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What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
The incenter of a triangle is the point equidistant from each side of the triangle?
true
What are the properties of the incenter of a triangle?
The incenter of a triangle is always inside it. The incenter is where all of the bisectors of the angles of the triangle meet. The incenter is equidistant from each side of the triangle
When a circle is drawn through each vertex of a right triangle the triangle's hypotenuse will be equal to?
Its diameter.
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
What are the properties of the circumcenter of a triangle?
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
What are the properties of the circumcenter of a traingle?
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
What are properties of the circumcenter of a triangle?
When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.
The circumcenter of a triangle is equidistant from the three vertices of the triangle?
This is true, by definition. Assume that there is a circle that passes through each vertex of a triangle. Then its centre, which we may call the circumcentre of the triangle, must be at an equal distance from each of the vertices because all of the points of the circle are at the same distance from this point.
What is the purpose of a circumcenter Why do you use it?
Once the circumcenter is found, each segment connecting each point of the triangle to the cirumcenter are equivalent, so you can put something equidistant to 3 places. Like a hospital equidistant to 3 cities.
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
The incenter of a triangle is the point equidistant from each side of the triangle?
true
Where do you use the circumcenter of a triangle in real life?
You could be a community building advisor. The area around you is a triangle, and there are schools at each vertex. You want to find out where to put the bus station so that there is equal distance from all the schools to the bus station. Does that help
Where would a circumcenter of a circle be found?
The circumcenter of a triangle is the point of intersection of three lines drawn at right angles through the midpoints of each side.
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
A triangle is inscribed in another figure if each vertex of the triangle touches that figure?
true
