Chapter 1
Find the distance between the points:
1) A(2,6) and B(5,10) 2) C(-2,-5) and D(3,-1)
Find the midpoint between each pair of points:
4) G(3,8) and H(7,2) 5) I(-3,4) and J(-7,-5)
3) E(5,0) and F(-4,-2)
6) K(0,-6) and L(9,3)
Identify and list all Point(s), Line(s), Segment(s), Ray(s) and Plane(s) as they are drawn.
E
7) 8) 9)
Determine whether the lines are parallel or perpendicular or neither. Explain why.
10) 𝑦 = 2𝑥 + 5 & 𝑦 = −2𝑥 + 5 11) 𝑦 =
3
4 𝑥 + 1 & 𝑦 =
3
4 𝑥 − 6
12) 𝑦 = −
2
3 𝑥 +
1
7
& 𝑦 =
3
2 𝑥 + 4 13) 𝑥 = 4 & 𝑦 = −3
Chapter 2
14) Determine whether inductive or deductive reasoning is being used. Determine the validity?
a) All swans are white. Mark has a pet swan. b) Alex is tall, Amy is tall, and Adam is tall. So if
Therefore it must be white. your name starts with ‘A’ you must be tall.
15) Write each statement as a propositional statement (If-Then Form).
a ) When I get a day off I am going to movies. b) Junk food makes my stomach hurt.
16 ) Give a counter example for the following conditional statement.
a) If an animal has spots, then it is a cheetah b) If an animal has stripes, then it is a tiger.
17) Solve each of the following for x & y. Then identify the property being used. a)
(𝟏𝟎𝟖)°
y ⁰
(𝟓𝒙 + 𝟖)° b) 𝒙 − 𝟏𝟎)° 𝟔𝟎°
𝒚⁰ c)
𝟐𝒙°
𝒙 °

18) Find the measure of each missing angle. An Explain how you know. 𝑚∠𝑎 = ______________ 𝟏𝟐𝟏° a 𝑚∠𝑏 = ______________ 𝑚∠𝑐 = ______________ 𝑚∠𝑑 = ______________ 𝑚∠𝑒 = ______________
c d
b e
19) Determine the measure of the missing angel in each triangle.
20) Find the missing angle and then list the side lengths from shortest to longest.
21) Using the following diagram find the measure of the exterior angle.
22) Simplify each radical and make sure to rationalize the denominator.

23) Determine the length of the hypotenuse and/or missing leg of each triangle
Chapter 4
24) Given the pre-image complete the dilation and list the new coordinates.
25) Given the figures are similar. Find the scale factor and missing side lengths.
26) Determine if the following side lengths can make a right triangle. a) 6, 8, 10 b) 2, 7, √𝟓𝟏
.

27) Given each figure solve for x or the missing side.
Chapter 5/6
28) Complete each transformation on the graph provided.
Rotate 90 ̊ CCW Slide 3 left Reflect over y=-2 Dilate by k=2
29) List the 5 types of triangle congruency and sketch a picture of each
_______________, _______________, _______________, _______________, & _______________

30) Write a two column proof for each figure. (Justify each step and annotate the figure)
31) Solve for x & y in each of the figures then plug back in to find missing measures.
32) Decide if the triangles are congruent. If they are provide the ≅ type.
33) Given the conditional statement. Write the converse, inverse, and contrapositive.
If you eat breakfast, then you will feel better at school.
Converse: ____________________________________________________________________________
Inverse:______________________________________________________________________________
Contrapositive:________________________________________________________________________

Chapter 12
34) Memorize each of the forms for a quadratic function 3 times.
Standard Form 𝑓(𝑥) = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Factored Form 𝑓(𝑥) = 𝑎(𝑥 − 𝑟
1
)(𝑥 − 𝑟
2
Vertex Form
) 𝑓(𝑥) = 𝑎(𝑥 − ℎ) 2 + 𝑘
35) Using each of the parabolas drawn below identify each of the key features listed.
(Opens up or down, Max/Min Point, Zeroes, y-intercept, Vertex, Axis of Symmetry)
(Domain, Range, Interval of Increase, Interval of Decrease)
36) Find the Vertex Point(x,y) of the function in Standard form using the formula 𝒙 =
−𝒃
𝟐𝒂
37) Determine each of the Zeroes of the function in Factored form. (Factor fully first)
38) Rewrite each of the following in interval notation.
39) Determine the vertex of each function in Vertex form.
40) Graph each of the following using at least 3 points.