Lesson 2 Yard Work in Segments Solidify Understanding

Ready

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

1.

$6$ , $12$ , $10$ , $8$

2.

$2$ , $7$ , $12$

3.

$- 13$ , $21$

4.

$3$ , $- 9$ , $15$

5.

$43$ , $52$

6.

$38$ , $64$ , $100$

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

7.

$5$ , $13$

8.

$26$ , $42$

9.

$57$ , $77$

10.

$- 34$ , $- 22$

11.

$- 45$ , $3$

12.

$- 12$ , $18$

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.

13.

14.

15.

16.

17.

A line segment between $(2, 3)$ and $(10, 15)$ .

18.

A line segment between $(- 2, 7)$ and $(3, - 8)$ .

19.

If a line is drawn parallel to $\overset{―}{B C}$ and through point $A$ , at what coordinate will the intersection of this parallel line be with $\overset{―}{D C}$ ?

20.

If a line is drawn parallel to $\overset{―}{B D}$ and through point $E$ , at what coordinate will the intersection of this parallel line be with $\overset{―}{D C}$ ?

21.

If a line is drawn parallel to $\overset{―}{B C}$ and through point $F$ , at what coordinate will the intersection of this parallel line be with $\overset{―}{D C}$ ?

22.

If a line is drawn parallel to $\overset{―}{B D}$ and through point $G$ , at what coordinate will the intersection of this parallel line be with $\overset{―}{B C}$ ?

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

Solve each proportion.

25.

$\frac{5}{8} = \frac{x}{12}$

26.

$\frac{8}{y} = \frac{4}{3}$