Congruence+of+Segments

= Congruence of Segments Theorem = = By Paige Drummond and Melissa Le =

Conruence of Segments- is reflexive, symmetric, and transitive

Reflexive= Segment AB= Segment AB Symmetric= If Segment AB= Segment BC then Segment BC= Segment AB Transitive=If Segment AB= Segment BC and Segment BC= Segment CD then Segment AB= Segment CD

Name that Property:

1. Segment AD is congruent to segment AD.

2. Segment CD is congruent to segment AB, and segment AB is congruent segment DB, then segment CB is congruent segment DB.

3. Segment AG is congruent to segment GE, then segment GE is congruent to segment AG.

Answers- 1. Reflexive 2. Transitive 3. Symmetric

Given: C is the midpoint of AD D is the midpoint of CB Prove: AC=DB

Answer: Statement: Reason AC+CD=AD Segment Addition Postulate CD+DB=CB Segment Additon Postulate CD is congruent to AC Definition of a Midpoint CD is congruent to DB Definition of a Midpoint AC is congruent to DB Transitive AC=DB Defintion of Congruent Segments

Given: LE = MR and EG = RA Prove: LG = MA

answers: statements reason LE = MR and EG = RA - Given AR+RM=AM and LE+EG=LG - segment addition post. RM+AR=LG and EG+LE=AM - Substitution LG = MA - Substitution

website to help: [] Congruence of Segments

Margie Stone Sara Meurer Lizzy Luallin Holly Fielder Segment Congruence is:    Reflexive
 * 1) Reflexive
 * 2) Symmetric
 * 3) Transitive
 * Segment AB=Segment AB
 * Any segment or angle is congruent to itself

<span style="color: #800000; font-family: Tahoma,Geneva,sans-serif; font-size: 120%;">Symmetric


 * <span style="color: #800080; font-family: Tahoma,Geneva,sans-serif;">If Segment AB is congruent to Segment CD, then Segment CD is congruent to Segment AB.

<span style="color: #ff0000; font-family: 'Arial Black',Gadget,sans-serif;">W hich is Symmetric Property of Congruence? a. If Angle M is congruent to Angle S and Angle S is congruent to Angle E, then Angle M is congruent to Angle E.

b. If Segment HF is congruent to Segment LU, then Segment LU is congruent to HF.

c. Segment SM is congruent to SM. <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"> <span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">Transitive-if segment AB is congruent to segment CD & segment CD is congruent to segment EF then segment AB is congruent to segment EF <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"><span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">Which one is the transitive property? <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"><span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">a. if segment TU is congruent to segment VW & segment VW is congruent to segment AB then segment TU is congruent to segment AB <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"><span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">b. if angle T is congruent to angle U then angle U is congruent to angle V <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"><span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">c. if segment TU is congruent to segment VW then segment VW is congruent to segment TU <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;"><span style="color: #000080; font-family: 'Arial Black',Gadget,sans-serif;">answer: a because that is the only option that represents the transitive property  <span style="color: #ff0000; display: block; font-family: 'Arial Black',Gadget,sans-serif;">

__** Questions **__


 * 1. T is congruent to C. C = 5, so T is equal to 5. What property is this? **
 * 2. True or false. If CD=BF, Then BF=CD. **
 * 3. Look at the angles be **** low. What property does this show? **

__** Answers **__

1. Transitive property. 2. True 3. Reflexive property.