Question

question 4 of 10
based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why \\( \triangle j k l \cong \triangle m n o \\)?
check all that apply.
a. aas
b. la
c. ha
d. ll
e. sas
f. hl

Explanation:

• AAS (Angle - Angle - Side): In right - angled triangles, if two angles and a non - included side are equal. Here, the right angles ($\angle J=\angle M = 90^{\circ}$), and we can assume other angles (by the property of right - angled triangles and side - side relationships from the diagram) and a non - included side.
• LA (Leg - Angle): For right - angled triangles, if a leg and an acute angle are equal. The legs (marked as equal in the diagram) and the right angles (which are angles) satisfy this.
• LL (Leg - Leg): In right - angled triangles, if the two legs are equal. The legs of $\triangle JKL$ and $\triangle MNO$ (as marked in the diagram) are equal.

Answer:

A. AAS, B. LA, D. LL