The proofs demonstrate that triangle QRS is congruent to triangle STU based on either the SSS Congruence theorem or the ASA Congruence theorem.
S is the midpoint of QU
QR ≅ ST
RS ≅ TU
We are to Prove that triangle QRS ≅ Triangle STU
Side-Side-Side (SSS) Congruence: Since S is the midpoint of QU, we know that QS = US.
, we have:
QS ≅ US
QR ≅ ST
RS ≅ TU
two triangles are congruent if all three corresponding sides are congruent if we apply the By the SSS Congruence theorem,
triangle QRS ≅ triangle STU.