Use the diagrams at the right to find the indicated length.
1. AD = 16, DB = 12, DC =
B
?
2. AB = 20, AD = 16, AC =
?
3. A£> = 16, DC = 2,BC = _ ?_
4. DC = 4, £C = 6, AC = _ ?
5. AD = 25, DB = 10, DC =
6. AD = 4,DC = l,DB =
In Exercises 7-9, use the diagram of the squat machine
where ZV = 36 in. and ZW = 24 in.
7. Find the length of the vertical support bar, XY.
8. Find the length of the base bar, WX.
9. Find the length of the cross bar, XZ.
•
In Exercises 10-14, use the given information.
Given: AABC is a right triangle with m/LC = 90°,
DC 1 AB, JD bisects /.ADC, ED bisects LBDC
10. Which angles are congruent?
11. Which triangles are similar?
12. True or Falsel
AD
CD
AC
BC
13. Is DF an altitude of AADC?
CB
Write a two-column proof or a paragraph proof.
15. Given: AA5C with altitude W,
Prove:
16. Given: AJKL with altitude ~KM,
mLABC = 90°,
mLLKJ = 90°,
AC = 6, DC = 4
KM = 3, KJ = 5
= 2V6
rr
25
4
Prove: •/£ - —
M
B
CF_
CA
14. Trwe or Falsel -- = —
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bOW
0(9
b
r
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