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Final Review Finally
Here is a set of practice problems to prepare you for the final exam for Geometry High School
credit. The score on this test is 25% of the grade that you will take to high school. The test is
broken up into calculator and non-calculator sections. You will be able to use the calculators in
my classroom and the PARCC reference sheet for the final. Be careful to not use a calculator if
you are not required. You will also be allowed to graph on a separate sheet of paper during the
final.
If you want to know the lowest score you can receive, enter your quarter grades (as decimals)
and desired grade into the formula below:
Note: If the number is greater than 1, you cannot receive your desired grade even if you score a
perfect on the final.
PARCC practice test is also a great resource for practice: http://parcc.pearson.com/practicetests/math/
Non-Calculator Section Practice Problems
1. Find the missing sides of these triangles.
2. Identify the axis of symmetry for the following figure.
3. What is the measure of the minor arc AB in radians?
4. The equation
describes a circle. Determine the coordinate of the
center of the circle. If the radius is 10, what is the value of b?
5. What is the midpoint of a line segment with endpoints at coordinates (3, 5) and (-1, -7)?
6. A rectangle will be rotated 360° about a line which contains the intersection of the
diagonals and is parallel to one of the sides. What three-dimensional shape will be
created as a result of the rotation?
7. Find the measure of the arc starting at point A and rotation counter-clockwise in
degrees.
A
Calculator Section Practice Problems
1. Determine the measures of all the angles in this diagram given angle XOP = 125 degrees.
2. Given triangle ABC and the following list of information, find the measure of angle ACZ.
a. Point Z is located on line AB
b. Measure of angle A is 60 degrees.
c. Measure of angle B is 20 degrees.
d. Line CZ is perpendicular to line AB
3. Let
and
, what does
equal in terms of x and y?
4. The triangle will be rotated 180° clockwise about the point (-2,5) to create triangle
A'B'C'. What are the coordinates of the points A', B', and C'? Does the perimeter and
area change under this transformation?
5. The equation
defines a circle in the xy-coordinate plane.
What is the center of the circle?
6. Given a pyramid with a height of 13 meters and a rectangular base w meters wide by l
meters long and a pyramid with the same base and a height of 1 meter. What is the
difference in the volumes in terms of the base areas?
7. Find the height of the tree in this diagram.
8. Triangle ABC has vertices at A(2,4), B(5,1) and C(3,2) in the coordinate plane. The
triangle will be reflected over the x-axis and then rotated 180° about the origin to form
Triangle A'B'C'. What are the coordinates of A', B' and C'?
9. What is the surface area of a cylindrical can that has a height of 40 cm and a diameter
14 cm?
10. If the circle in this picture is 10 in. in diameter, what is the area of the square with
vertices on the circle?
11. If point A is located at (1,-2) and is reflected about y = 1 to form A’, what quadrant
contains A’ and what are the coordinates of A’?
12. Find x.
13. Find the length AB.
14. If
and
and OB = 25, find angle ACB and BC.
15. Describe the steps to constructing a perpendicular bisector.
16. If x = 13, what is the measure of angle A?
17. Find the coordinates of triangle A’B’C’ after triangle ABC is transformed by a dialation
with a scale factor of 2 about the point A. Why is line CB parallel to line C’B’?
18. What angles are congruent and why?
19.
Find the area and perimeter of the figure below.
20. Describe how to copy an angle with a compass and straight-edge.