Illustrative Mathematics - Geometry - Unit 6 - Lesson 10 - Formative Library | Library

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Select all equations that are parallel to the line 2x+5y=8.

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Prove that ABCD is not a parallelogram.

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Write an equation of a line that passes through (-1,2) and is parallel to a line with x-intercept (3,0) and y-intercept (0,1).

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Write an equation of the line with slope \frac{2}{3} that goes through the point (-2,5).

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Priya and Han each wrote an equation of a line with slope \frac{1}{3} that passes through the point (1,2). Priya’s equation is y-2=\frac{1}{3}(x-1) and Han’s equation is 3y-x=5.

Do you agree with either of them? Explain or show your reasoning.

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Match each equation with another equation whose graph is the same parabola.

Draggable item		Corresponding Item
(x-3)^{2}+(y-4)^{2}=(y+2)^{2}		y=\frac{1}{8}(x-2)^{2}
(x-2)^{2}+(y-2)^{2}=(y+2)^{2}		y=\frac{1}{12}(x-2)^{2}
(x-3)^{2}+(y-2)^{2}=y^{2}		y=\frac{1}{4}(x-3)^{2}+1
(x-2)^{2}+(y-3)^{2}=(y+3)^{2}		y=\frac{1}{12}(x-3)^{2}+1

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A parabola is defined as the set of points the same distance from (-1,3) and the line y=5.

Select the point that is on this parabola.

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This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 10. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/10/index.html ; accessed 29/July/2021.

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Illustrative Mathematics - Geometry - Unit 6 - Lesson 10

Illustrative Mathematics - Geometry - Unit 6 - Lesson 10

Select all equations that are parallel to the line 2x+5y=8.

Prove that ABCD is not a parallelogram.

Write an equation of a line that passes through (-1,2) and is parallel to a line with x-intercept (3,0) and y-intercept (0,1).

Write an equation of the line with slope \frac{2}{3} that goes through the point (-2,5).

Priya and Han each wrote an equation of a line with slope \frac{1}{3} that passes through the point (1,2). Priya’s equation is y-2=\frac{1}{3}(x-1) and Han’s equation is 3y-x=5. Do you agree with either of them? Explain or show your reasoning.

Match each equation with another equation whose graph is the same parabola.

A parabola is defined as the set of points the same distance from (-1,3) and the line y=5. Select the point that is on this parabola.

Select all equations that are parallel to the line 2x+5y=8.

Prove that ABCD is not a parallelogram.

Write an equation of a line that passes through (-1,2) and is parallel to a line with x-intercept (3,0) and y-intercept (0,1).

Write an equation of the line with slope \frac{2}{3} that goes through the point (-2,5).

Priya and Han each wrote an equation of a line with slope \frac{1}{3} that passes through the point (1,2). Priya’s equation is y-2=\frac{1}{3}(x-1) and Han’s equation is 3y-x=5. Do you agree with either of them? Explain or show your reasoning.

Match each equation with another equation whose graph is the same parabola.

A parabola is defined as the set of points the same distance from (-1,3) and the line y=5. Select the point that is on this parabola.

Priya and Han each wrote an equation of a line with slope \frac{1}{3} that passes through the point (1,2). Priya’s equation is y-2=\frac{1}{3}(x-1) and Han’s equation is 3y-x=5.

Do you agree with either of them? Explain or show your reasoning.

A parabola is defined as the set of points the same distance from (-1,3) and the line y=5.

Select the point that is on this parabola.

Priya and Han each wrote an equation of a line with slope \frac{1}{3} that passes through the point (1,2). Priya’s equation is y-2=\frac{1}{3}(x-1) and Han’s equation is 3y-x=5.

Do you agree with either of them? Explain or show your reasoning.

A parabola is defined as the set of points the same distance from (-1,3) and the line y=5.

Select the point that is on this parabola.