Question

question 7 of 10
based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why △def≅△klm?
check all that apply.
a. aas
b. hl
c. ll
d. sas
e. la
f. ha

Explanation:

• LL (Leg - Leg): In right - angled triangles, if the two legs of one right - angled triangle are equal to the two legs of another right - angled triangle, the triangles are congruent. Here, in \(\triangle DEF\) and \(\triangle KLM\), \(DE = KL\) (one leg) and \(DF=KM\) (another leg) as they are marked equal.
• SAS (Side - Angle - Side): For right - angled triangles, the right angle is the included angle. We have two sides (\(DE = KL\) and \(DF = KM\)) and the included right angle (\(\angle D=\angle K = 90^{\circ}\)) which satisfies the SAS criterion.

Answer:

C. LL, D. SAS