**Graphing reflections worksheet :**

Worksheet given in this section is much useful to the students who would like to practice problems on graphing reflections.

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.

**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".

Apart from the stuff given above, if you want to know more about "Graphing reflections", please click here

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