Lucy is constructing the circumscribed circle for △XYZ. She has already used her compass to complete the part of the construction shown in the figure. Which construction could be her next step? Construct the line through points A and Z. Construct the line through points X and A. Construct the line through points C and Y. Construct the line through points A and C.
Answers
Given : Lucy is constructing the circumscribed circle for △XYZ. She has already used her compass to complete the part of the construction shown in the figure.
To Find : Which construction could be her next step?
Construct the line through points A and Z.
Construct the line through points A and C.
Construct the line through points X and A.
Construct the line through points C and Y.
Solution :
Lucy is constructing the circumscribed circle for △XYZ
Center for circum circle lies on intersection of perpendicular bisector of sides of triangle
In figure To draw perpendicular bisector of side XY , Lucy has alrady drawn arcs intersecting at A and C
Next Step would be joining A and C.
Construct the line through points A and C is correct option :
Additional info:
Draw perpendicular bisector of YZ or XZ which intersect line passing through AC at O
Using Compass width = OX/OY/OZ and taking O as center draw circle.
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Answer: Construct the line through points A and C.
Step-by-step explanation:
