Download Unit 5 Review

GEOMETRY
Name: _________________________________
Unit 5 Review
Date: _______________ Period:____________
Answer the following.
1. The measures of two angles in a triangle are 47° and 76°. What is the measure of the third angle?

Is the above triangle scalene, isosceles, or equilateral?

Is the above triangle acute, right, or obtuse?
2. Write
3. Given
4. Draw an isosceles triangle and label the vertex angle, base angles, legs, base and include the
congruent markings.
5.
Can the following segment lengths represent sides of a triangle?
a) 3, 4, 5
6.
b) 1, 4, 9
c) 5, 8, 13
d) 3, 3, 3
Two triangle side lengths are given. What lengths does the third side need to be between in
order for the three lengths to be sides of a triangle?
a) 4 and 7
b) 10 and 16
c) 5 and 12
1
7.
a) Draw ABC with altitude BX.
b) Draw GHL with median LP.
8.
Name the sides in order from least to greatest.
A
53
38
C
9.
B
Name the angles in order from greatest to least.
C
8
5
B
11
A
10. ΔABC
11. XYZ
12. State whether each indicated segment is a median, altitude, angle bisector, or perpendicular
bisector or any combination of each.
B
a)
b)
D
A
____________________
E
C
AD is a(n) ___________________
BE is a(n) ____________________
2
c)
d)
X
E
y
Z
D
XY is a(n) ___________________
ED is a(n) ___________________
____________________
13. If the angles of  ABC have the following measures: m  A = 3x + 2, m  B = 5x – 3, m  C = 6x – 1,
list the sides of  ABC from Longest to Shortest.
For problems 14 – 25, find the values of the given variables in each of the figures below.
14]
15]
16]
108
x
53
142
33
x
40
x
x
30
3
17]
18]
26
19
19]
x x x
105
x
42
73
20]
x
44
21]
22]
2y
x
8x+4
6y
5x-32
72°
23]
7x-8
24]
68˚
25]
32°
24°
42˚
4x+19
x
y
z
28°
110°
70°
x
x
4
26. List the four methods used to prove that triangles are congruent. Draw pictures representing
each method.
1)
2)
3)
4)
Are the two triangles congruent? If so, name the method (SSS, SAS, AAS, or ASA). If not,
write NOT  in the space provided.
27]
28]
29]
30]
31]
32]
33] Additionally, two proofs will be on the Unit 5 Test. These proofs will be taken directly from the
notes, classwork and homework. Please study those proofs to make sure that you understand how to
complete them.
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