1.1.5 Distance and Midpoint Formulas

By the end of this playlist I can...
...use the distance formula to find the length of a segment given the coordinates of its endpoints
...use the midpoint formula to find the midpoint of a segment given the coordinates of its endpoints

1

I've completed the video or mini-lesson on an example using the distance formula.

1

I've completed the video or mini-lesson on deriving the distance formula.

1

I’ve completed the practice problems on finding the distance between 2 points, and feel confident that I know how to solve them.
copy and paste into a new tab: https://www.khanacademy.org/math/geometry-home/geometry-pythagorean-theorem/pyth-theor/e/distance_formula

1

Challenge (optional): I’ve completed the practice problems on finding the minimum distance between a point and a line and feel confident that I know how to solve them.
copy and paste into a new tab: https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/distance-between-a-point-and-a-line/e/distance_between_point_and_line

1

I've completed the video or mini-lesson on the midpoint formula.

1

I’ve completed the practice problems on using the midpoint formula and feel confident that I know how to solve them.

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/e/midpoint_formula

Triangle SRA is shown below. Use this to answer each of the following questions.
Express answers in simplest form, including simplifying radicals if necessary.
Use sqrt() for radical answers.
For example: if your answer is 
you would enter: 3sqrt(5)

10

SA =

10

AR =

10

RS =

1

Which describe triangle is SRA? check all that apply.

10

What are the coordinates of the midpoint of line segment SA?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

10

What are the coordinates of the midpoint of line segment RA?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

10

What are the coordinates of the midpoint of line segment RS?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

I've completed the video or mini-lesson on an example using the distance formula.

I've completed the video or mini-lesson on deriving the distance formula.

I’ve completed the practice problems on finding the distance between 2 points, and feel confident that I know how to solve them.copy and paste into a new tab: https://www.khanacademy.org/math/geometry-home/geometry-pythagorean-theorem/pyth-theor/e/distance_formula

I've completed the video or mini-lesson on the midpoint formula.

I’ve completed the practice problems on using the midpoint formula and feel confident that I know how to solve them.copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/e/midpoint_formula

SA =

AR =

RS =

Which describe triangle is SRA? check all that apply.

What are the coordinates of the midpoint of line segment SA?To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

What are the coordinates of the midpoint of line segment RA?To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

What are the coordinates of the midpoint of line segment RS?To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

I’ve completed the practice problems on finding the distance between 2 points, and feel confident that I know how to solve them.
copy and paste into a new tab: https://www.khanacademy.org/math/geometry-home/geometry-pythagorean-theorem/pyth-theor/e/distance_formula

I’ve completed the practice problems on using the midpoint formula and feel confident that I know how to solve them.

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/e/midpoint_formula

What are the coordinates of the midpoint of line segment SA?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

What are the coordinates of the midpoint of line segment RA?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.

What are the coordinates of the midpoint of line segment RS?

To input coordinates, use parentheses. For example type (-2,5) and not -2, 5. If your answers are not integers, used decimals rather than fractions.