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Does the centroid of a lamina coincides with the intersection of the diagonals of a rectangle?
Only if the lamina is the same shape as the rectangle!
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.
Why is the angle bisector of an isosceles triangle also Euler's line?
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
What does you have 2 pairs of equal adjacent sides mean?
-- "Adjacent" means two sides that meet at the same point. -- "Equal" means they have the same length. -- "Pair" means both of them taken together. -- "2 pairs" means there are two separate groups of same-length sides that meet at the same point. -- The whole statement means that you are a "kite" shape.
If Jax drew a line through point A and point B. Chris also drew a line through the two points. Which statement is true?
The statement that is true is that both Jax and Chris drew the same line through points A and B. In geometry, a line is defined by two points, so if both individuals drew a line passing through the same two points, it means they have drawn the same line. This is a fundamental concept in geometry where a line is uniquely determined by two distinct points.
Can the orthocenter incenter centroid and circumcenter of a triangle all meet at the same point?
Yes, but only in an equilateral triangle.
What is the orthocenter of a triangle?
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
Is median and circumcenter the same?
no
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
How to find the the circumcenter of a triangle?
The circumcenter of a triangle is the center of a circle who's radius touches all three of the triangle's vertices. The circumcenter can be found using the intersection of 2 or more perpendicular bisectors. A bisector is a line perpendicular from the mid point of a triangle's line segment.To find the circumcenter of a triangle, create two bisectors by following these steps:StepsWith a compass, draw a circle from the first point in the triangle larger then the triangle.Draw the same size circle from point two.Draw the same size circle from point three.Draw a line from the two intersecting points of circle one and two.Draw a line from the two intersecting points of circle two and three.The intersection of the lines from step 4 and 5 will define the circumcenter of the triangle.
How do you find the the centroid of a triangle?
You simply find the midpoint of each side of the triangle, then you draw a line connecting the midpoints to their opposite corners of the triangle. The intersection of these points will occur at the same point: the centroid.
What is the same distance from two or more objects called?
The point equidistant from two or more objects is called the centroid.
Can the incenter and the circumcenter of a triangle ever be the same point?
Yes. The two points will be the same when it is a regular triangle (all 3 sides are the same length, all three angles are 60 degrees)
what- the circumcenter C of DEF?
The distance from C to the midpoint of each side is the same.
How does the center of gravity relate to a centroid?
They are two words that mean the same thing
Are the steps of constructing centroid incentre circumcentre and orthocentre of different triangles same?
Yes.The steps are the same.
Does the centroid of a lamina coincides with the intersection of the diagonals of a rectangle?
Only if the lamina is the same shape as the rectangle!
