Download Review for Test 3 KEY Linear Pair – a pair of adjacent angles whose

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Review for Test 3 KEY
Linear Pair – a pair of adjacent angles whose non-common sides are opposite rays.
Supplementary Angles – any two angles that add up to 180°.
Vertical Angles – two non-adjacent angles formed by two intersecting lines.
Alternate Interior Angles – two angles on opposite sides of a transversal between two lines.
Same-Side/Consecutive Interior Angles – two angles on the same side of a transversal between two lines.
Alternate Exterior Angles – two angles on opposite sides of a transversal outside of two lines.
Corresponding Angles – two angles on the same side of a transversal with one angle inside the two lines and one angle is outside.
Angle Addition Postulate – D is in the interior of ⦟ABC iff m⦟ABD + m⦟DBC = m⦟ABC.
Segment Addition Postulate – If A, B & C are collinear then B is between A & C iff AB + BC = AC.
Midpoint – the point of a segment exactly half way between the endpoints.
Angle Bisector – a ray that divides an angle into two congruent angles.
Perpendicular Lines – two lines that intersect to form 4 right angles.
Parallel Lines – lines in the SAME plane that NEVER intersect.
Skew Lines – Lines in DIFFERENT plans that NEVER intersect.
Transversal – a line that intersects or crosses two or more lines.
1. -1
18. j; CA
2. Infinitely Many Solutions
19. m ll n; Converse CA
3. (1, 4)
20.
21. m∥n, j∥k
⦟1≅⦟8
m⦟1 = m⦟8
m⦟8 + m⦟10 = 180°
m⦟1 + m⦟10 = 180°
Given
AEA Thm
def of ≅
SSIA or CIA Thm
Substitution
22. m∥n, m⦟6 = 60°
⦟6≅⦟7
m⦟6=m⦟7
⦟3 & ⦟7 are suppl
m⦟3 + m⦟7 = 180°
m⦟3 + 60 = 180°
m⦟3 = 120°
Given
Vertical Angles ≅
def of ≅
SSIA/CIA Thm
def of suppl
Substitution
Subtraction POE
23. ⦟1≅⦟2
⦟2≅⦟3
⦟1≅⦟3
m∥n
Given
Vertical Angles ≅
Transitive POC
Converse CA Post.
24. m∥n, ⦟16≅⦟6
⦟16≅⦟4
⦟4≅⦟6
j∥k
Given
CA Post.
Transitive POC
Converse AEA Thm
4. (2/3, -2)
5. y + 3 = 3(x – 2); y = 3x – 9; 3x – y = 9
1
1
6. y – 1 = − 2(x + 4); y = − 2x – 1; x + 2y = -2
7. graph with slope of -2 and y-intercept of -1
4
3
8. graph with slope of − and y-intercept of 2
9. 13; 65°; 65°; 115°
10. 30; 100°; 80°
11. 8; 28°; 28°
12. m; AIA
13. j ∥ k; Converse AIA
14. n; AEA
15. j ∥ k; Converse AEA
16. n; SSIA or CIA
17. j ∥ k; Converse SSIA or CIA
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