Geometry: Review-3.1 to 3.4
Name_________________________________________
Answer each question. You must show all work.
Does the figure have reflectional symmetry? (draw in the lines) Rotational symmetry? (What is the degree of rotation?)
1.
2.
3.
4. Which quadrilaterals have congruent diagonals?____________________________________________________
5. Which quadrilaterals have perpendicular diagonals?_________________________________________________
Determine whether each shape is a polygon. If yes, give the name of the polygon.
6.
7.
8.
9. Define regular polygon__________________________________________________________________________
10. Find the measure of a central angle of a regular hexagon._________________________
11. What is the difference between equilateral and equiangular?____________________________________________
_________________________________________________________________________________________________
EFGH is a parallelogram with m<EFG = 120, m<EHF = 54, EF = 10, FO = 7. Find each missing measure.
12. m<EHG = _________
13. GH = _________
14. m<FHG = _________
15. HO = ____________
16. FH = _________
17. m<GFH = _________
JKLM is a rectangle with JL = 12 and m<JKM = 75. Find the missing measures.
18. OL = ____________
19. m<MKL = _______ 20. KM = ___________
21. m<KMJ = __________
22. m<JML = _______ 23. OM = ___________
Based on the given figure, identify the type of special angle pair.
24. <4 and <5__________________________ 25. <2 and <6__________________________
26. <3 and <5__________________________ 27. <5 and <7__________________________
28. <2 and <4__________________________ 29. <1 and <8__________________________
30. If n ll m and m<3 = 53, find the other angles___________________________________________________________
31. If n ll m, then <2
<7 by _________________________________________________________________
32. If n ll m, then <3
<6 by _________________________________________________________________
33. If n ll m, then <6
<7 by_________________________________________________________________
34. If n ll m, then <4
<8 by_________________________________________________________________
35. If n ll m, then m<4 + m<6 = 180 by_________________________________________________________
36. If n ll m, then m<8 + m<6 = 180 by_________________________________________________________
Solve for x.
37.
38.
39.
40. Complete the proof of the Converse of the Alternate Exterior Angles theorem:
Statements
1. <1
<2
2. <1
<3
3. <2
<3
Reasons
4. l ll m
41. Complete the proof.
Statements
1. l ll m
2. <1
<3
3. <1
<2
4. <2
<3
5.a ll b
Reasons