Section 2.6 and Review
Name________________________________
Name the property of equality that justifies each statement:
1) If 3x = 120, then x = 40.
2) If 12 = AB, then AB = 12.
3) If AB = BC and BC = CD, then AB = CD.
4) If y = 75 and y = m∠A, then m∠A = 75.
Prove the following.
5) If 2a + 3 = -11 then a = -7.
6) If 2(x – 3) = 8, then x = 7.
Statements
7) If
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Reasons
Statements
= 6, then d = 3.
Statements
Reasons
8) ∠1 and ∠2 are right angles. If ∠1 ≅ ∠3 and ∠2 ≅ ∠4, explain why ∠3 ≅ ∠4.
Reasons
For the following true or false questions 1- 7, use the diagram below.
__________ 9.
If two angles are congruent, then their measures are equal.
__________ 10.
If two angles are congruent, then they are adjacent angles.
__________ 11.
If ,∠- = ,∠/ then ∠- ≅ ∠/.
__________ 12.
∠1 ≅ ∠2.
__________ 13.
∠1 is adjacent to ∠3.
__________ 14.
∠2-1 is adjacent to ∠2-4.
__________ 15.
∠1 + ∠2 + ∠3 is a complementary angle.
Given 777778
-6 bisects ∠/-9, answer the following questions. Hint: draw a picture.
16.
,∠6-9 = 24: ,
Find: ,∠/-6 = __________
,∠/-9 = ____________
17.,∠/-9 = 105: ,
Find: ,∠/-6 = __________
,∠6-9 = ____________
18.
,∠6-9 = (2@ + 35): ,∠/-6 = (5@ − 22)C ,
Find: @ = ___________, ∠/-9 = ____________
19. ,∠6-9 = (2@ + 7): , ,∠/-6 = (4@ − 9)C
Find: @ = ____________, ,∠/-9 = ____________
Find the values of the variables.
20.
@ = __________, F = __________
21.
@ = __________, F = __________