Based on the information marked in the diagram, ABC and DEF must be congruent.

Hello!

As you can see, both AB and DE both have one dash mark. This means they are congruent. Angles C and F are congruent as well. A and D both have right angles. These triangles are congruent.

I hope this helps!

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OrethaWilkison OrethaWilkison · Answer 2 · 2018-11-18T18:29:57+01:00

Answer:

Option A is correct

True, ΔABC and ΔDEF must be congruent.

Explanation:

LA theorem or Postulates states that given two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and a leg of the other triangle, then the two triangles are congruent.

In ΔABC and ΔDEF

AB = DE [Leg] [Given in the figure]

[tex]\angle BAC = \angle EDF = 90^{\circ}[/tex] [Given]

[tex]\angle BCA = \angle EFD[/tex] [Acute angle] [Given in the figure]

Then, by the LA theorem or Postulates;

therefore, ΔABC [tex]\cong[/tex] ΔDEF .