# Lesson 6Yard Work in SegmentsSolidify Understanding

For each set of numbers, find the mean (average). Explain how the mean of the set compares to the values in the set.

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### 6.

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Find the value that is exactly halfway between the two given values. Show your work.

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## Set

Find the coordinates of the midpoint of each line segment provided. If multiple line segments are given, then give the midpoints of all segments.

### 17.

A line segment between and .

### 18.

A line segment between and .

### 19.

If a line is drawn parallel to and through point , at what coordinate will the intersection of this parallel line be with ?

### 20.

If a line is drawn parallel to and through point , at what coordinate will the intersection of this parallel line be with ?

### 21.

If a line is drawn parallel to and through point , at what coordinate will the intersection of this parallel line be with ?

### 22.

If a line is drawn parallel to and through point , at what coordinate will the intersection of this parallel line be with ?

### 23.

When a line is drawn parallel to one side of a triangle so that it intersects the other two sides of the triangle, how do the measures of the parts of the two intersected sides compare? Explain.

### 24.

In problems 19–22, you were given right triangles. Could a determination of the coordinates be made if they were not right triangles? Why or why not?

## Go

Write a proportion for each of the diagrams below and solve for the missing value.