Congruence Terms

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

• The two angles are corresponding parts of the two triangles in question.

• Alternate internal angles of a transversal are congruent.

• The reflexive property of congruence.

• These angles are Vertical angles and therefore are congruent.

• It meets the criteria for the angle addition postulate.

You are trying to prove triangles A and B congruent. In the Given Statement, you were told that Triangle C and D are congruent. What is the reason you would mark the blue single and blue double marked line segments congruent?

• Corresponding Parts of Congruent Triangles are Congruent.

  (CPCTC)

• Definition of Midpoint

• Congruent Transversal Line Segment Postulate

• Definition of Perpendicular Lines

• Segment Addition Postulate

You are trying to prove △MXC≅△LXC. Identify the components of the triangles on the diagram that are congruent due to the reflexive property help prove their congruence by selecting the points which define the components.

Fill in the proof with the labels below.

f

g

h

b

c

e

i

a

d

j

△SEM ≅ △KMR

Definition of midpoint

∠SMR

SM

CPCTC

Alternate internal ∠’s are ≅

AAS congruence theorem

∠SEM

RM ≅ EM

SAS congruence postulate

What additional information is needed to prove that △MYG ≅ △MYR?​ ​ (a)  

• EO ≅ TE

• ∠YTE ≅ ∠YES

• ∠ESO ≅ ∠TES

• GM ≅ MK

• GR ≅ GR

• OT ≅ ZE

• ∠OMS ≅ ∠MSE

Label the blank triangle with the corresponding triangle part.

a

b

c

d

e

f

|

|||

)))

||

))

)

In terms of congruence, (a)   shows that ​ (b)   occurred by manipulating the figures in a manner which demonstrate that (c)   are (d)   .​

• mapping

• rigid motions

• both the corresponding sides and angles

• the same measure

• dialtions

• both dilations and rigid motions

• the verticies

• the corresponding sides

• translating

• identical

Fill in the statement for number 4. 

• RA=RE +AE

• EL = EA + AL

• RE +EA= EA +AL

• RA = EL

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property