6.4 Practice A
А
У ЈЕ
B
In Exercises 1-5, use the graph of AABC.
1. In AABC, show that the midsegment ED is
parallel to BC and that ED =
- {BC
2. Find the coordinates of the endpoints of
midsegment EF, which is opposite AC.
3. Show that EF is parallel to AC and that EF = - {AC.
4. State the coordinates of the endpoints of midsegment DF.
5. Show that DF is parallel to AB and DF = ŽAB.
In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides.
6. When AB = 16, what is QS?
Q
A
7. When SR = 68, what is CA?
8. When SR = 46, what is BR?
9. When CA = 3.x - 1 and SR = 5x + 4, what is CA?
10. When QS = 6x and CS = 5x - 8, what is AB?
11. When QR = 5x + 2 and CB = 2x + 5, what is AR?
12. Your friend claims that because each midsegment is half as long as
the corresponding side of the triangle, the perimeter of the midsegment
triangle is half the perimeter of the original triangle. Is your friend correct?
Explain your reasoning.
13. A building has the shape of a pyramid with a square base. The midsegment
parallel to the ground of each triangular face of the pyramid has a length of
58 feet. Find the length of the base the pyramid.
-58 ft
210 Geometry
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