Circumcenter Construction

Review of constructing a Perpendicular Bisector
Construction Steps:
[table][tr][td][size=100]1.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point A [i]and through point B[/i]. (circle d)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]8.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line GF[/i]. (line i)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][img]data:image/png;base64,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[/img][br][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point B [i]and through point A[/i]. (circle e)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][br][/td][td][size=100]9.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point B [i]and through point C[/i]. (circle k)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100][size=100][size=100]3.[/size][/size][/size][/td][td][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle d and circle e. [br](point D & point E)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]10.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point C [i]and through point B[/i]. (circle p)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/size][/size][/size][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line DE[/i]. (line f)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][size=100][br][/size][/td][td]11.[br][/td][td][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/size][/size][/td][td][size=100][/size][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle k and circle p. [br](point I & point H)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point A [i]and through point C[/i]. (circle g)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]12[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line IH[/i]. (line J)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][/table][br][table][tr][td][size=100]6.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point C [i]and through point A[/i]. (circle h)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][size=100][br][/size][/td][td]13.[br][/td][td][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/size][/size][/td][td][size=100][/size][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] the intersection of line f and line i. (point J) [/i][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size] [br][/td][/tr][tr][td][size=100]7.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle g and circle h. [br](point G & point F)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100][/size][/td][td][size=100][/size][/td][td][size=100][size=100][/size][/size][/td][/tr][/table]
Task:
Construct the circumcenter of triangle ABC by following the construction steps provided above the blank worksheet.
Question:
Are line DE, line GF, and line IH always concurrent? (Move points A, B, and C to change the triangle and check your answer.)
Explore the construction of the circumcenter and its relationship with the triangle.
Here is the finished construction
Close

Information: Circumcenter Construction