1 / 8

# Warm up - PowerPoint PPT Presentation

Warm up. 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 Δ SMW Congruent Δ PMW 4. SAS SW Congruent WF 5. CPCTC. WARM UP. NW = SW Given <MNS = <TSN Given <3 = <4 Given

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Warm up' - najwa

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

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

~

~

~

• 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

~

~

~

~

~

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

Given: Circle O

<T comp. <MOT

<S comp. <POS

Prove: MO = PO

T

P

R

K

M

O

S

~