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Given: SM Congruent PM

<SMW Congruent <PMW

Prove: SW Congruent WP

- SM Congruent PM 1. Given
- <SMW Congruent <PMW 2. Given
- MW Congruent MW 3. Reflexive
- ΔSMW Congruent ΔPMW 4. SAS
- SW Congruent WF 5. CPCTC

NW = SW Given

<MNS = <TSN Given

<3 = <4 Given

<MNW = <TSW Subtraction

<1 = < 2 Vertical <s are =

Δ MNW = Δ TSW ASA

MN = TS CPCTC

P

S

W

3.3 CPCTC and Circles

CPCTC: Corresponding Parts of Congruent Triangles are Congruent.

Matching angles and sides of respective triangles.

P

S

W

Given: SM = PM <SMW = <PMWProve: SW = WP~

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- Statement Reason
- SM = PM 1. Given
- <SMW = <PMW 2. Given
- MW = MW 3. Reflexive property
- ΔSMW = ΔPMW 4. SAS (1, 2, 3)
- SW = PW 5. CPCTC

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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 radiusPA, 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.

Given: Circle O

<T comp. <MOT

<S comp. <POS

Prove: MO = PO

T

P

R

K

M

O

S

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