Question

use the given information to prove that \\( \triangle svr \cong \triangle sut \\).
your answer
given: \\( m \angle r = m \angle t \\)
\\( vr = ut \\)
prove: \\( \triangle svr \cong \triangle sut \\)

Explanation:

Step1: Vertical angles

$$ \angle3=\angle4 $$

Step2: Angle - Angle - Side (AAS)

Since \(m\angle R = m\angle T\), \(VR = UT\) and \(\angle3=\angle4\), by AAS (Angle - Angle - Side) congruence criterion.

Answer:

\(\triangle SVR\cong\triangle SUT\) (by AAS)