Question

question 8 of 10
based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why △hel ≅ △pme?
check all that apply.
a. aas
b. asa
c. ha
d. ll
e. hl
f. sas

Explanation:

• AAS (Angle - Angle - Side):
• In right - angled triangles \(\triangle HEL\) and \(\triangle PME\), we have two angles (the right angles and the marked equal angles) and a non - included side (the sides marked with one tick).
• HA (Hypotenuse - Angle):
• For right - angled triangles, if the hypotenuse (the side marked with two ticks) and an acute angle (the marked non - right angle) are equal, the triangles are congruent. This is a special case for right - angled triangles equivalent to AAS.

Answer:

A. AAS, C. HA