Question

based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why △hij≅△klm? check all that apply. a. aas b. la c. hl d. ll e. ha f. asa

Explanation:

Step1: Identify right - angled triangles

The given triangles $\triangle HIJ$ and $\triangle KLM$ are right - angled triangles as indicated by the right - angle symbols.

Step2: Analyze congruence postulates

• AAS (Angle - Angle - Side): We don't have information about two angles and a non - included side.
• LA (Leg - Angle): We can assume one leg is congruent (indicated by the tick marks) and one non - right angle is congruent. So LA can be a reason.
• HL (Hypotenuse - Leg): We don't have information about the hypotenuse and a leg.
• LL (Leg - Leg): We can assume the legs indicated by the tick marks are congruent. So LL can be a reason.
• HA (Hypotenuse - Angle): We don't have information about the hypotenuse and an angle.
• ASA (Angle - Side - Angle): We don't have information about two angles and the included side.

Answer:

B. LA
D. LL