Review Special Right Triangles
Name ____________________________________
Period _________
1.
What is the ratio of all 30-60-90 triangles?
1. _______________
2.
What is the ratio of all 45-45-90 triangles?
2. _______________
Find the missing sides for each of the following. Leave answer in simplified and rationalized.
3.
4.
5.
a
y
30
x
c
r
b
23
6.
16
45
45
12
7.
p
a
c
30
x
8.
g
h
45
26
30
17 2
9.
14 3
10.
36
45
12.
z
13.
14.
d
30
u
30
45
j
6
w
k
9 3
v
11.
45
g
17
t
15
30
f
e
15. Square
38 2
h
15. a = _________
b = _________
a
b
15
16. Rectangle
16. m = ________
n = ________
n
7
m
30°
17. At a point 500 miles north of a ship, the shoreline runs east and west. West of that
point, the navigator sights a light house at an angle of 60 . How far is the ship
from the lighthouse?
17. _________
shoreline
60
18. A point on the edge of a symmetrical canyon is 4500 ft above a river that cuts through
The canyon floor. The angle of depression from each side of the canyon to the canyon
floor is 60
18. __________
Find the length of the canyon wall (from the edge to the river).
Decide which method, SSS, SAS, ASA, AAS, or HL, can be used to
Prove the triangles are congruent.
19.
19. ________
20.
20. ________
21. “If a pair of angles are supplementary, then they are a linear pair.”
What is the converse of this statement?
21. ________
A) If a pair of angles are not supplementary, then they are not a linear pair.
B) If a pair of angles are a linear pair, then they are supplementary.
C) If a pair of angles are not a linear pair, then they are not supplementary.