segment AC is congruent to segment AD by the ______ of the Isosceles Triangle Theorem. (8 letters, 5th=E, 7th=S) Please help!

Converse

usuck

To find the missing word in the statement, let's understand the Isosceles Triangle Theorem. According to this theorem, if a triangle has two sides that are congruent (in this case, segments AC and AD), then the angles opposite those sides are also congruent.

Now, let's find the missing word that fits the description. The word we are looking for should have 8 letters, with the 5th letter as "E" and the 7th letter as "S."

The word that matches this description is "BASES." The Isosceles Triangle Theorem states that if segments AC and AD are congruent, they are called the "bases" of the isosceles triangle. Therefore, by the bases of the Isosceles Triangle Theorem, segment AC is congruent to segment AD.

So, the missing word is "BASES."