Question

1. given that $\triangle mtwcong\triangle cad$, which segments are corresponding parts of the congruent triangles?

$overline {tw}congoverline {cd}$
$overline {mt}congoverline {ca}$
$overline {mw}congoverline {ad}$

Explanation:

Step1: Analyze the congruent triangles

When \(\triangle MTW\cong\triangle CAD\), the order of the letters gives the correspondence. \(M\) corresponds to \(C\), \(T\) corresponds to \(A\), and \(W\) corresponds to \(D\).

Step2: Check each segment

• For \(\overline{TW}\) and \(\overline{CD}\): \(T\) corresponds to \(A\) (not \(C\)), \(W\) corresponds to \(D\), so \(\overline{TW}

ot\cong\overline{CD}\).

• For \(\overline{MT}\) and \(\overline{CA}\): \(M\) corresponds to \(C\), \(T\) corresponds to \(A\), so \(\overline{MT}\cong\overline{CA}\).
• For \(\overline{MW}\) and \(\overline{AD}\): \(M\) corresponds to \(C\) (not \(A\)), \(W\) corresponds to \(D\), so \(\overline{MW}

ot\cong\overline{AD}\).

Answer:

\(\overline{MT}\cong\overline{CA}\)