1. Unit 9 – M1F

2.  Good Morning!! As you walk in, please pick up your calculator and begin working on your warm-up! 1. Put the following equation in slope intercept equation: 4y + 12x = 36 2. Given the following equations, are the lines parallel, perpendicular, or neither? y = 5x + 7 and 6y – 30x = 15 3. Given the equation, y = -3/2x + 17, what is the corresponding perpendicular equation?

3.  What is a quadrilateral? A polygon that has exactly 4 sides  We can classify quadrilaterals by sides and angles

5. Kite Definition: A quadrilateral with 2 distinct pairs of adjacent congruent sides Shape: Side Properties: Two pairs of Congruent Sides Angle Properties: non – vertex angles are congruent

6. Trapezoid Definition: A quadrilateral with exactly one pair of parallel sides. Shape: Side Properties: The two parallel sides are called bases. Angle Properties: Consecutive angles between the bases are supplementary.

7. Isosceles Trapezoid Definition: A trapezoid with two congruent legs Shape: Side Properties: Non - parallel sides are congruent Angle Properties: Both sets of base angles are congruent

8. Parallelogram Definition: A quadrilateral with two sets of parallel sides Shape: Side Properties: Opposite sides are congruent Angle Properties: Opposite angles are congruent Adjacent angles are supplementary

9. Rhombus Definition: An equilateral parallelogram Shape: Side Properties: All sides congruent Angle Properties: Opposite angles are congruent, adjacent angles supplementary

10. Rectangle Definition: An equiangular parallelogram Shape: Side Properties: opposite sides are congruent Angle Properties: All angles are congruent (90°)

11. Square Definition: An equilateral, equiangular parallelogram Shape: Side Properties: All sides are congruent Angle Properties: All angles are congruent

12. Now lets fill in the following flow chart! Drag them to the correct spots! Trapezoid Parallelogram Isosceles Trapezoid Square RectangleRhombus Kite Quadrilateral

13. Name the shape as specifically as possible. Name all the possible quadrilaterals described by the statements. 1. has four right angles 2. has four sides 3. has only one pair of congruent sides 4. has two pairs of congruent sides 5. has all adjacent sides perpendicular 6. has two pairs of parallel sides 7. has all four sides congruent 8. has no parallel sides 9. has exactly one pair of parallel sides Determine whether the following statements are true or false. 10. A square is always a rectangle. 11. An isosceles trapezoid is always a quadrilateral. 12. A rectangle is always a trapezoid. 13. A rectangle can never be a rhombus. 14. A kite is a rhombus. 15. A rhombus is always a parallelogram.