Question

congruent triangles (topic 5)
if △abc is congruent to △trw then which of the following can be concluded using the fact that c
congruent?
∠rtw≅∠bca
(overline{ca}congoverline{wt})
(overline{bc}congoverline{tr})
∠abc≅∠wtr

Explanation:

Step1: Recall congruent - triangle properties

When \(\triangle ABC\cong\triangle TRW\), corresponding angles and sides are congruent. The order of the vertices in the triangle - congruence statement matters.

Step2: Match corresponding components

The vertices of \(\triangle ABC\) and \(\triangle TRW\) are paired as follows: \(A\) with \(T\), \(B\) with \(R\), and \(C\) with \(W\). For sides, \(\overline{AB}\cong\overline{TR}\), \(\overline{BC}\cong\overline{RW}\), \(\overline{CA}\cong\overline{WT}\); for angles, \(\angle A\cong\angle T\), \(\angle B\cong\angle R\), \(\angle C\cong\angle W\).

Answer:

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