Question

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why A DEF= AJKL?
Check all that apply.
D
O A. LL
B. HL
C. LA
D. ASA
E. SAS
OF. AAS

Answer 1

The option (C) LA and (D) ASA are correct because two angles and one side are the same.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

From the triangle DEF and triangle JKL

∠D = ∠J  (given)

∠F = ∠L  (given)

ED = KJ  (given)

∴ Triangle DEF and triangle JKL are congruent by the ASA

ΔDEF≅ΔJKL

Also:

∠F = ∠L  (given)

ED = KJ  (given)

ΔDEF≅ΔJKL by LA

Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.

Learn more about the congruent triangle here:

brainly.com/question/12413243

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