Transcript Warm up Given: SM Congruent PM Prove: SW Congruent WP 1. 2. 3. 4. 5. SM Congruent PM MW Congruent MW ΔSMW Congruent ΔPMW SW Congruent WF 1.

Warm up
Given: SM Congruent PM
<SMW Congruent <PMW
Prove: SW Congruent WP
1.
2.
3.
4.
5.
SM Congruent PM
<SMW Congruent <PMW
MW Congruent MW
ΔSMW Congruent ΔPMW
SW Congruent WF
1. Given
2. Given
3. Reflexive
4. SAS
5. CPCTC
WARM UP
NW = SW
<MNS = <TSN
<3 = <4
<MNW = <TSW
<1 = < 2
Δ MNW = Δ TSW
MN = TS
Given
Given
Given
Subtraction
Vertical <s are =
ASA
CPCTC
3.3 CPCTC and Circles
CPCTC: Corresponding Parts of Congruent
Triangles are Congruent.
Matching angles and sides of respective
triangles.
M
S
P
W
M
Given: SM ~
= PM
<SMW ~
= <PMW
Prove: SW ~
= WP
S
P
W
Statement
Reason
1. SM ~
= PM
1. Given
~ <PMW
2. <SMW =
2. Given
3. MW ~
= MW
3. Reflexive property
4. ΔSMW =~ ΔPMW
4. SAS (1, 2, 3)
~ PW
5. SW =
5. CPCTC
• A
• Circles: By definition, every point on a circle is equal distance
from its center point.
• The center is not an element of the circle.
• The circle consists of only the rim.
• A circle is named by its center.
• Circle A or
A
•
Given: points A,B & C lie on Circle P.
PA is a radius
PA, PB and PC are radii
 Area of a circle
Circumference
 A = Лr2
C = 2Лr
 We will usually leave in terms of pi
 Pi = 3.14 or 22/7 for quick calculations
 For accuracy, use the pi key on your calculator
T 19: All radii of a circle are congruent.
T
P
K
R
M
O
S
Given: Circle O
<T comp. <MOT
<S comp. <POS
~
Prove: MO = PO