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State weather triangle ABC and AED are congruent JUSTIFY your answer

State weather triangle ABC and AED are congruent JUSTIFY your answer-example-1
User Gato
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1 Answer

4 votes

Considering the triangles:

ΔABC and ΔAED

The corresponding sides are the following:

AB and AE

BC and ED

CA and DA

Side AB has a length of 7 units, this is the same length for side AE, which means that both sides are congruent AB ≅ AD

Sides CA and DA have one tick mark each, this indicates that both sides have the same length, then CA ≅ DA

Sides BC and ED have two tick marks, which indicates that they are equal, then BC ≅ ED

The corresponding sides are equal, so you can conclude that the triangles are congruent by Side-Side-Side (SSS)

Also, the angles ∠BAC and ∠EAD have the same mark, which indicates that they are congruent, so ∠BAC ≅ ∠EAD

Since two corresponding sides and the angles between them are congruent, that is:

AB ≅ AD

CA ≅ DA

∠BAC ≅ ∠EAD

You can conclude that the triangle is congruent by Side-Angle-Side

State weather triangle ABC and AED are congruent JUSTIFY your answer-example-1
User Codium
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5.1k points