Lesson 1 Go the Distance Develop Understanding

Ready

1.

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

Graph with A(1,2) and B(-3,-1) x–2–2–2222y–2–2–2222000(1, 2)(-3, -1)

a. Rotate counterclockwise about the origin, and label the new coordinates. The new point is .

b. Compare the new coordinates of with the coordinates of .

c. Rotate point clockwise about the origin, and label the new coordinates. The new point is .

d. Compare the new coordinates of with the coordinates of .

e. Rotate point counterclockwise about the origin, and label the new coordinates. The new point is .

f. Compare the new coordinates of with the coordinates of .

g. Rotate point clockwise about the origin, and label the new coordinates. The new point is .

h. Compare the new coordinates of with the coordinates of .

Set

2.

Find the exact perimeter of . On which segment did you need to use the distance formula?

Triangle ABC A(1,4), B(5,1), and C(5,4) x555y555000

3.

Find the exact perimeter of .

Triangle DEF D(0,1), E(5,3), and F(4,1). x222444y222000

4.

Find the exact perimeter of quadrilateral .

Triangle ABCD A(-2,2), B(1,1), C(-2.-2) D(-5,-1). x–4–4–4–2–2–2222y–2–2–2222000

5.

Find the exact perimeter of the quadrilateral.

Quadrilateral with vertices (3,5), (6,6), (5,1), and (1,2) (3, 5)(6, 6)(5, 1)(1, 2)

Go

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

6.

Find .

Rectangle FHBD with missing coordinates xy

7.

Find .

Rectangle ABDE with missing coordinates xy