Geometry | Unit 6 | Lesson 16: Weighted Averages in a Triangle | Practice Problems

Triangle ABC and its medians are shown. Select all statements that are true.

• The medians intersect at (1/3, 2).

• The medians and altitudes are the same for this triangle.

• An equation for median AE is y=6/7(x+2).

• Point G is 2/3 of the way from A to E.

• Median BF is congruent to median CD.

Tags

CCSS.HSG.CO.C.10

Triangle ABC has vertices at (-2,0), (-1,6), and (6,0). What is the point of intersection of the triangle’s medians?

Triangle EFG and its medians are shown. Match each pair of segments with the ratios of their lengths.

• 1:2

• 1:1

• HK:KE

• GH:HF

• GK:KJ

Tags

CCSS.HSG.CO.C.10

Given A=(-3,2) and B=(7,-10), find the point that partitions segment AB in a 1:4 ratio.

Tags

CCSS.HSG.GPE.B.6

Graph the image of quadrilateral ABCD under a dilation using center A and scale factor 1/3.

Tags

CCSS.8.G.A.3

A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral formed by the vertices (0,0), (5,2), (10,10), and (0,6) is a trapezoid.

Tags

CCSS.6.G.A.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.

Tags

CCSS.8.EE.C.8B

A parabola has focus (-3,2) and directrix y=-3. The point (a,5) is on the parabola. How far is this point from the focus?

• 8 units

• 5 units

• 3 units

• 2 units

Tags

CCSS.HSG.GPE.A.2