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Transcript
Name: ______________________________Date:_________________________
Geometry: 3.1-3.3 Quiz Review Sheet
Identify all the numbered angles that are congruent to the given angle. Justify your
answers.
12.
14.
13.
15.
Find m1 and m2. Justify each answer. Name the kind of angles formed.
16.
17.
18.
19.
20. Write a two-column proof.
Given: a ║ b, x ║ y
Prove: 4 is supplementary to 15.
Statements
Reasons
21. Error Analysis
Which solution for the figure at the right is incorrect? Explain.
2x  40 = x + 10
x  40 = 10
x = 50
2x  40 + (x + 10) = 180
3x  30 = 180
3x = 210
x = 70
Determine the value of x that will make r ǁ s. Then find the measure of each angle.
22.
23.
24.
Developing Proof Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
25. 11 is supplementary to 10.
26. 6  9
27. 13 is supplementary to 14.
28. 13  15
29. 12 is supplementary to 3.
30. 2  1
3.1-3.3 Quiz Review
Proof Practice
31.
Statements
1.
2. m<5 + m<2 =180°
3. <5 and <2 are supplementary angles
4. aǁb
Reasons
1. Given
2. Substitution
3.
4.
32.
Statements
1. aǁb
2. < 1 ≅< 2
3. 𝑚 < 2 + 𝑚 < 3 = 180°
4. 𝑚 < 1 + 𝑚 < 3 = 180°
5. <1 and <3 are supplementary
Reasons
1.
2.
3.
4.
5.