Question

1. in the figure, \\( \triangle alm \cong \triangle blm \\) by side - angle - side (sas). which angles are congruent by cpctc?

\\( \angle lam \cong \angle lbm \\)
\\( \angle bla \cong \angle amb \\)
\\( \angle alm \cong \angle bml \\)

Explanation:

Step1: Recall CPCTC

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent". If \(\triangle ALM\cong\triangle BLM\) by SAS, then their corresponding angles are congruent.

Step2: Identify corresponding angles

In \(\triangle ALM\) and \(\triangle BLM\), \(\angle LAM\) in \(\triangle ALM\) corresponds to \(\angle LBM\) in \(\triangle BLM\).
\(\angle ALM\) and \(\angle BML\) are not corresponding angles. \(\angle BLA\) and \(\angle AMB\) are not angles of \(\triangle ALM\) and \(\triangle BLM\) in a way that they would be corresponding parts.

Answer:

\(\angle LAM\cong\angle LBM\)