Lesson 1 Go the Distance Develop Understanding

Ready

1.

The equation of the line in the graph is $y = x$ .

On the same grid, graph a parallel line that is $3$ units above it.
Write the equation for the new line in slope-intercept form.
Write the $y$ -intercept of the new line as an ordered pair.
Write the $x$ -intercept of the new line as an ordered pair.
Write the equation of the new line in point-slope form using the $y$ -intercept.
Write the equation of the new line in point-slope form using the $x$ -intercept.
Explain how the equations are the same.

2.

The equation of the line in the graph is $y = - 2 x$ .

On the same grid, graph a parallel line that is $4$ units below it.
Write the equation for the new line in slope-intercept form.
Write the $y$ -intercept of the new line as an ordered pair.
Write the $x$ -intercept of the new line as an ordered pair.
Write the equation of the new line in point-slope form using the $y$ -intercept.
Write the equation of the new line in point-slope form using the $x$ -intercept.
Explain how the equations are the same.

3.

The equation of the line in the graph is $y = \frac{1}{4} x$ .

On the same grid, graph a parallel line that is $2$ units below it.
Write the equation for the new line in slope-intercept form.
Write the $y$ -intercept of the new line as an ordered pair.
Write the $x$ -intercept of the new line as an ordered pair.
Write the equation of the new line in point-slope form using the $y$ -intercept.
Write the equation of the new line in point-slope form using the $x$ -intercept.
Explain how the equations are the same.

Set

4.

Find the exact perimeter of $△ A B C$ . On which segment did you need to use the distance formula?

5.

Find the exact perimeter of $△ D E F$ .

6.

Find the exact perimeter of parallelogram $A B C D$ .

7.

Find the exact perimeter of the quadrilateral.

Go

Use the given information to fill in the missing coordinates. Then find the length of the indicated line segment.

8.

Find $H D$ .

9.

Find $D A$ .