Question

I'LL NAME BRAINLIAST!!! 

ATTENTION GEOMETRY HELP!!!! In the figure below, segment AC is congruent to segment AB:

Triangle ABC with a segment joining vertex A to point D on side BC. Side AB is congruent to side AC

Which statement is used to prove that angle ABD is congruent to angle ACD?

Triangle ACD is similar to triangle ABD.
Triangle ACD is congruent to triangle ABD.
Segment AD is congruent to segment AC.
Segment AD is congruent to segment DC.

Answer 1

The correct answer is: [B]: " Triangle ACD is congruent to Triangle ABD " .

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Note that Triangle ABC is an isosceles triangle, with side "AC" congruent to "AB" (as noted in the diagram).

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Answer 2

Answer: The answer is (b) Triangle ACD is congruent to triangle ABD.

Step-by-step explanation: In the given figure, ABC is a triangle, where the side AC is congruent to side AB.

ie., AC ≅ AB.

Now, vertex A is joint to a point D on BC. S, to prove ∠ABD ≅ ∠ACD, we need the two triangles, ΔABD and ΔACD to be congruent to each other.

Then, we can apply the rule that corresponding parts of congruent triangles are congruent, and we can conclude that

∠ABD ≅ ∠ACD.

The other three option will not serve our purpose.

Thus, the correct option is (b) Triangle ACD is congruent to triangle ABD.