Lesson 1 Go the Distance Develop Understanding

Ready

Points $A$ and $B$ are graphed in the coordinate plane. Graph and label the new points on the same grid.

a. Rotate $A$ $90 °$ counterclockwise about the origin, and label the new coordinates. The new point is $A^{'}$ .

b. Compare the new coordinates of $A^{'}$ with the coordinates of $A$ .

c. Rotate point $A$ $90 °$ clockwise about the origin, and label the new coordinates. The new point is $A^{″}$ .

d. Compare the new coordinates of $A^{″}$ with the coordinates of $A$ .

e. Rotate point $B$ $90 °$ counterclockwise about the origin, and label the new coordinates. The new point is $B^{'}$ .

f. Compare the new coordinates of $B^{'}$ with the coordinates of $B$ .

g. Rotate point $B$ $90 °$ clockwise about the origin, and label the new coordinates. The new point is $B^{″}$ .

h. Compare the new coordinates of $B^{″}$ with the coordinates of $B$ .

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

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

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

Find the exact perimeter of the quadrilateral.

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

Find $H D$ .

Find $D A$ .