Illustrative Mathematics - Geometry - Unit 6 - Lesson 16

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Last updated about 1 year ago

8 Questions

Triangle ABC and its medians are shown.

Select all statements that are true.

The medians intersect at (\frac{1}{3},2).

The medians and altitudes are the same for this triangle.

An equation for median AE is y=\frac{6}{7}(x+2).

Point G is \frac{2}{3} of the way from A to E.

Median BF is congruent to median CD.

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

Triangle ABC has vertices at (-2,0),(-1,6) and (6,0). 

What is the point of intersection of the triangle’s medians?

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

Triangle EFG and its medians are shown.

Match each pair of segments with the ratios of their lengths.

		1:1
		1:2
		2:1

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

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

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

Graph the image of quadrilateral ABCD under a dilation using center A and scale factor 

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

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.

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

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.

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

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

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/16/index.html ; accessed 29/July/2021.

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