Illustrative Mathematics - Geometry - Unit 6 - Lesson 16 - Formative Library | Library

1.

Triangle ABC and its medians are shown.

Select all statements that are true.

G.GPE.4

G.GPE.5

G.GPE.6

G.CO.10

N.Q.1

2.

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

3.

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

4.

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

5.

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

6.

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

7.

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

8.

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?

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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Illustrative Mathematics - Geometry - Unit 6 - Lesson 16

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

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.

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

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

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.

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.

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?

Triangle ABC and its medians are shown.

Select all statements that are true.

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.

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.