Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?Check all that apply.A.Any line segment can be extended indefinitely.B.Two segments that are both congruent to a third segment must be congruent to each other.C.All right angles are equal.D.All of the radii of a circle are congruent.SUBMITarrow_backPREVIOUS
Question
Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?Check all that apply.A.Any line segment can be extended indefinitely.B.Two segments that are both congruent to a third segment must be congruent to each other.C.All right angles are equal.D.All of the radii of a circle are congruent.SUBMITarrow_backPREVIOUS
Solution
The reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle are:
B. Two segments that are both congruent to a third segment must be congruent to each other. This is used to prove that the three sides of the triangle, which are all drawn from the same length, are equal.
D. All of the radii of a circle are congruent. This is used to prove that the three sides of the triangle, which are all drawn as radii of the same circle, are equal.
So, the correct answers are B and D.
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