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IM Geo.6.15 Practice: Weighted Averages

Consider the parallelogram with vertices at , , , and . Where do the diagonals of this parallelogram intersect?

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What is the midpoint of the line segment with endpoints  and ?

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Graph the image of triangle  under a dilation with center  and scale factor .

A quadrilateral has vertices , , , and . Prove that  is a rectangle. You may use the applet below to help you.

A quadrilateral has vertices , , , and . Select the most precise classification for quadrilateral .

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Write an equation whose graph is a line perpendicular to the graph of  and which passes through the point .

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 point on the list is on this parabola. Explain your reasoning.

Decide whether point on the list is on this parabola. Explain your reasoning.

Decide whether point on the list is on this parabola. Explain your reasoning.