Download Final Exam Review

Advanced Geometry
Final Exam Review
Name: ______________________________________
1.)
What is the next term in the sequence listed below following inductive reasoning?
-3, 7, 12, 14, 15, 17, 22, ??
2.)
What is the probability a randomly chosen segment in the figure below contains point X?
3.)
How many shaded unit squares would there be in the 100th figure?
4.)
Solve for x and y.
In Problems 5-7, identify the special point being constructed.
5.)
6.)
7.)
In Problems 8-9, use the picture to the right.
Also, use the following angles:
<1, <3. <5. and <10.
8.)
Form two valid equations (using the angles above)
knowing that m||n.
9.)
Form two valid equations (using the angles above)
knowing that p||q.
10.)
Determine the EXACT shaded area of the segment below.
11.)
What is the converse of the statement:
“If you like LeBron James, then you like the Miami Heat.”
12.)
Is the triangle with side lengths 14, 22, and 17 acute, right, or obtuse?
13.)
Determine the measure of the smallest angle in a 8-15-17 right triangle.
14.)
Determine the length of the arc (decimals are fine):
15.)
What is the area of a regular 11-gon with a side length of 20 cm?
16.)
Find the surface area of the prism
(regular polygons and rectangles.)
17.)
Provide a rule, T(x,y) = , for the transformation the reflects a figure across the x-axis, then moves it
left 2 and up 7.
18.)
Determine the equation of the perpendicular bisector of the segment with endpoints (-2, 5) and (4, 1).
19.)
The height of a skyscraper is 1500 feet. Someone at the top looks at a 2º angle of depression to see an
object on the ground. How far from the base of the skyscraper is the object?