IM Geo.6.16 Lesson: Weighted Averages in a Triangle

Triangle ABC is graphed. Find the midpoint of each side of this triangle.
[size=150]Your teacher will tell you how to draw and label the [b]medians [/b]of the triangle in the warm-up.[br][size=100][br]After the medians are drawn and labeled, measure all 6 segments inside the triangle using centimeters. [/size][/size]What is the ratio of the 2 parts of each median?[br]
Find the coordinates of the point that partitions segment [math]AN[/math] in a [math]2:1[/math] ratio.[br]
Find the coordinates of the point that partitions segment [math]BL[/math] in a [math]2:1[/math] ratio.[br]
Find the coordinates of the point that partitions segment [math]CM[/math] in a [math]2:1[/math] ratio.[br]
In the image, AB is a median.
Find the length of [math]AB[/math] in terms of [math]a[/math], [math]b[/math], and [math]c[/math].
[size=150]The goal is to prove that the medians of any triangle intersect at a point. Suppose the vertices of a triangle are [math]\left(0,0\right)[/math], [math]\left(w,0\right)[/math], and [math]\left(a,b\right)[/math].[/size][br][br]Each student in the group should choose 1 side of the triangle. If your group has 4 people, 2 can work together. Write an expression for the midpoint of the side you chose.[br]
Each student in the group should choose a median. Write an expression for the point that partitions each median in a [math]2:1[/math] ratio from the vertex to the midpoint of the opposite side.[br]
Compare the coordinates of the point you found to those of your groupmates. What do you notice?[br]
Explain how these steps prove that the 3 medians of any triangle intersect at a single point.[br]

IM Geo.6.16 Practice: Weighted Averages in a triangle

Triangle ABC and its medians are shown.
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[/img][br][br]Select [b]all[/b] statements that are true.
[size=150]Triangle [math]ABC[/math] has vertices at [math]\left(-2,0\right)[/math], [math]\left(-1,6\right)[/math], and [math]\left(6,0\right)[/math].[/size][size=150]What is the point of intersection of the triangle’s medians?[/size]
Triangle [math]EFG[/math] and its medians are shown.[br][img]data:image/png;base64,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[/img][br][br][size=150]Match each pair of segments with the ratios of their lengths.[/size][br][br][math]GK:KJ[/math]
[math]GH:HF[/math]
[math]HK:KE[/math]
[size=150]Given [math]A=\left(-3,2\right)[/math] and [math]B=\left(7,-10\right)[/math], find the point that partitions segment [math]AB[/math] in a [math]1:4[/math] ratio.[/size]
[size=150]Graph the image of quadrilateral [math]ABCD[/math] under a dilation using center [math]A[/math] and scale factor [math]\frac{1}{3}[/math].[/size]
[size=150]A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral formed by the vertices [math]\left(0,0\right)[/math], [math]\left(5,2\right)[/math], [math]\left(10,10\right)[/math], and [math]\left(0,6\right)[/math] is a trapezoid.[/size]
[size=150]Here are the graphs of the circle centered at [math]\left(0,0\right)[/math] with radius 6 units and the line given by [math]2x+y=11[/math].[br][br][/size][img]data:image/png;base64,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[/img][br][br]Determine whether the circle and the line intersect at the point [math]\left(3,5\right)[/math]. Explain or show your reasoning.
[size=150]A parabola has focus [math]\left(-3,2\right)[/math] and directrix [math]y=-3[/math]. The point [math]\left(a,5\right)[/math] is on the parabola.[/size][size=150]How far is this point from the focus?[/size]

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