Test
Name ________________________
1. Re-write the following statement into an "if, then conditional statement". Two
adjacent angles are supplementary when their sum equals 180 degrees.
_____________________________________________________________________
_____________________________________________________________________
2. Write the converse, inverse and contra-positive of the above statement.
Converse _______________________________________________________________
_______________________________________________________________
Inverse _________________________________________________________________
_________________________________________________________________
Contra-Positive __________________________________________________________
_________________________________________________________________
3. Solve for the variable "w" to four decimal places of the right triangle below.
w
51
73
4. Solve for the variable "h" with an exact answer of the right triangle below. (no decimals)
h
27
15
5.
A construction crew is making a new sidewalk for a rectangular park. The park's length
is 522 feet and its width is 276 feet to the nearest foot. What will be the approximate
length of a diagonal sidewalk? Draw and label your solution below.
6. Solve the following by using the special right triangle properties.
x
y
30
6√3
x = _______ y = ________
4
p
60
j
j = ______ p = ______
w
12
45
𝑟
w = ______ r = ______
7. The polygons below are similar. Solve for x and state the scale factor from A to B.
55
2x – 3
A
B
3
33
8. Below is a net of a rectangular prism. The ABC box company needs the following
information before they order 6,000 boxes. What is the total surface area and the
volume of the prism?
6 cm
22 cm
6 cm
6 cm
22 cm
28 cm
6 cm
9. The measure of angle JOY is 80º.
Solve for y = _______ and find the measure of angle AOY _______
J
4y + 5
O
A
y + 10
Y
10. Calculate the distance between the points ( -2, 10 ) and ( 4, - 8 ).
11. Write the equation of a line which is perpendicular to f(x) = - 2x + 7 and contains the
.
point ( - 2, - 9 )
12. DE is the mid-segment of triangle ABC. Find the length AB = _______
C
D
A
x + 17
3x + 14
E
B