What is the midpoint of the line segment with endpoints \((1,\text-2)\) and \((9,8)\)?

Graph the image of triangle \(ABC\) under a dilation with center \(A\) and a scale factor of \(\frac{2}{3}\).

A quadrilateral has vertices \(A(0,0), B(2,4), C(0,5),\) and \(D(\text-2,1)\). Prove that \(ABCD\) is a rectangle.

A quadrilateral has vertices \(A(0,0), B(1,3), C(0,4),\) and \(D(\text-1,1)\). Select the most precise classification for quadrilateral \(ABCD\).

Write an equation whose graph is a line perpendicular to the graph of \(x=\text-7\) and which passes through the point \((\text-7,1)\).

Graph the equations \((x+1)^2+(y-1)^2=64\) and \(y = 1\). Where do they intersect?

A parabola has a focus of \((2, 5)\) and a directrix of \(y=1\). Decide whether each point on the list is on this parabola. Explain your reasoning.

1. \((\text{-}1,5)\)
2. \((2 ,3)\)
3. \((6,6)\)