Name the property of equality or congruence that justifies each statement. 17. If mz1 = m22, then mz1 + m23 = m22 + m23. 18. If 21 = Z5, then 45 = 21. If x = y and y = z, then x = z. 20. If x + y = 7 and y = z, then x + z = 7.

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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´Name the property of equality or congruence that justifies each statement.
17. If mz1 = m22, then mz1 + m23 = m22 + m23.
18. If 21 = Z5, then 25 = 21.
If x = y and y = z, then x = z.
20. If x + y = 7 and y = z, then x + z = 7.
21. If 4 = 5 then n= 30.
22. If 2· mLA = 2 · m<B, then mLA = mLB.
23. SC = SC
24. If x+ 5 =28, then x = 23.
Use the property to complete the statement.
25. Addition Property of Equality
If m2J = 30°, then m2J + mZK =
26. Substitution Property of Equality:
If x + y = 50 and a + b = 50, then
27. Distributive Property:
If3(x + 7) = 30, then
28. Transitive Property of Equality:
If 3x + y = 7 and 7 = 5x - 2y, then
= 30.
Transcribed Image Text:´Name the property of equality or congruence that justifies each statement. 17. If mz1 = m22, then mz1 + m23 = m22 + m23. 18. If 21 = Z5, then 25 = 21. If x = y and y = z, then x = z. 20. If x + y = 7 and y = z, then x + z = 7. 21. If 4 = 5 then n= 30. 22. If 2· mLA = 2 · m<B, then mLA = mLB. 23. SC = SC 24. If x+ 5 =28, then x = 23. Use the property to complete the statement. 25. Addition Property of Equality If m2J = 30°, then m2J + mZK = 26. Substitution Property of Equality: If x + y = 50 and a + b = 50, then 27. Distributive Property: If3(x + 7) = 30, then 28. Transitive Property of Equality: If 3x + y = 7 and 7 = 5x - 2y, then = 30.
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