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Ricardo is constructing the circumscribed circle for △XYZ. He has already used his compass and straightedge to complete the part of the construction shown in the figure.




Which construction could be his next step?


Construct the line through points A and Y.

Construct the perpendicular bisector of YZ⎯⎯⎯⎯⎯ .

Construct the line through points B and Z.

Construct the angle bisector of ∠X .

Ricardo is constructing the circumscribed circle for XYZ. He has already used his compass and straightedge to complete the part of the construction shown in the class=

Verified Answer :

mariechelswa525

Answer:

Just took the test and got it correct °˖✧◝(⁰▿⁰)◜✧˖°

Step-by-step explanation:

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The next step of Ricardo is to Construct the perpendicular bisector of YZ.

Given,

Ricardo is constructing the circumscribed circle for \(\Delta XYZ\) As shown in figure.

We have to find the next step in the construction of circumscribed circle for \(\Delta XYZ\).

How to draw the circumscribed circle?

first we find the Circumcenter of the triangle.

We know that the point at which the perpendicular bisector of any two sides of triangle intersect each other will be the Circumcenter of that triangle.

Since in the construction steps of Ricardo he only draws the perpendicular bisector of side XY.

So his next must be to draw the perpendicular bisector of other sides.

Since the options contain only the perpendicular bisector of side YZ. so this step will be his next step.

Hence the correct option is B. Construct the perpendicular bisector of YZ.

For more details about circumscribed circle, follow the link:

https://brainly.com/question/4424318

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