What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA? Triangle ABC and triangle DEF are drawn with angles B and E marked congruent and angles C and F marked congruent. a. segment AB ≅ segment DE b. segment BC ≅ segment EF c. segment AB ≅ segment FE d. segment BC ≅ segment ED.

Question

Shaun

Mathematics

21 May, 16:59

What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA? Triangle ABC and triangle DEF are drawn with angles B and E marked congruent and angles C and F marked congruent. a. segment AB ≅ segment DE b. segment BC ≅ segment EF c. segment AB ≅ segment FE d. segment BC ≅ segment ED.

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Answers (2)

Know the Answer?

Delilah Farley · Answer 1

The answer is DE ≅ DG

Quentin Rios · Answer 2

The correct answer is:

B) segment BC ≅ segment EF.

Explanation:

ASA is "angle-side-angle"; it means that two angles and the included side of one triangle are congruent to the corresponding two angles and included side of the second triangle.

Since we know that ∠ B ≅ ∠ E and ∠ C ≅ ∠ F, and these are adjacent angles, this means the side between each pair of angles must be congruent in each triangle. These are segments BC and EF, which gives us our answer.