Download 1.2 Points, Lines and Planes

Warm up 10/1
1. Two angles are complementary. One angle
has a measure that is five times the measure
of the other angle. What is the measure, in
degrees, of the larger angle?
1. T; If 2 angles are congruent, then they are right; F;
answers may vary.
2. F; 2; If a # is divisible by 4, then it is divisible by 2; T
3. T; If line k intersects XY at its midpoint, then it if the
bisector of XY; T
4. Line k intersects XY at its midpoint iff it is a bisector
of XY.
5. Addition poe
6. Transitive/substitution
7. Subtraction poe
8. Angle addition postulate
9. Answers may vary
10. X = 9, <SAK = 94˚
11. X = 27, <KAT = 94˚
#12
1. M<AOI = <EOU
2. Reflexive property
3. Angle addition
4. Substitution
5. M<1 = m<3
5. Subtraction poe
13. X = 29˚, comp = 61˚
14. X = 40, <A = 120˚, <B = 60˚
15. 20
16. 35
#17 1. M<1 = m<2
1. Given
2. AD bisects <CAB
2. Given
3. BD bisects <CBA
3. Given
4. <1 = <3; <2 = <4
4. Def angle bisector
5. <2 = <3
5. Substitution
6. <3 = <4
6. Substitution
#18 1. RS = PS; ST = SQ
1. Given
2. RS + ST = PS + SQ
2. Addition POE
3. RS + ST = RT
3. Segment Addition postulate
4. QS + SP = QP
4. “
5. RT = QP
5. Substitution
Quiz! 30 pts! You may use your purple booklets….
2.5 Perpendicular Lines
k
Definition of
Perpendicular Lines
m
k m
Perpendicular Line Theorem
(2-4)
Given: k m
Conclusion: 1  2
k
1
2
m
Congruent Adjacent Angles
Theorem (2-5)
Given: 1  2
Conclusion: k m
k
1
m
2
Perpendicular Complements
Theorem (2-6)
Given: AB BC
Conclusion: 1 and 2 are
complementary angles
A
D
1
2
B
C
2-5 Practice
A. Use the diagram to classify each statement as true
or false
Given: AB  CD
1.
2.
3.
4.
5.
6.
CGB is a right angle.
CGA is a right angle.
mDGB = 90.
EGC and EGA are complements.
DGF is complementary to DGA.
EGA is complementary to DGF.
A
E
G
C
B
F
D
B. Complete with Always, Sometimes, or Never.
7. Perpendicular lines ____ lie in the same plane.
8. Two lines are perpendicular if and only if they
_____ form congruent adjacent angles.
9. Perpendicular lines _____ form 60 angles.
10. If the exterior sides of two adjacent angles are
perpendicular, then the angles are _____
supplementary.
11. If a pair of vertical angles are supplementary, the
lines forming the angles are ____ perpendicular.
Given: AO  CO
Prove: <1 & <3 are comp. <s.
1.
2.
AO  CO
<1 & <2 are comp. <s
1.
2.
3.
m<1 + m<2 = 90˚
3.
4.
<2 = <3
4.
5.
m<1 + m<3 = 90˚
5.
6.
6.
<1 & <3 are comp . <s
given
Homework
Monday
9/28
HW: 2-3 Salmon
Worksheet
Tuesday/
Wednesday
9/29
Review Packet
and PG. 52-53
(#1 – 33 odd)
Thursday/
Friday
10/1
Quiz [2.1-2.4]
HW (2-5) Pg. 58
#2-13all, 18-25all