Download Triangle Congruence by SSS and SAS

Triangle Congruence by SSS and SAS
Lesson 4-2
Geometry
Additional Examples
Given: M is the midpoint of XY, AX
Prove: AMX
AMY
AY
Write a paragraph proof.
Copy the diagram. Mark the congruent sides.
You are given that M is the midpoint of XY, and AX AY.
Midpoint M implies MX MY. AM AM by the Reflexive
Property of Congruence, so AMX
AMY by the SSS
Postulate.
Triangle Congruence by SSS and SAS
Lesson 4-2
Geometry
Additional Examples
AD BC. What other information do you need to prove
by SAS?
ADC
BCD
It is given that AD BC. Also, DC CD by the Reflexive Property of
Congruence. You now have two pairs of corresponding congruent sides.
Therefore if you know ADC BCD, you can prove ADC
BCD by
SAS.
Triangle Congruence by SSS and SAS
Lesson 4-2
Geometry
Additional Examples
Given: RSG RSH, SG SH
From the information given, can you prove
RSG
RSH? Explain.
Copy the diagram. Mark what is given on the diagram.
It is given that RSG RSH and SG SH.
RS RS by the Reflexive Property of Congruence.
Two pairs of corresponding sides and their included angles
are congruent, so RSG
RSH by the SAS Postulate.