**Finding distance on the coordinate plane worksheet :**

Worksheet on finding distance on the coordinate plane is much useful to the students who would like to practice problems on distance between the two points on the coordinate plane.

1. What is the distance between point A(4, 3) and point B(4, -2) ?

2. What is the distance between point C(-1, -4) and point D(-5, -4) ?

3. Find the distance between the points A and B in the given graph given below.

**Problem 1 :**

What is the distance between point A(4, 3) and point B(4, -2) ?

**Solution :**

**Step 1 :**

Find the distance between point A and the x-axis.

The y-coordinate of A is 3, so point A is |3| = 3 units from the x-axis.

**Step 2 :**

Find the distance between point B and the x-axis.

The y-coordinate of B is −2, so point B is |−2| = 2 units from the x-axis.

**Step 3 :**

Find the sum of the distances.

**Distance from A to B is **

**= |3| + |−2| = 3 + 2 = 5 units.**

The steps explained above have been illustrated in the graph given below.

**Problem 2 :**

What is the distance between point C(-1, -4) and point D(-5, -4) ?

**Solution :**

**Step 1 :**

Find the distance between point C and the y-axis.

The x-coordinate of C is -1, so point C is |-1| = 1 unit from the y-axis.

**Step 2 :**

Find the distance between point D and the y-axis.

The x-coordinate of D is −5, so point B is |−5| = 5 units from the y-axis.

**Step 3 :**

Find the distance between C and D by finding this difference :

Distance of D from the y-axis − distance of C from the y-axis

**|-5| - |-1| = 5 - 1 = 4 units.**

The steps explained above have been illustrated in the graph given below.

**Problem 3 :**

Find the distance between the points A and B in the given graph given below.

**Solution :**

From the graph, the ordered pair of A is (-3, -2) and B is (3, -2) respectively.

**Step 1 :**

Find the distance between point A and the y-axis.

The x-coordinate of A is -3, so point A is |-3| = 3 units from the y-axis.

**Step 2 :**

Find the distance between point B and the y-axis.

The x-coordinate of B is 3, so point B is |3| = 3 units from the y-axis.

**Step 3 :**

Find the sum of the distances.

**Distance from A to B is**

**= |-3| + |3| = 3 + 3 = 6 units.**

**The steps explained above have been illustrated in the graph given below.**

After having gone through the stuff given above, we hope that the students would have understood "Finding distance on the coordinate plane worksheet".

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