Download ANSWERS 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: _r_
21. Substitution Property of Equality: _ee_
2. Angle Bisector: _kk_
22. Reflexive Property of Equality: _w_
3. Congruent Segments: _j_
23. Symmetric Property of Equality: _i_
4. Congruent Angles: _c_
24. Transitive Property of Equality: _d_
5. Perpendicular Lines: _jj_
25. Postulate 2: Segment Addition Postulate: _oo_
6. Supplementary Angles: _mm_
26. Postulate 4: Angle Addition Postulate: _t_
7. Complementary Angles: _z_
27. Postulate 5: _cc_
8. Linear Pair: _g_
28. Postulate 6: _u_
9. Segment Bisector: _l_
29. Postulate 7: _dd_
10. Reflexive Property of Segment Congruence: _q_
30. Postulate 8: _y_
11. Symmetric Property of Segment Congruence: _hh_
31. Postulate 9: _ll_
12. Transitive Property of Segment Congruence: _gg_
32. Postulate 10: _ff_
13. Reflexive Property of Angle Congruence: _f_
33. Postulate 11: _o_
14. Symmetric Property of Angle Congruence: _b_
34. When the information is already provided: _h_
15. Transitive Property of Angle Congruence: _v_
35. When you combine like terms: _p_
16. Addition Property of Equality: _s_
36. Right Angles Congruence Theorem (Thm2.3): _aa_
17. Subtraction Property of Equality: _bb_
37. Congruent Supplements Theorem (Thm2.4): _ii_
18. Multiplication Property of Equality: _a_
38. Congruent Complements Theorem (Thm2.5): _x_
19. Division Property of Equality: _k_
39: Postulate 12: Linear Pair Postulate: _e_
20. Distributive Property of Equality: _n_
40: Vertical Angles Congruence Theorem(Thm2.6): _m_
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.)