Geometry Unit 4 Study Guide Part 1 Answer Key
1. 5 sides with all sides and angles congruent (drawings may vary)
2. 8 sides with concave (drawings may vary)
3. x = 115
4. x = 22.5
5. x = 13
6. FH = 9.5 DF = 19
7. mEFG  65, mDEF  115
8. perimeter = 44 (add all 4 sides)
9. No, you are not given information about opposite sides.
10. Yes, opposite sides are congruent.
11. Yes, you can prove triangle PQt and SRT are congruent, therefore, opposite sides are congruent.
12. Yes, consecutive angles are supplementary.
13. x = 9, y = 11
14. x = 30, y = 27, z = 36
15. x = 7, y = 3
16. PO; Opposite sides of parallelogram are congruent
17. PM ; Opposite sides of a parallelogram are congruent
18. QN ; Diagonals of a parallelogram bisect each other
19. PQO; Vertical angles are congruent
20. PO; Opposite sides of a parallelogram are parallel
21. ONM ; Opposite angles of a parallelogram are congruent
22. QO ; Diagonals of a parallelogram bisect each other
23. PNM ; Alternate Interior Angles Theorem
24. 16; Opposite sides of a parallelogram are congruent
25. 8; Diagonals of a parallelogram bisect each other
26. 28 ; Alternate Interior Angles Theorem
27. 84 ; Opposite angles of a parallelogram bisect each other
28. 10; Opposite sides of a parallelogram are congruent
29. 16; Diagonals of a parallelogram bisect each other
30. 96 Consecutives angles of a parallelogram are supplementary
31. 68 ; Opposite angles of a parallelogram are congruent and subtraction
32. x = 6, y = 4
33. x = 5, y = 75
34. x = 12, y = 7
35. Opposite sides of a parallelogram are congruent, Opposite angles of a parallelogram are congruent, Consecutive angles of a
parallelogram are supplementary, Diagonals of a parallelogram bisect each other
36.
a) Show that both pairs of opposites are parallel
b) Show that both pairs of opposite sides are congruent
c) Show that both pairs of opposite angles are congruent
d) Show that one angle is supplementary to both consecutive angles
e) Show that the diagonals bisect each other
f) Show that one pair of opposite sides are congruent and parallel
37. Use the x and y coordinate and plot the points Parallelogram ABCD
38. m AB  0, m DC  0 and m AD  2, m BC  2 both slope are equal  opposite sides are parallel
39. AB  4, DC  4 and AD  2 5 , BC  2 5 both distances are equal  opposite sides are congruent
40. m AB  0, m DC  0 and AB  4, DC  4 (slope equal and distance equal)  one pair of opposite sides is congruent and
parallel
41. Midpoint Formula:  x1  x2 , y1  y 2  ,, AB  (1,2) , CD  (1,2) , AC  (0,0)

2
2

42. (x, y)  (x – 5, y + 2) A’ (-6, 4) , B’ (-2, 4), C’(-4, 0), D’(-8,0)
43. A’ (-1, -2) and B’ (3, -2)