Answer:
Step-by-step explanation:
To determine if the triangles △BCA\triangle BCA△BCA and △LKJ\triangle LKJ△LKJ are congruent by the Angle-Side-Angle (ASA) criterion, we need to know two angles and the included side in both triangles.
From the image:
• Both triangles have a right angle (∠BAC\angle BAC∠BAC and ∠KJL\angle KJL∠KJL).
• ∠BCA\angle BCA∠BCA is congruent to ∠LKJ\angle LKJ∠LKJ (both are right angles).
We need one more angle and the included side to confirm congruence by ASA.
The additional information required is:
• Either the side ACACAC congruent to the side JLJLJL
• Or angle ∠CBA\angle CBA∠CBA congruent to angle ∠LJK\angle LJK∠LJK
Given the options:
• ∠B≅∠K\angle B \cong \angle K∠B≅∠K
• CB≅LKCB \cong LKCB≅LK
• ∠C≅∠L\angle C \cong \angle L∠C≅∠L
• AC≅JLAC \cong JLAC≅JL
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The correct option for congruence by ASA would be AC≅JLAC \cong JLAC≅JL.
So the answer is: AC≅JL\boxed{AC \cong JL}AC≅JL.
