Question

before you continue, we recommend completing the day 2 activity,
eason through it.\

image of two triangles, one pink with single tick marks on sides, one blue with double tick marks on sides

are these figures congruent?

• no, because the corresponding angles are congruent but the corresponding sides are not.
• there is not enough information to determine congruence.
• yes, because the corresponding angles are congruent and the corresponding sides are congruent.

Explanation:

To determine if the triangles are congruent, we check corresponding angles and sides. The first triangle has single tick marks on sides, the second has double tick marks. So corresponding sides (marked with different tick counts) are not congruent, even though angles might appear congruent (all angles in a triangle sum to \(180^\circ\), so if two triangles are equiangular, angles are congruent, but side lengths differ here as seen from tick marks). So the correct reasoning is that corresponding angles are congruent but sides are not, leading to non - congruence.

Answer:

No, because the corresponding angles are congruent but the corresponding sides are not.