Title: COMPLETE: Guided Practice
Course: Geometry (A)

Complete the following questions. The answers are listed below for you to check yourself.

Review Questions

are midpoints of sides of triangles and .

Complete the following:

1. If , then ___ and ___.
2. If , then ____.
3. If and , then ___and ___.
4. If and , then _____.
5. Consider triangle with vertices and midpoint on .
  1. Find the coordinates of point .
  2. Use the Midsegment Theorem to find the coordinates of the point on side that makes the midsegment.
6. For problem 5, describe another way to find the coordinates of point that does not use the Midsegment Theorem.

In problems 7-8, the segments join the midpoints of two sides of the triangle. Find the values of and for each problem.

3. In triangle , sides , and have lengths and respectively. Triangle is formed by joining the midpoints of . Find the perimeter of .
  1. For the original triangle of 9, find its perimeter and compare to the perimeter of .
  2. Can you state a relationship between a triangle’s perimeter and the perimeter of the triangle formed by connecting its midsegments?

Review Answers

1. and
6. Find midpoint and then the slope of . Find the line through parallel to (line ). Find the equation of the line that includes (line ). Find the intersection of lines and .
7. ,
8. ,
  1. The perimeter of is The perimeter of is
  2. The perimeter of the midsegment triangle will always be half the perimeter of the original triangle.