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Triangle \(ABC\) and its medians are shown.
Select all statements that are true.
The medians intersect at \(\left(\frac{1}{3}, 2\right)\).
The medians and altitudes are the same for this triangle.
An equation for median \(AE\) is \(y=\frac{6}{7}(x+2)\).
Point \(G\) is \(\frac{2}{3}\) of the way from \(A\) to \(E\).
Median \(BF\) is congruent to median \(CD\).
Triangle \(EFG\) and its medians are shown.
Match each pair of segments with the ratios of their lengths.
\(GK:KJ\)
\(GH:HF\)
\(HK:KE\)
\(1:1\)
\(1:2\)
\(2:1\)
Graph the image of quadrilateral \(ABCD\) under a dilation using center \(A\) and scale factor \(\frac{1}{3}\).
Here are the graphs of the circle centered at \((0,0)\) with radius 6 units and the line given by \(2x+y=11\). Determine whether the circle and the line intersect at the point \((3,5)\). Explain or show your reasoning.