4.6. SSS Triangle Congruence http://www.ck12.org
DE=
√
( 3 − 6 )^2 +( 9 − 4 )^2
=
√
(− 3 )^2 +( 5 )^2
=
√
9 + 25
=
√
34
EF=
√
( 6 − 10 )^2 +( 4 − 7 )^2
=
√
(− 4 )^2 +(− 3 )^2
=
√
16 + 9
=
√
25 = 5
DF=
√
( 3 − 10 )^2 +( 9 − 7 )^2
=
√
(− 7 )^2 +( 2 )^2
=
√
49 + 4
=
√
53
No sides have equal measures, so the triangles are not congruent.
TABLE4.5:
Statement Reason
1.AB∼=DC,AC∼=DB 1. Given
2.BC∼=CB 2. Reflexive PoC- 4 ABC∼= 4 DCB 3. SSS Postulate
- The triangles are congruent because they have three pairs of sides congruent. 4 DEF∼= 4 IGH.
Explore More
Are the pairs of triangles congruent? If so, write the congruence statement and why.