# Common Core: High School - Geometry : Points that Partitions Segments in a Given Ratio: CCSS.Math.Content.HSG-GPE.B.6

## Example Questions

### Example Question #1 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of (10, 12) and (-4, -13).

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for .

Now we simply substitute values for

To verify the result, plot the points on a graph.

### Example Question #2 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of (10, 12) and (-4, -13).

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for .

Now we simply substitute values for

To verify the result, plot the points on a graph.

### Example Question #3 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for .

Now we simply substitute values for

Plot the end points and the midpoint to verify the result.

### Example Question #4 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for

Now we simply substitute values for ,

Plot the points to verify the result.

### Example Question #5 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for

Now we simply substitute values for

Plot the points to verify the result.

### Example Question #1 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for .

Now we simply substitute values for

Now, plot the points to verify the results.

### Example Question #7 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for

Now we simply substitute values for

Now, plot the points to verify the results.

### Example Question #8 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for .

Now we simply substitute values for

To verify the result, plot the points on a graph.

### Example Question #9 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .

Explanation:

In order to find the midpoint between these end points, we need to recall the midpoint formula.

Where  is the mid point for  and  is the midpoint for

Now we simply substitute values for

Now plot the points to verify the results.

### Example Question #2 : Points That Partitions Segments In A Given Ratio: Ccss.Math.Content.Hsg Gpe.B.6

Find the midpoint of a line segment with endpoints of  and .