Question

nancee knight
learn triangle congruence theorems
triangle congruence theorems
sss (side-side-side)
\\( \overline { a b } \cong \overline { d e } ( s ) \\)
\\( \overline { b c } \cong \overline { e f } ( s ) \\)
\\( \overline { a c } \cong \overline { d f } ( s ) \\)
sas (side-angle-side)
\\( \overline { a b } \cong \overline { d e } \\)
\\( \angle b \cong \angle e \\)
\\( \overline { b c } \cong \overline { e f } \\)
asa (angle-side-angle)
\\( \angle a \cong \angle d \\)
\\( \overline { a b } \cong \overline { d e } \\)
\\( \angle b \cong \angle e \\)
aas (angle-angle-side)
\\( \angle a \cong \angle d \\)
\\( \angle b \cong \angle e \\)
\\( \overline { b c } \cong \overline { e f } \\)
hl (hypotenuse-leg)
right triangle congruence
multiple-choice question
which one is the hypotenuse in the first triangle, \\( \triangle a b c \\)?
ac
ab
bc

Explanation:

Step1: Recall the definition of hypotenuse

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

Step2: Identify the right - triangle and its sides

In \(\triangle ABC\), assume \(\angle C = 90^{\circ}\) (since it is a right - triangle for the HL (Hypotenuse - Leg) congruence criterion shown in the image). By the definition of hypotenuse in a right - triangle (\(ABC\)), the hypotenuse is the side opposite the right - angle. Using the side - naming convention for a triangle \(ABC\) with vertices \(A\), \(B\), and \(C\), the side opposite \(\angle C\) is \(AB\).

Answer:

\(AB\)