8.1 – 8.4 Review
1. What is the perimeter of this trapezoid in simplest radical form?
2. What are the lengths of the diagonals of rhombus ABCD?
15
3. Classify the following triangle.
4. Let EFGH be a rectangle with side lengths 24 and 7. Let EF be a longer side. Draw diagonal EG .
a) Find the following trigonometric ratios.
sin HGE 
cos HGE 
tan HGE 
b) Find the measures of the two acute angles formed by the diagonal.
5. Find the values of the variables and the perimeter of the triangle in simplest radical form.
30˚
w
y
45˚
z
x
6. Find the values of the variables.
7. Find all the missing sides in the diagram.
D
2x
C
b
c
E
B
31°
60
a
x
6
A
55°
F
22
8. For each triangle, match the set of side lengths with its possible set of angle measures.
i) 13, 5, 12
______
a) 29, 36, 115
ii) 5, 7, 11
______
b) 33, 57, 90
iii) 12, 9, 8
______
c) 51, 57, 72
9. Explain why the figure is impossible.
A
D
4
3
C
3
E
12
B