IM Geo.6.15 Practice: Weighted Averages

[size=150]Consider the parallelogram with vertices at [math]\left(0,0\right)[/math], [math]\left(4,0\right)[/math], [math]\left(2,3\right)[/math], and [math]\left(6,3\right)[/math]. Where do the diagonals of this parallelogram intersect?[/size]
[size=150]What is the midpoint of the line segment with endpoints [math]\left(1,-2\right)[/math] and [math]\left(9,8\right)[/math]?[/size]
[size=150]Graph the image of triangle [math]ABC[/math] under a dilation with center [math]A[/math] and scale factor [math]\frac{2}{3}[/math].[/size]
[size=150]A quadrilateral has vertices [math]A=\left(0,0\right)[/math], [math]B=\left(2,4\right)[/math], [math]C=\left(0,5\right)[/math], and [math]D=\left(-2,1\right)[/math]. Prove that [math]ABCD[/math] is a rectangle. You may use the applet below to help you.[/size][br]
[size=150]A quadrilateral has vertices [math]A=\left(0,0\right)[/math], [math]B=\left(1,3\right)[/math], [math]C=\left(0,4\right)[/math], and [math]D=\left(-1,1\right)[/math]. [/size][br][br]Select the most precise classification for quadrilateral [math]ABCD[/math].
[size=150]Write an equation whose graph is a line perpendicular to the graph of [math]x=-7[/math] and which passes through the point [math]\left(-7,1\right)[/math].[/size]
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 [math](\text{-}2,5)[/math] point on the list is on this parabola. Explain your reasoning.[br]
Decide whether [math](2,3)[/math] point on the list is on this parabola. Explain your reasoning.
Decide whether [math](6,6)[/math] point on the list is on this parabola. Explain your reasoning.
Close

Information: IM Geo.6.15 Practice: Weighted Averages