Question

In order to set up for a rowing competition, the crew needs to find a practice course in a lake. Using the diagram above , determine which of the following reasons allows us to conclude that x is equal to the distance across the lake.All options down below1. All three angles of the triangle are congruent, so the triangles must be congruent2. the triangles for two parallel lines; therefore they must be congruent3. vertical angles are congruent, so by ASA, the two triangles are congruent4. alternate interior angles are congruent, so all of the side must be congruent

Answer 1

Given information in the diagram: In yellow

Congruent angles

Congruent sides

Vertical angles: (in blue) Pair of opposite angles made by intersecting lines.

Then, you have two pairs of angles and the side contained between those angle that are cpongruent. ASA rule of congruence

vertical angles are congruent, so by ASA, the two triangles are congruent