Question

multiple choice
question 11
listen
consider the diagram below. which shortcut demonstrates $\triangle abc \cong \triangle ent$
congruent triangles
$\triangle abc \cong \triangle \underline{ent}$

Explanation:

To determine the congruence shortcut for \(\triangle ABC \cong \triangle ENT\), we analyze the given diagram:

1. Identify Corresponding Parts:

• Angle \(B\) and angle \(N\) are marked with the same number of arcs, so \(\angle B \cong \angle N\).
• Side \(AB\) (in \(\triangle ABC\)) and side \(EN\) (in \(\triangle ENT\)) are marked with one tick mark, so \(AB \cong EN\).
• Angle \(A\) and angle \(E\) are marked with the same number of arcs (one arc), so \(\angle A \cong \angle E\).

1. Apply Congruence Criterion:

The pattern of congruent parts is: Angle - Side - Angle (ASA). This is because we have two consecutive angles (\(\angle A \cong \angle E\), \(\angle B \cong \angle N\)) with the included side (\(AB \cong EN\)) between them.

For example, if the answer choices include ASA (Angle - Side - Angle), that would be the correct shortcut. Assuming the options include ASA (e.g., "ASA" or "Angle - Side - Angle"), the correct answer follows the ASA congruence criterion.

Answer:

(Assuming the correct option is labeled, e.g.,) A. ASA (Angle - Side - Angle)