Name: ________________________
Date: __________ Period: ________
Geometry – EOC Review
Chapters 1 and 2
Chapter 1 Concepts:
Terms
 Collinear
 Coplanar
 Angles: Acute, Obtuse, Right
Distance Formula
Angles with Special Names:
 Adjacent angles
 Vertical angles
 Complementary angles
 Supplementary angles
 Linear pair
Square
Side length s
P = 4s
Constructions:
 Congruent segments
 Congruent angles
 Bisector of segments
 Bisector of angle
The distance between two points A(x1, y1 )
and B(x 2, y 2 ) is d = (x 2 - x1 ) 2 + (y 2 - y1 ) 2
A = s2
Triangle
P = a+b+c
1
A = bh
2
Rectangle
P = 2b + 2h = 2(b + h)
A = bh
Midpoint Formula
Circle
Given AB where A(x1, y1 ) and B(x 2, y 2 ) the
coordinates of the midpoint of AB are
x +x y +y
M( 1 2 , 1 2 ).
2
2
C = pd
C = 2pr
A = pr 2
1. Use the picture to the right to answer the following question.
What is the intersection of plane AED and BAF?
2. Use the picture below to answer the following question.
⃗⃗⃗⃗⃗ and ⃗⃗⃗⃗⃗
Are 𝑅𝑄
𝑆𝑄 opposite rays? Explain.
3.
Use the diagram to the right.
U is the midpoint of ̅̅̅̅
𝑇𝑉. What is UV?
4.
Use the diagram to the right.
In the diagram, JL = 120. What are JK and KL?
5. Use the diagram to the right.
What is m∠CEF?
6. Use the diagram to the right. Find x.
7. S(-2, 14) and R(3, -1). Find SR.
8. Find the midpoint between A(1, 2) and B(17, 4).
9. Calculate the area of a right triangle with legs that are 6 inches and 8 inches long.
10. Calculate the area of a circle with radius 5 cm.
Chapter 2 Concepts:
Converse - If q, then p.
Terms
 Inductive Reasoning
 Counterexample
 Deductive Reasoning
Inverse -If not p, then not q.
Conditional - If p, then q. The hypothesis is
p and the conclusion is q.
Contrapositive - If not q, then not p.
Biconditional - combines a true conditional
and its true converse. p if and only if q.
Properties of Algebra
1. Identify the hypothesis and conclusion in the following conditional.
If the sidewalks are wet, then it has been raining.
2.
Fill in the blanks to accurately complete this pattern:
1, 4, 7, ____, 13, 16, ____
What type of reasoning were you using to complete this pattern?
3.
Given: 3(x – 1) = 6
Prove: x = 3
What type of reasoning did you use to complete this proof?
4. Write the converse, inverse and contrapositive for the following conditional and provide the
truth value for each. If false, provide a counterexample.
If you play the tuba, then you play an instrument.
Converse:
Inverse:
Contrapositive:
5.
Write the converse for the following statement. If the converse is true, write an appropriate
biconditional.
If you have a temperature above 98.6∘ 𝐹 then you have a fever.