1. Unit 3 Geometry Gallery Properties of Special Quadrilaterals (Rectangle, Rhombus, Square) Sections 5.10, 5.12 Standards: MM1G3d Understand, use, and prove properties of and relationships among special quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and kite.

2. Rectangle A parallelogram with 4 Right Angles. Properties: All the properties of a parallelogram. Diagonals are Congruent. Equiangular.

3. Rhombus A parallelogram with 4 Congruent Sides. Properties: All the properties of a parallelogram. Diagonals are Perpendicular. Diagonals Bisect the pairs of opposite angles. Equilateral.

4. Square A Rectangle with 4 Congruent Sides A Rhombus with 4 Right Angles. Properties: All the properties of a Rectangle. All the properties of a Rhombus.

5. (Ex 1) Properties of Quadrilaterals Sometimes, Always, Never???? 1. A rectangle is ________a square. 2. A square is ________a rhombus. 3. A rhombus is ________a rectangle. 4. A parallelogram is ________a rectangle.

6. (Ex 2) Remember Parallelograms: Solve for x and y in the following parallelograms. A) B) X = ______ Y = ______ X = ______ Y = ______ 2x + 1 21 7 2y - 3 42º2xº 7yº

7. (Ex 3) EFGH is a rectangle. K is the midpoint of FH. IF EG = 28, what is EK? GK? FH? EK_____ GK_____ FH_____ K E H F G

8. (Ex 4)The m<B = 8x+26. Find the value of x. Checkpoint: AC = 6z + 24, BD = 8z – 12. Find z. Find the length of AC and BD. z=_____ AC_____ BD_____ A D B C

9. (Ex 5) PQRS is a rhombus. Find the values of the variables. x= y= z= S PQ R 2y + 3 5y - 6 120º xº3zº

10. (Ex 6) JKLM is a rhombus. Find the indicated measure. a) JL = _____ b) MT = _____ c) m<JTK = _____ d) x = _____ L KJ M T 20 2xº 65º 12-n 2n

11. (Ex 7) TUVW is a Square. Find the indicated measure. a) p = _____ b) TU ____ c) UW _____ T U WV 4(p+3) 24

12. Assignment p. 319 #7-19 (all), 21, 23, 25-27