1. Warm Up 1.) In ABCD, m ∠ A = 3x + 15 and m ∠ C = 5x – 17. What is the value of x? 2.) In KJLM, KJ = 10y – 5 and LM = -6y + 27. What is the value of y?

2. 6.4 Rhombuses, Rectangles, and Squares

3. Rectangle: A parallelogram that is equiangular

7. Rhombus: A parallelogram that is equilateral

11. Square: A parallelogram that is equilateral and equiangular

15. Parallelogram RectangleRhombus Square

16. Always, Sometimes, Never 1.) A square is a rectangle. 2.) A rhombus is a square. 4.) A parallelogram is a rhombus. 3.) A rectangle is a rhombus. Always Sometimes 5.) A rectangle is a parallelogram.Always

17. Warm Up - What shape am I? 1) I am a quadrilateral with 4 right angles. 2) I am a quadrilateral with opposite side congruent. 3) I am a quadrilateral with diagonals congruent and perpendicular. 4) I am a quadrilateral with 4 congruent sides.

18. Ex. 1 EFGH is a rectangle. K is the midpoint of FH. If EG = 8z – 16, what is the length of EK? GK? Hint: Draw a picture to organize the info.

19. Ex. 2 ABCD is a square and m ∠ B = 8x + 26. What is the value of x? Hint: Draw a picture to organize the info.

20. Rectangle

21. Ex. 4 In RSTV, the diagonals form a pair of congruent angles at each vertex. What shape am I? Hint: Draw a picture to organize the info. Rhombus