*In △ABC and △DEF seg AB ≅ seg FD and ∠A ≅ ∠D . Which additional information is needed to show that △ABC and △DEF will be congruent by S-A-S test ?* 1️⃣ seg AC ≅ seg DE 2️⃣ seg BC ≅ seg EF 3️⃣ seg AC ≅ seg EF 4️⃣ seg BC ≅ seg DE
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The additional information is needed to show that △ABC and △DEF will be congruent by SAS Test is (1) seg AC ≅ seg DE.
Step-by-step explanation:
- Given:
- To find: The additional information is needed to show that △ABC and △DEF will be congruent by SAS Test.
- We know, In geometry, two figures or objects are said to be congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. They will be perfectly aligned.
- For the triangles to be congruent by SAS congruency criterion we need two sides and and angle between the of given triangles to be equal.
- Here, We need one more pair of sides adjacent to angles A and D. They are AC and DE respectively.
Therefore, The additional information is needed to show that △ABC and △DEF will be congruent by SAS Test is (1) seg AC ≅ seg DE.
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