1.
Sample Exam 4
If a rhombus has a side of 8 cm and a diagonal of 10 cm, find the area of the rhombus.
Answer
2.
Find the radius of the circle that is inscribed in an isosceles trapezoid.
10in
13in
13in
18in
Answer
3.
Find the area of the shaded region (pentagon is regular with each side of 8cm).
8 in
Answer
4.
If the area of a regular heptagon is equal to its perimeter, find the length of the apothem.
Answer
5.
Find the angle α.
7
12
330
α
Answer
6.
Find the area of the triangle shown.
10
5
13
Answer
7. Find the side a of the triangle shown.
a
9
300
4
Answer _________________
8. An airplane flying at the rate of 350 feet per second begins to climb at the angle α. After 10 seconds, it
reaches the altitude of 700ft. Find the angle α to the nearest degree.
Answer______________________
9
Complete each statement
a. The locus of points that are equidistant from a two given intersecting lines is two_______ _______
__________.
b. ___________ is the point of concurrence for the three altitudes of a triangle.
c. The locus of points in a plane that are equidistance from two fixed points P and Q is the __________
_________of the line segment PQ.
d. ___________ is the point of concurrence for the three medians of a triangle.
e. The locus of points in space that are at a distance of 3 in from a fixed point O is _____________.
10 Find cos Ө, tanӨ, and cscӨ in the triangle shown.
Ө
x
12
Answer______________________
11 State whether each equation is true or false. Explain your reasons.
a. sec a = 1 + tan2a
b. sin2a = 1 – cos2a
z
y
a
x
c. tan a · cot a = 1
d. tan a 
sin a
cos a
e. cot2a = 1 + csc2a
12 Find perimeter and area of the (white) segments.
6cm