Download Midterm Review Part 3

Geometry
Chapter 4 Midterm Review
Name__________________________________
1.) __________ A triangle whose two acute angles are complementary.
A. Hypotenuse
B. Legs
C. Base
D. Base Angles
E. Vertex Angle
F. Right Angle
G. Equilateral
2.) __________ A triangle that has all equal sides.
3.) __________ The name of the two congruent sides of an isosceles triangle.
4.) __________ A triangle that has sides that are all different lengths
Triangle
H. Interior Angle
I. Scalene Triangle
J. Right Triangle
K. Obtuse Triangle
5.) __________ The name of the longest side of a right triangle.
6.) __________ A triangle with angle measures of 30, 30 and 120.
7.) __________ The name of the two angles in an isosceles triangle that are congruent.
Classify each triangle according to its sides. (Scalene, Isosceles, Equilateral)
8.)
9.)
10.)
6 in.
6 in.
5 in.
6 in.
4 in.
6 in.
___________________
______________________
______________________
Classify each triangle according to its angles. (Acute, Right, Obtuse)
NOTE: (Diagrams not drawn to scale)
11.)
12.)
13.)
45
45
45
44
44
55
___________________
______________________
____________________
Decide if the triangles shown are congruent. If they are, write the test used to prove their
congruence (Either SSS, SAS, ASA or AAS). If they are not congruent, write “Not Congruent.”
14.)
15.)
16.)
17.)
18.)
19.)
20.)
In the diagram m2 + m3 = 124, Find m1.
1
2
1
21.)
3
In the diagram, mA = 4x + 11, mB = 5x and mBCD = 10x. Find mBCA.
B
A
C
D
Find the value of x.
22.)
23.)
58°
47°
21°
x°
x°
34°
24.)
25.)
x°
31°
24°
3x -1°
Find the value of x in each diagram
26.)
27.)
41°
23°
x - 45°
3x - 2°
3x + 5°
4x + 7°
28.)
32°
68°
4x - 7°
29.)
24°
135°
3x°
30.)
YAK has the following vertices:
a.) Find the lengths of all 3 sides.
Y(–1, –2) , A(1, 8) and K(8, 3).
YA = ___________
AK = ___________
YK = ___________
b.) Classify the triangle according to its sides.
________________________
31.)
An equilateral triangle has a perimeter of 108. One of the side lengths is x² – 5x.
Find the value(s) of x that work in this problem.
32.)
Find the value of the indicated angles.
e
a
b 147°
36°
c
d
f
140°
34°
82°
a = __________
b = ____________ c = ___________
e = ___________
f = ___________
d = _____________