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Q: What is a circle which passes through all the vertices of a triangle?
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What is the point where the angle bisectors meet?

The circumcenter also called incenter. Whichever one you like the best out of these 2.* * * * *Not true!It is the incentre. The circumcentre is where the perpendicular bisectors of the sides meet.Using the incentre as centre, you can draw a circle to which all three sides of the triangle are tangents. The circle is the biggest circle that will fit IN the triangle.Using the circumcentre as centre, you can draw a circle which passes through all three vertices of the triangle. The circle is the smallest circle that will contain (circumscribe) the triangle.


What is a segment that passes through the center of a circle and has both endpoints on the circle?

A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.


What do a triangle and a hexagon have in common?

Both are polygonsBoth have three or more sidesBoth have vertices-- answer --They have sides and angles.They have 3x sides and 3x angles: for a triangle x = 1, for a hexagon, x = 2If their sides are all the same length, a circle can be described which passes through all their angles.They are both polygons. Anything more depends on the exact nature of the figures.


What is a line that passes through the center of a circle?

Any line that passes through a circle and touches two points on its circumference is a secant line. (Recall that a line is infinitely long.) If the line passes through the center of the circle, it is still called a secant line. Compare this to a line segment that has its endpoints on the circumference of the circle. That line segment is called the cord of the circle. If that cord passes through the center of the circle, it is a diameter of the circle, which is the longest cord of that circle.


Does a secant tangent angle pass through the center of the circle?

Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.