Homework: pg. 412 #s 10-32, 35
10. 29
11. 25
12. 29
13. 14 ½
14. 31.5
15. measure of angle VWX = 132; measure of angle WYX = 66
16. Step 1: use the distance formula to find the length of each diagonal
PR = QS = Sqrt(146)
Step 2: find the slope and see if the two slopes are perpendicular to each other.
Slope of PR = -5/11
Slope of QS = 11/5
They are indeed perpendicular
Step 3: Find the midpoint of each diagonals
PR = QS (3/2, -5/2)
The diagonals of square PQRS are congruent perpendicular bisectors
******We will learn this more on Tuesday during 6.5
17. RHMB is a rhombus. HB is a diagonal (Given)
MH is congruent to RH (def. of rhombus)
HB bisects angle RHM (Rhombus  each diagonal bisects opp. Angles)
Angle MHX is congruent to angle RHX (def. of angle bisector)
HX is congruent to HX (reflective property)
Triangle MHX is congruent to Triangle RHS (SAS)
Angle HMX is congruent to angle HRX (CPCTC)
18. 1 = 29; 2 = 61; 3 = 90; 4 = 29; 5 = 90
19. 1 = 54; 2 = 36; 3 = 54; 4 = 108; 5 = 72

20. 1 = 90; 2 = 45; 3 = 45; 4 = 45; 5 = 45
21. 1 = 126; 2 = 27; 3 = 27 ; 4 = 126 ; 5 = 27
22. 1 = 55; 2 = 55; 3 = 55 ; 4 = 70; 5 = 55
23. 1 = 64; 2 = 64; 3 = 26; 4 = 90; 5 = 64
24. Always
25. Sometimes
26. Sometimes
27. Sometimes
28. Always
29. Always
30. Always
31. Sometimes
32. No, a rhombus is equilateral but not equiangular. A rectangle is equiangular but not equilateral
35. a. Rectangle  parallelogram b. HG c. Reflexive property of congruence d. Def. of rectangle e. Angle GHE f. SAS g. CPCTC