Answers to homework (page 11 in packet) problems 1.PQ= 2.PQ= 3.PQ= PR= QR= 4.PQ= PR= QR= 5.PQ= PR=...
11
Answers to homework (page 11 in packet) problems 524 1566 69 89 38 38 138 38 21 66 29 1. PQ= 2. PQ= 3. PQ= PR= QR= 4. PQ= PR= QR= 5. PQ= PR= QR=
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Transcript of Answers to homework (page 11 in packet) problems 1.PQ= 2.PQ= 3.PQ= PR= QR= 4.PQ= PR= QR= 5.PQ= PR=...
Answers to homework (page 11 in packet) problems
€
524
1566
69
89
38
38
138
38
21
66
29
1. PQ=
2. PQ=
3. PQ=
PR=
QR=
4. PQ=
PR=
QR=
5. PQ=
PR=
QR=
€
18. 2 131
19. 3 174
Warm-up
Fill in the blanks.
1.The endpoint of is _________.
2.Line segments with equal measures are _____________.
3.A rule of geometry that is accepted without proof is a ______________.
4.A pair of opposite rays form a ____________.
€
RQ R
congruent
postulate
line
Objective: Students will be able to use angle postulates and classify angles.
An angle consists of 2 rays share by a common initial point. The common point is called vertex. The two rays are called sides.
vertex
A sides
B
C
A
B
C
interior
exterior
A
B
C
interior
exterior
Acute and Obtuse Angles
The measure of an obtuse angle is less than 1800 but greater than 900.
A
B
C
A
B
C
The measure of an acute angle is greater than 00 but less than 900.
€
900 < m∠BAC <1800
€
00 < m∠CAB < 900
Right and Straight Angles
AB C
The measure of a straight angle is exactly 1800.
A
B
C
The measure of a right angle is exactly 900.
€
m∠BAC =1800
€
m∠CAB = 900
Adjacent Angles
S
R
T
P
€
∠RSP
€
∠PST is adjacent to
€
m∠PST + m∠RSP = m∠RST
Angle Addition Postulate
800
680
Congruent Angles
O
D
G
A
B
C
730 730
€
m∠DOG = 730
m∠BAC = 730
m∠DOG = m∠BAC
∠DOG ≅∠BAC
YOUR TURN!(1-4)Draw and carefully label the figures.1. Acute angle SAM with a measure of 450.2. Right angle RTE3. Obtuse angle BIG with angle bisector4. Q is in the interior of angle ROS. S is in the interior
of angle QOP.5. Find the measure of each angle. ∠SAM is a
straight angle. €
IE
S MA
E
(2x)o(6x+1)o
1. Acute angle SAM with a measure of 450.
1. Right angle RTE
1. Obtuse angle BIG with angle bisector
1. Q is in the interior of angle ROS. S is in the interior of angle QOP.
1. Find the measure of each angle. ∠SAM is a straight angle.
A
S
M
RT
E
B
I
G
S
O
R
Q
P
€
(6x +1) + 2x =180
8x +1 =180
8x =179
x = 22.375
m∠SAE =135.25°,m∠MAE = 44.75°
