Download (through chapter 2) Postulates, Theorems, Definitions, Properties

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Justifying Statements in Proofs (through Chapter 2) - Worksheet
Below are all of the postulates, theorems, definitions, properties (and a few others) that you can use as reasons in
proofs to justify the statements you make. These have all been covered this year in lessons 1.1-1.7, 2.2, 2.4-2.7.
Directions: Match the following word or phrase with its description. Each answer is used only once.
Hint: Use the glossary in the back of the textbook, the lessons, your notes, your partners, or your teacher for help!
1. Midpoint: _____
21. Substitution Property of Equality: _____
2. Angle Bisector: _____
22. Reflexive Property of Equality: _____
3. Congruent Segments: _____
23. Symmetric Property of Equality: _____
4. Congruent Angles: _____
24. Transitive Property of Equality: _____
5. Perpendicular Lines: _____
25. Postulate 2: Segment Addition Postulate: _____
6. Supplementary Angles: _____
26. Postulate 4: Angle Addition Postulate: _____
7. Complementary Angles: _____
27. Postulate 5: _____
8. Linear Pair: _____
28. Postulate 6: _____
9. Segment Bisector: _____
29. Postulate 7: _____
10. Reflexive Property of Segment Congruence: _____
30. Postulate 8: _____
11. Symmetric Property of Segment Congruence: _____
31. Postulate 9: _____
12. Transitive Property of Segment Congruence: _____
32. Postulate 10: _____
13. Reflexive Property of Angle Congruence: _____
33. Postulate 11: _____
14. Symmetric Property of Angle Congruence: _____
34. When the information is already provided: _____
15. Transitive Property of Angle Congruence: _____
35. When you combine like terms: _____
16. Addition Property of Equality: _____
36. Right Angles Congruence Theorem (Thm2.3): _____
17. Subtraction Property of Equality: _____
37. Congruent Supplements Theorem (Thm2.4): _____
18. Multiplication Property of Equality: _____
38. Congruent Complements Theorem (Thm2.5): _____
19. Division Property of Equality: _____
39: Postulate 12: Linear Pair Postulate: _____
20. Distributive Property of Equality: _____
40: Vertical Angles Congruence Theorem(Thm2.6): _____
Description:
a.) If a=b, then ac=bc.
b.)
c.) Angles that have the same measure.
d.) For any real numbers a, b, and c, if a=b and b=c, then
a=c.
e.) If two angles form a linear pair, then they are
supplementary.
f.)
g.) Two adjacent angles whose noncommon sides are
opposite rays.
h.) Given.
i.) For any real numbers a and b, if a=b, then b=a.
j.) Line segments that have the same length.
k.) If a=b, then a/c=b/c.
l.) A point, ray, line, segment, or plane that intersects a
segment at its midpoint.
m.) Vertical angles are congruent.
n.) a(b + c) = ab + ac, where a, b, and c are real numbers.
o.) If two planes intersect, then their intersection is a line.
p.) Simplify.
q.)
r.) A point that divides, or bisects, a segment into two
congruent segments.
s.) If a=b, then a + c = b + c.
t.)
u.) A line contains at least two points.
v.)
w.) For any real number a, a = a.
x.) If two angles are complementary to the same angle,
then they are congruent.
y.) Through any three noncollinear points there exists
exactly one plane.
z.) Two angles whose measures have a sum of 90
degrees.
aa.) All right angles are congruent.
bb.) If a=b, then a – c = b – c.
cc.) Through any two points there exists exactly one line.
dd.) If two lines intersect, then their intersection is
exactly one point.
ee.) If a=b, a can be substituted for b in any equation or
expression.
ff.) If two points lie on a plane, then the line containing
them lies in the plane.
gg.)
hh.)
ii.) If two angles are supplementary to the same angle,
then they are congruent.
jj.) Two lines that intersect to form right angles.
kk.) A ray that divides an angle into two angles that are
congruent.
ll.) A plane contains at least three noncollinear points.
mm.) Two angles whose measures have a sum of 180
degrees.
oo.)