1.1.5 Distance and Midpoint Formulas

by Jason Appel

| 13 QuestionsNote from the author:

Playlist

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

1

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

True

False

2

1

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

True

False

3

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

True

False

4

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

True

False

5

1

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

True

False

6

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

True

False

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)

7

8

9

10

11

12

13

7

10

SA =

8

10

AR =

9

10

RS =

10

1

Which describe triangle is SRA? check all that apply.

scalene

isosceles

equilateral

right

obtuse

acute

11

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.

12

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.

13

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.

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