Name _______________________

GEOMETRY: UNIT 1 REVIEW

Lesson 1: Undefined Terms

1. Name three lines that intersect at U. 2. Name the intersection of

€

RS and plane WZUR. 3. Name a plane that contains

€

RT . 4. Name a plane that contains

€

UY and X. 5. Are points R, T, and Z coplanar? 6. Are points W, X, Y, and T coplanar?

7.

€

AB is in plane R. TRUE FALSE

8. Plane S contains

€

AB. TRUE FALSE

9. Planes R and S contain D. TRUE FALSE

10. Point D is on line h. TRUE FALSE

11. Line h is in plane S. TRUE FALSE

12. Line h is in plane R. TRUE FALSE

13. Plane R intersects plane S in

€

AB. TRUE FALSE

14. Point C is in planes R and S. TRUE FALSE

15. Three points are contained in exactly one plane. TRUE FALSE

16. One and only one plane contains a line and a point not on the line. TRUE FALSE

17. F, R, and G are collinear. TRUE FALSE

18. C, D, and E are coplanar. TRUE FALSE

19. Plane X contains

€

FG . TRUE FALSE

20. R, G, F and D are coplanar. TRUE FALSE

21.

€

FG intersects

€

CE . TRUE FALSE

Lesson 2: Segments & Rays

22. In the diagram,

€

PR ≅ RT , S is the midpoint of

€

RT ,

€

QR = 4 , and

€

ST = 5. Complete.

a. RS= __________ b. RT=__________ c. PR=__________ d. PQ= __________

23. In the diagram, X is the midpoint of VZ. Given VW = 5 and VY = 20, find the coordinates of W, X, and Y.

   

24.

a. Name a ray opposite

€

GO . b. Name a ray with endpoint B that contains H. c. BG + GH = _______ d.

€

m∠COD+m∠DOF = ________ e.

€

m∠AOB +m∠BOD = __________ f. If GO=OH, then

€

CF_____________

€

GH .

25. S is the midpoint of

€

RT . RS = 3x+16 and ST=4x-8.

x= RS = RT =

26. XZ=24, XY=2x, and YZ=2x+4. Find the value of x, XY, and YZ.

x= XY= YZ =

Lessons 3 & 4: Angles & Angle Pairs 27. The complement of an angle is eighteen more than three times the angle. Find the

measure of the angle, its complement, and its supplement.

28.

€

∠C and

€

∠D are complementary, m

€

∠C=3y + 5, and m

€

∠D= 2y. Write and solve and equation to find the value of y. Then find

€

∠C and

€

∠D

y = _____________ m

€

∠C = _____________ m

€

∠D = _____________

29. Find each angle measure:

€

m∠DBE =

€

m∠EBF =

€

m∠FBG =

€

m∠DBC =

30.

€

m∠XYW = 4x −18 and

€

m∠WYZ = 3x + 58. Find the value of x,

€

m∠XYW and

€

m∠WYZ

31. a. Name an angle that is adjacent to

€

∠AOC . b. Name a pair of vertical angles. c. Name a linear pair. d. Name a pair of complementary angles.

32.

€

AD⊥FC ,

€

m∠1 = 38 Find:

€

m∠ADF = __________

€

m∠EDC = __________

€

m∠CDB = __________

€

m∠ADB = __________

33.

€

AL bisects

€

∠KAT ,

€

m∠3 = 6x, m∠KAT = 90 − x. x = __________

34.

€

AL bisects

€

∠KAT ,

€

m∠1 = 5x −12, m∠2 = 3x + 6

x = _____________

Lesson 5: Coordinate Geometry

35. What is the length of a segment with endpoints at (-4, 7) and (-10, -3)? Round your answer to the nearest tenth.

36. What is the midpoint of a segment with endpoints at (6, -3) and (-2, 8)?

37.

€

CD has a midpoint at (5, -6). Point C is located at (8, -11). Find the coordinates of Point D.

38. Graph

€

AB with endpoints A(-8, -4) and B(3, 5).

a. Find the midpoint of

€

AB.

b. Find the length of

€

AB . Round to the nearest hundredth.

c. Find the slope of

€

AB.

39. Plot the points A(9, 7) and B(5, -3).

a. Find the midpoint, M, of

€

AB.

b. Show that AM=MB.

c. Show that AM + MB = AB

40. Find the perimeter of the parallelogram shown on the grid.

Lesson 6: Geometric Constructions

41.

a. Construct a segment congruent to

€

JK . b. Construct a perpendicular bisector to

€

JK .

42. a. Construct an angle that is congruent to

€

∠XYZ . b. Bisect

€

∠XYZ

GEOMETRY: UNIT 1 REVIEW ANSWERS

Lesson 1: Undefined Terms

1.

€

UR, UT, UZ 2. Point R 3. Plane RUTS or RTYW 4. Plane UYXR 5. Yes 6. No

7. True

8. True

9. True

10. True

11. True

12. False

13. True

14. False

15. False

16. True

17. True

18. True

19. False

20. True

21. False

Lesson 2: Segments & Rays

22. a. 5 b. 10 c. 10 d. 6

23. The coordinate of W is -7.

The coordinate of is X 5. The coordinate of Y is 8.

24. a.

€

GB b.

€

BG, BO, BH, or BE c. BH d. 180 e.

€

m∠AOD f. bisects

25. x = 24

RS = 88 RT = 176

26. x = 5 XY = 10 YZ = 14

Lessons 3 & 4: Angles & Angle Pairs

27. (90-x) = 3x + 18

x = 18 complement = 72 supplement = 162

28. y = 17

€

m∠C = 56m∠D = 34

29.

€

m∠DBE = 64

€

m∠EBF =10m∠FBG = 35m∠DBC =165

30. (4x – 18) + (3x + 58) = 180

x = 20

€

m∠XYW = 62m∠WYZ =118

31. a.

€

∠COD or ∠AOE

b.

€

∠EOD and ∠AOC

€

OR∠AOE and ∠COD

c. List one of the following:  

€

∠AOB and ∠BOD∠AOC and ∠COD∠COD and ∠DOE∠DOE and ∠EOA

d.

€

∠BOC and ∠COD

32.      

€

m∠ADF = 90

€

m∠EDC = 142

€

m∠CDB = 38

€

m∠ADB = 52

33. 6x + (90 – x) =180, x = 18

34. 5x – 12 = 3x + 6, x = 9

Lesson 5: Coordinate Geometry

35.

€

≈11.7 36. (2, 2.5) 37. (2, -1)

38. a. (-2.5, .5)

b.

€

≈14.21

c.

€

911

39.

a. (7, 2) b. Use Pythagorean theorem or

the distance to formula to show that AM=MB

€

≈5.4 (See me if you want me to review your work)

c. Use Pythagorean theorem or the distance formula to show that AM + MB=AB. (See me if you want me to review your work)

40. 34 units

Lesson 6: Geometric Constructions 41 & 42) See me if you want me to review your work. Reference your constructions examples and the videos tutorials (Linked online or on the QR code) for more help.