IM Geo.6.16 Practice: Weighted Averages in a triangle
Triangle ABC and its medians are shown.
Select all statements that are true.
Triangle has vertices at , , and .What is the point of intersection of the triangle’s medians?
Triangle and its medians are shown.
Match each pair of segments with the ratios of their lengths.
Given and , find the point that partitions segment in a ratio.
A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral formed by the vertices , , , and is a trapezoid.
Here are the graphs of the circle centered at with radius 6 units and the line given by .
Determine whether the circle and the line intersect at the point . Explain or show your reasoning.
A parabola has focus and directrix . The point is on the parabola.How far is this point from the focus?