Question

copy the triangles and highlight congruent parts. mark and highlight additional congruent parts that can be proven. explain why the parts are congruent. state how the triangles can be proven congruent, if possible. alternate interior angles congruent, asa reflexive property, aas reflexive property, asa alternate interior angles congruent, aas

Explanation:

Step1: Identify Congruent Angles

• Alternate interior angles are congruent. Let's assume the two - triangle figure is formed by a transversal intersecting two parallel lines. If we have two parallel lines \(l_1\) and \(l_2\) and a transversal \(t\), then \(\angle1\) and \(\angle2\) (alternate interior angles) are congruent.
• There is a common side (by the reflexive property). Let the common side be \(s\). So, \(s\cong s\)

Step2: Apply Congruence Criterion

• We have two angles (one pair of alternate interior angles and another pair of angles (given in the figure)) and the included side (by reflexive property).
• The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

The correct answer is “Reflexive Property, ASA”