1. Warm Up Find the slope and distance between the points: 1. A(3,-2) B(-4,-9) 2. C(0,-3) D(2,-4)

2. COORDINATE SHAPES Section 6.5

3. Show that quadrilateral JKLM is a parallelogram. J(–1, –6), K(–4, –1), L(4, 5), M(7, 0).

4. Show that quadrilateral ABCD is a parallelogram. A(2, 3), B(6, 2), C(5, 0), D(1, 1).

5. Use the definition of a parallelogram to show that the quadrilateral with vertices K(–3, 0), L(–5, 7), M(3, 5), and N(5, –2) is a parallelogram.

6. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. P(–1, 4), Q(2, 6), R(4, 3), S(1, 1)

7. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. W(0, 1), X(4, 2), Y(3, –2), Z(–1, –3)

8. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. K(–5, –1), L(–2, 4), M(3, 1), N(0, –4)

9. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. P(5,-1), Q(8,2), R(11,10), S(8,7)

10. Use the diagonals to determine whether a parallelogram with vertices A(9,-4), B(8,-2), C(2,-5), and D(3,-7) is a rectangle, rhombus, or square. Give all the names that apply.