For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, thenb = a. A. Addition Property of Equality %3D 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b+ c. E. Reflexive Property of Equality F. Symmetric Property of Equality 6. a(b + c) = ab + ac 7. If a = band b = c, then a = c. %3D G. Transitive Property of Equality 8. If LP LQ, then LQ= LP. H. Substitution Property of Equality 9. If LA LB and LB = LC, then LA LC. I. Distributive Property J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = b and c + 0, then =. 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b - . !! 13 Cali megsures hor toxthe

For Exercises 1-12, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 1. If a = b, thenb = a. A. Addition Property of Equality %3D 2. If a = b, then ac = bc. B. Subtraction Property of Equality 3. AB = AB C. Multiplication Property of Equality 4. a = a D. Division Property of Equality 5. If a = b, then a +c = b+ c. E. Reflexive Property of Equality F. Symmetric Property of Equality 6. a(b + c) = ab + ac 7. If a = band b = c, then a = c. %3D G. Transitive Property of Equality 8. If LP LQ, then LQ= LP. H. Substitution Property of Equality 9. If LA LB and LB = LC, then LA LC. I. Distributive Property J. Reflexive Property of Congruence K. Symmetric Property of Congruence 10. If a = b and c + 0, then =. 11. If a = b, then b can be substituted for a in any expression. L. Transitive Property of Congruence 12. If a = b, then a - c = b - . !! 13 Cali megsures hor toxthe

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

For Exercises 1-12, write the letter of each property next to its definition.
The letters a, b, and c represent real numbers.
1. If a = b, then b = a.
F
A. Addition Property of Equality
2. If a = b, then ac = bc.
B. Subtraction Property of Equality
3. AB = AB
C. Multiplication Property of Equality
4. a = a
D. Division Property of Equality
5. If a = b, then a +c = b + c.
E. Reflexive Property of Equality
6. a(b + c) = ab + ac
F. Symmetric Property of Equality
7. If a = band b = c, then a = c.
G. Transitive Property of Equality
8. If LP = LQ, then
LQ= LP.
H. Substitution Property of Equality
I. Distributive Property
9. If LA = LB and LB = LC,
then LA = LC.
J. Reflexive Property of Congruence
K. Symmetric Property of
Congruence
10. If a = band c + 0, then =
11. If a = b, then b can be substituted for a
in any expression.
L. Transitive Property of Congruence
12. If a = b, then a - c = b-c.
13. Cali measures her textbook and finds that it is 8 inches wide. She wants to know
how many centimeters wide her textbook is. The formula to convert inches to
centimeters is 2.54i = c, where i is the length in inches and c is the length in
centimeters. Fill in the blanks to find the answer. The justifications will guide you.
2.54i = c
Given equation
2.54(
) = c
Substitution Property of Equality
Simplify.
Summetric Pronerty of Eauality
acer
@
%23
$
&
2
3
4
7
9
e
r
y
d
k
C
n
m

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