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Question
question 2 of 5 select the correct answer from each drop - down menu. robbie wants to construct an equilateral triangle. he draws diameter ab of circle o and constructs the perpendicular bisector of diameter ab, find the points x and y. then he draws the triangle axb. what error did he make? the first mistake robbie made was he should have constructing the diameter of the circle connecting points axb to create the triangle constructing the perpendicular bisector of ab
Step1: Recall equilateral - triangle construction
To construct an equilateral triangle with side AB, we need to use the radius of the circle. The correct way is to use the radius of the circle centered at A and B with radius equal to the length of AB.
Step2: Analyze Robbie's steps
Robbie constructed the perpendicular bisector of the diameter AB first. This step is not relevant to constructing an equilateral triangle with side AB. He should have used the radius of the circle centered at A and B to find the third - vertex of the equilateral triangle.
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He made the mistake of constructing the perpendicular bisector of the diameter of the circle instead of using the radius of the circle centered at A and B to find the third vertex of the equilateral triangle.