Question

1. what else is needed to show $\triangle two \cong \triangle hip$ by hl?

a. $\overline{wo} \cong \overline{hi}$
b. $\overline{to} \cong \overline{hp}$
c. $\angle o \cong \angle i$
d. $\angle t \cong \angle p$

Explanation:

Step1: Recall HL Congruence

HL (Hypotenuse - Leg) congruence for right triangles requires the hypotenuse and one leg of one right triangle to be congruent to the hypotenuse and corresponding leg of another right triangle.

Step2: Identify Given and Needed

From the diagrams, \(\triangle TWO\) and \(\triangle HIP\) are right triangles (right angles at \(W\) and \(I\) respectively). We need to check which option provides the hypotenuse or leg congruence. Option B (\(\overline{TO} \cong \overline{HP}\)) would be the hypotenuse congruence (since \(TO\) and \(HP\) are hypotenuses of the right triangles), and with the given leg congruence (from the markings), this satisfies HL.

Answer:

B. \(\overline{TO} \cong \overline{HP}\)