Given: is perpendicular to , which is the base of isosceles Prove: Statements Reasons 1) is isosceles, 1) given 2) 2) 3) and are right angles 3) 4) 4) definition of right triangle 5) 5) 6) 6) A. 2) definition of an isosceles triangle 3) definition of perpendicular 5) symmetric property of congruence 6) HL theorem B. 2) reflexive property of congruence 3) definition of perpendicular 5) definition of an isosceles triangle 6) SAS theorem C. 2) definition of an isosceles triangle 3) definition of perpendicular 5) reflexive property of congruence 6) HL theorem D. There is not enough information to prove the triangles congruent.

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jadenlaurenslone jadenlaurenslone · Answer 1 · 2024-03-07T15:28:47+01:00

Answer: D. There is not enough information to prove the triangles congruent.

△CDB. [HL theorem or Hypotenuse-Leg theorem]

Now, let's compare the given options:

A. The steps match with the proof, including the use of the HL theorem.

B. The proof does not use the reflexive property of congruence.

C. The steps match with the proof, including the use of the HL theorem.

D. The proof successfully demonstrates that the triangles are congruent, thus proving that

△ABC is isosceles.

Among the options provided, option D correctly states that the triangles are congruent, and therefore,

ABC is isosceles. So, the correct answer is: