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the centroid is the balance point of the triangle
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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.
