Geometry
Review 5.1-5.4
Name_____________
MP is a midsegment of !LNO . Find x.
1.
2.
3.
Use the diagram of ΔXVZ where U, V, and W are the midpoints of the sides.
4. If UW = 4x − l and YZ = 5x + 4, what is UW?
5. Find YV.
6. If m !YVU = 48° and YX is an altitude of !YXZ , find m !Y .
Use the given information to find the missing values IF POSSIBLE!!
7.
8. AC ! BD
9. Are C, E, and D collinear? Why or why
not?
10. DE is an altitude
of !ADC .
!!!"
11. Can you conclude that BD bisects ∠ABC?
Explain.
!!!"
12. Can you conclude that BD bisects ∠ABC?
Explain.
13. Find x if possible.
14. Find x if possible.
15. Find x if possible.
16.
Is BD a median of the !ABC ?
An altitude? A perpendicualr bisector?
17. Is BD a median of
the !ABC ?
An altitude?
A ! bisector?
18.
Is BD a median of the !ABC ?
An altitude? A perpendicualr bisector?
19. Given the following coordiantes, find JR if JR is a median of !LJK .
20. Is JK an altitude of !LJK ?
21. Draw !ABC . Draw median AD . Draw altitude BE .
BD = 3x + y , DC = 5x + 2 , !BEA = 4x " y .
Find x and y.
Find the lengths of the missing sides of the following right triangles.
22.
leg = 21
23.
leg = ?
24. leg = 2x
leg = 72
leg = 15
leg = 5x+13
hypotenuse = ?
hypotenuse = 39
hypotenuse = 6x+8