1. Parallel Lines Polygons Proofs 100 pt 100 pt 100 pt 100 pt 100 pt
9/9/2018
Constructions
Transformations
100 pt
100 pt
100 pt
100 pt
100 pt
200 pt
200 pt
200 pt
200 pt
200 pt
300 pt
300 pt
300 pt
300 pt
300 pt
400 pt
400 pt
400 pt
400 pt
400 pt
500 pt
500 pt
500 pt
500 pt
500 pt

2. x - 4
92°
What is the value of x?

3. x = 96°

4. x
115°
m <x = ______

5. <x = 65°

6. Write all angles congruent to angle 7.2 1 4 3 6 5 8 7
Write all angles congruent to angle 7.

7. Angle 6, 2, and 3.

8. MNPQ is a parallelogram. Find the measure of angle 1.
100°
30° P Q 1
MNPQ is a parallelogram.
Find the measure of angle 1.

9. 50°

12. Draw a convex heptagon.

13. (7 sides)

14. Find the measure of angle x.
140° x
Find the measure of angle x.

15. The measure of angle x is 40°

16. Find the measure of angle x.
118°
107°
85°
120°
Find the measure of angle x.

17. The measure of angle x is 70°

18. Find the measure of angle 1.
65°
63°
75° 1
110°
Find the measure of angle 1.

19. 47°

22. Justify this statement: If the m<x + m<y = 180°
and the m<z = m<y,
then the m<x + m<z = 180°.

23. Substitution property

24. What is the converse of “If you have a stomach ache, then you ate too many sweets.”

25. If you ate too many sweets, then you have a stomach ache.

26. Write the following statement in if-then form:
“An object weighs a ton if it is 2000 pounds.”

27. If an object is 2000 pounds, then it weighs a ton.

28. B is the midpoint of segment CE. Prove: <E ≅ <C (6 steps)A B E D
Given: <A ≅ <D;
B is the midpoint of segment CE.
Prove: <E ≅ <C
(6 steps)

29. Statement
Reason
1. <A ≅ <D
1. Given
2. B is the midpoint of segment CE
2. Given
3. Segment EB ≅ Segment CB
3. Def. of a midpoint
4. <ABE ≅ <DBC
4. Vertical <s are ≅
5. ΔABE ≅ ΔDBC
5. AAS
6. <E ≅ <C
6. CPCTC

32. What geometric construction is shown below?

33. Perpendicular Bisector

34. What is the first step in constructing the angle bisector of angle B?

35. Making Arc DE

36. Scott is constructing a line perpendicular to line l from point P
Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?

37. D

38. Marsha is using a straightedge and a compass to do the construction shown below. Which best describes the construction Marsha is doing?

39. Parallel Lines

42. See Transformations for 100

44. See Transformations for 200

46. See Transformations for 300

48. See Transformations for 400