Answer:
The answer is below
Step-by-step explanation:
Prove ∠RQS = ∠RTS
Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of another triangle.
Statement Reason
QS ≅ TS Given
RS ≅ RS Reflexive property of congruence.
R is the midpoint of QT Given
QR = RT R is the midpoint of QT. Therefore by
definition, QR = RT.
ΔRQS = ΔRTS Side-side-side triangle congruence theorem. If
three sides of one triangle is equal to three
sides of another triangle, then both triangles
are congruent to each other.
∠RQS = ∠RTS Corresponding angles of congruent triangles
are equal.
