1. Geometry Chapter One
Created by Educational Technology Network

2. 10 20 30 40 50 Segments and Congruence Perimeter and Area Angles
Midpoint and Distance
Angles
Angle Pair Relationships
Perimeter and Area 10 20 30 40 50

3. Question
Determine if Segment AB is congruent to Segment CD. A(0,1), B(4, 1), C(1, 2), D(1, 6)

4. Answer 1 – 10
Congruent

5. Question
Find the distance between and the midpoint of (-2, 6) and (4, 3)

6. Answer 1 – 20
10.2 and (1, 4.5)

7. Question
Point S is between R and T on segment RT. Set-up an equation, solve for x and then find RS and ST. RS = 2x + 10 ST = x – 4 RT = 21

8. Answer 1 – 30
x = 5, RS = 20, and ST = 1

9. Question
Point S is between R and T on segment RT. Set-up an equation, solve for x and then find RS and ST. RS = 2x – 8 ST = 3x – 10 RT = 17

10. Answer 1 – 40
x = 7, RS = 6, and ST = 11

11. Question
Determine if Segment AB is congruent to Segment CD. A(-6, -8), B(-6, 2), C(-2, -4), D(-6, -4)

12. Answer 1 – 50
Not Congruent

13. Question
Find the midpoint of the segment with endpoints (0, 4) and (4, 3)

14. Answer 2 – 10
(2, 3.5)

15. Question
Find XZ if you know M is the Midpoint:

16. Answer 2 – 20
146

17. Question
Use the given endpoint R and midpoint M of Segment RS to find the coordinates of the other endpoint S: R(-7, 11) and M(2, 1)

18. Answer 2 – 30
(11, 9)

19. Question
Find the length of the segment with endpoints S(-1, 2) and T(3, -2)

20. Answer 2 – 40
5.7

21. Question
The endpoints of segment LF are L(-2, 2) and F(3, 1). The endpoints of segment JR are J(1, -1) and R(2, -3). What is the approximate difference in lengths of the two segments?

22. Answer 2 – 50
2.86

23. Question
Given m<WXZ = 80 degrees, find m<YXZ.

24. Answer 3 – 10
55 degrees

25. Question
Given m<FJH = 168 degrees, find m<FJG.

26. Answer 3 – 20
135 degrees

27. Question
In the diagram Ray BD bisects <ABC. Find m<ABC.

28. Answer 3 – 30
156 degrees

29. Question
Ray BD bisects <ABC. Find m<ABC if m<ABD = 5x and m<DBC = 3x + 10.

30. Answer 3 – 40
50 degrees

31. Question
Define what it means to be adjacent angles?

32. Answer 3 – 50
Share a side, share a vertex, and no common interior points.

33. Question
A linear pair fits into two other specific categories that we have discussed, what are they?

34. Answer 4 – 10
Supplementary and adjacent

35. Question
The measure of one angle is twice the measure of its supplement. Find the angle measures.

36. Answer 4 – 20
120 and 60

37. Question
Find m<DEG and m<GEF

38. Answer 4 – 30
135 and 45

39. Question
Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle.

40. Answer 4 – 40
30 degrees and 150 degrees

41. Question
Find the values of x and y.

42. Answer 4 – 50
10, 35

43. Question
Find the area of the circle in terms of pi that has a radius of 20 inches

44. Answer 5 – 10
400 pi square inches

45. Question
Find the circumference of a circle rounded to the nearest thousandth when the circle has a diameter of 15 cm.

46. Answer 5 – 20
square cm

47. Question
A rectangle has a perimeter of 40 cm and a base of 12 cm. What is its area?

48. Answer 5 – 30
96 square cm

49. Question
What is the area of a section of pavement that is 20 feet wide and 100 yards long? Give your answer is square feet.

50. Answer 5 – 40
6000 square feet

51. Question
Find the area

52. Answer 5 – 50
22 square units