Question

triangle congruence theorems
sss (side-side-side)
sas (side-angle-side)
asa (angle-side-angle)
aas (angle-angle-side)
hl (hypotenuse-leg)
which one is the hypotenuse in the first triangle, δabc?
ab □
bc □
ac □
reswatch

Explanation:

Step1: Recall Hypotenuse Definition

In a right - triangle, the hypotenuse is the side opposite the right angle and is the longest side of the right - triangle.

Step2: Identify Right Angle in $\triangle ABC$

Looking at the first right - triangle $\triangle ABC$ (the one with right angle at $A$), the right angle is $\angle A$.

Step3: Determine the Hypotenuse

The side opposite the right angle $\angle A$ is $BC$. So we check the options:

• Option AB: AB is one of the legs (adjacent to the right angle), not the hypotenuse.
• Option BC: BC is opposite the right angle $\angle A$, so it is the hypotenuse.
• Option AC: AC is one of the legs (adjacent to the right angle), not the hypotenuse.
• Option Rewatch: This is not a side of the triangle.

Answer:

B. BC