Download Unit 1 Review - Ector County ISD.

Name:______________________________ Period:_______ Date:__________________
Unit 1 Review
I.
Terminology: Match the following terms with their definitions.
1.
Euclidean Geometry
2.
Undefined Term
3.
Point
4.
Line
5.
Plane
6.
Defined Term
7.
Parallel Lines
8.
Perpendicular Lines
9.
Skew Lines
10. Line Segment
11. Ray
12. Proof
13. Theorem
14. Conjecture
15. Inductive Reasoning
16. Deductive Reasoning
17. Conditional Statement
18. Direct Reasoning
19. Converse Statement
20. Inverse Statement
21. Contrapositive Statement
22. Biconditional Statement
23. Corollary
24. Counterexample
25. Definition
26. Postulate
a.
A theorem whose proof follows directly from another
theorem.
b. An example that proves that a conjecture or statement is
false.
c. A statement that describes a mathematical object and can be
written as a true biconditional statement.
d. The statement formed by negating the hypothesis and
conclusion of a conditional statement.
e. The statement formed by both exchanging and negating the
hypothesis and conclusion of a conditional statement.
f. A statement that can be written in the form “p if and only if
q.”
g. A statement that can be written the form “if p, then q”,
where p is the hypothesis and q is the conclusion.
h. The process of reasoning that begins with a true hypothesis
and builds a logical argument to show that a conclusion is
true.
i. The statement formed by exchanging the hypothesis and
conclusion of a conditional statement.
j. An undefined term in Geometry, it is a straight path that has
no thickness and extends forever.
k. A statement that is believed to be true.
l. The process of reasoning that a rule or statement is true
because specific cases are true.
m. The process of using logic to draw conclusions.
n. Lines that are not coplanar.
o. A figure that is defined in terms of undefined terms and
other figures.
p. A statement that is accepted as true without proof. Also
called an axiom.
q. An argument that uses logic to show that a conclusion is
true.
r. A statement that has been proven.
s. Lines that intersect at 90 angles.
t. An undefined term Geometry, it names a location and has
no size.
u. Lines in the same plane that do not intersect.
v. An undefined term in Geometry, it is a flat surface that has
no thickness and extends forever.
w. The system of geometry described by Euclid.
x. A basic figure that is not defined in terms of other figures.
The figures are point, line, and plane.
y. A part of a line consisting of two end points and all points
between them.
z. A part of a line that starts at an endpoint and extends
forever in one direction.
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II.
Segment Length:
Distance Formula:
Midpoint Formula:
𝑥1 + 𝑥2
(
,
2
𝑑 = √(𝑥1 − 𝑥2 )2 + (𝑦1 − 𝑦2 )2
Calculate the distance and midpoint between following sets of points.
1. A(5, 8) and B(-3, 6)
2. C(5, -9) and D(-11, 7)
3. G(4, 7) and H(-1, -5)
4. K(-2, -5) and L(5, 8)
Calculate the indicated length:
5. Find NQ.
6. Find ST.
Use the number line to find the indicated distance.
7. LM
8. JL
9. JM
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𝑦1 + 𝑦2
)
2
III.
Angle Measures: Use the following diagram:
1. supplement of AEB
2. complement of AEB
3. x  _________________________
4. y  ________________________
5. mDEC  
6. mAED  _________________
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IV.
Conditionals: Rewrite the following conditional statements into the converse,
inverse and contrapositive forms. Them determine the validity of each statement.
If it is false, provide a counterexample.
1. If two angles are adjacent, then they share a common side.
Statement:
Validity:
Converse:
Inverse:
Contropositive:
2. If two angles are vertical, then they are congruent.
Statement:
Validity:
Converse:
Inverse:
Contropositive:
V.
Other: Review your Cornell Notes on Notetaking
Review answers will be posted online at:
http://www.ectorcountyisd.org/site/default.aspx?PageID=33925
or scan the following QR code:
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