Download Honors Geometry 4.1, 2, 3, 6 Study Guide Classify each triangle by

Honors Geometry 4.1, 2, 3, 6 Study Guide
Classify each triangle by its angles and sides. YOU MUST SPELL THESE CORRECTLY!
1)
2)
3)
90
40
60
50
50
60
4x – 3
A
6) Find x and the length of each side if
FGH is an equilateral triangle.
G
3x + 10
2x + 5
F
C
x+2
40
100
60
5) Find x and the length of each side if
ABC is an isosceles triangle with
B
AB BC .
4)
30
70
70
7) HJM is an isosceles triangle,
with HJ = JM, HJ = 3x – 2,
JM = 2x + 1, and HM = 5x – 2.
Find x and the measure of each
side.
5x – 8
H
4x + 1
Find the measures of the sides of XYZ and classify each triangle by its sides.
8) T(–3, 2), H(2, 1), S(–2, –3)
9) G(5, –3), B(3, 4), R(–1, 1)
Find the measure of each numbered angle.
10)
11)
1
64
58
58
1
12)
3
2
3
35
2
1
39
70
4
65
82
118
6
W
10
21
A
S
T
16) R≅_____
36
68
For #13-#17, THS≅ WAR. Fill in each blank.
13) TS ≅ _____
H
88
14) HS = _____
15) m W = _____
5
2
52
14
R
17) HTS ≅ _____
C
Refer to the figure at the right.
18) If AC ≅ AD , name two congruent angles.
19) If BE ≅ BC , name two congruent angles.
20) If EBA≅ EAB, name two congruent segments.
21) If CED≅ CDE, name two congruent segments.
Find the value of each variable.
22)
23)
B
D
E
A
24)
(2x – 15)
25)
(2x)
2x + 4
3x – 10
(2x + 3)
x
148
(x – 5)