Segment Congruence
Reflexive Property:
Symmetric Property:
Transitive Property:
Proof of Transitive Property of Congruence (with segments)
̅̅̅̅ , 𝑃𝑄
̅̅̅̅ ≅ 𝑅𝑆
̅̅̅̅
̅̅̅̅̅ ≅ 𝑃𝑄
Given: 𝑀𝑁
M
̅̅̅̅
̅̅̅̅̅ ≅ 𝑅𝑆
Prove: 𝑀𝑁
N
Statement
Ex 2: Proof with Segment Congruence
̅̅̅̅ ≅ 𝑋𝑍,
̅̅̅̅̅ 𝑋𝑍
̅̅̅̅ ≅ 𝑊𝑋
̅̅̅̅̅
Given: 𝑊𝑌 = 𝑌𝑍, 𝑌𝑍
̅̅̅̅̅ ≅ 𝑊𝑌
̅̅̅̅̅̅
Prove: 𝑊𝑋
Statement
P
Reason
Y
3cm
W
Reason
Z
X
Q
R
S