GRAPHING REFLECTIONS WORKSHEET

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.

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.

1. Answer :

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.

2. Answer :

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.

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