the vertex C.
Point C is 2 units away from y-axis on the left side. Count 2 units from y-axis on the right side and plot point C'.
Step 5 :
Reflect the vertex D.
Point D is 3 units away from y-axis on the left side. Count 3 units from y-axis on the right side and plot point D'.
Step 6 :
Reflect the vertex E.
Point E is 5 units away from y-axis on the left side. Count 5 units from y-axis on the right side and plot point E'.
Step 5 :
Sketch the image of the triangle using the above steps.
After having gone through the stuff given above, we hope that the students would have understood "Graphing reflections".
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