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what is the first step in constructing a circumscribed circle around triangle xyz

by Daphney Gutmann I Published 3 years ago Updated 2 years ago
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Now, the steps which are required to construct a circumcircle around a triangle are :

  • A construct a triangle of given dimensions.
  • Name the triangle XYZ
  • Draw a perpendicular bisector of XY.
  • Draw a perpendicular bisector of YZ. The point of intersection is circumcenter. Name it as O.

Consider a triangle XYZ. To construct the center of triangle XYZ known as the circumcenter, the first step is to construct the perpendicular bisector of each side of the triangle. The point at the intersection of the perpendicular bisectors is the circumcenter.

Full Answer

How to draw circumscribed circle?

Circumscribe: To draw on the outside of, just touching the corner points but never crossing. Steps: Construct the perpendicular bisectorof one side of triangle Construct the perpendicular bisector of another side Where they cross is the center of the Circumscribed circle

How do you circumscribe a triangle in geometry?

Where these perpendicular lines meet the sides of the triangle is where the circle touches the triangle. In the fourth step, you take your compass and you draw your circle from the center so that it touches the triangle where the perpendicular lines cross each side of the triangle. And there you have your circumscribed triangle.

What is the construction of the circumcenter of a triangle?

The construction first establishes the circumcenter and then draws the circle. circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. This page shows how to construct (draw) the circumcircle of a triangle with compass and straightedge or ruler.

What are inscribed and circumscribed triangles?

Inscribed triangles appear with a triangle inside a circle, and circumscribed triangles have a circle inside their boundary. See examples of inscribed and circumscribed triangles, and follow the steps using a ruler and compass to learn to construct both types of triangles correctly. Updated: 11/10/2021

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How to circumscribe a circle on a triangle?

Circumscribe: To draw on the outside of, just touching the corner points but never crossing. Construct the perpendicular bisector of another side. Where they cross is the center of the Circumscribed circle. Place compass on the center point, adjust its length to reach any corner of the triangle, ...

How to draw a circumscribed circle?

Where they cross is the center of the Circumscribed circle. Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

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1.What is the first step in constructing a circumscribed …

Url:https://brainly.com/question/17001371

15 hours ago Steps on How to Construct a Circle Circumscribed About a Triangle. Step 1: Draw the triangle and any additional given data. Step 2: Pick two perpendicular bisectors that are easiest to …

2.What is the first step in constructing a circumscribed …

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36 hours ago Steps: Construct the perpendicular bisector of one side of triangle; Construct the perpendicular bisector of another side; Where they cross is the center of the Circumscribed circle; Place …

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4.Circumscribe a Circle on a Triangle Construction

Url:https://www.mathsisfun.com/geometry/construct-trianglecircum.html

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