Question

select the correct answer. using triangle abc, how does extending vertex c further away to the left of vertex b verify the relationship between sides and angles in triangles? a. by showing that as bc increases, m∠a remains the same b. by showing that as bc increases, m∠a increases c. by showing that as bc increases, m∠c increases d. by showing that as bc increases, m∠a decreases

Explanation:

Step1: Recall angle - side relationship

In a triangle, the larger the side opposite an angle, the larger the angle.

Step2: Analyze side - angle change

When extending vertex C to the left of B, side BC increases. Angle A is opposite side BC. As BC increases, ∠A increases.

Answer:

B. by showing that as $BC$ increases, $m\angle A$ increases