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Transcript
Name________________________________ Date______________________ Period______
Geometry Honors
Unit 1 Test Review
Part 1: Use the figure at the right to answer Exercises 1-5.
1. What is another name for line m?
R
X
2. Name the intersection of planes A and B.
Y
3. Is Plane TUV another name for plane B? Why or why not?
T
S
Z
5. Explain why this statement is false: Y and T are noncollinear.
Part 2: Complete each exercise.
R
6. Find the value of x if RS bisects AB and RS = 36.
18
25
A
2y – 5
3x
T
B
2y
6
S
7. Find m∠RST if
ST
bisects RSU and SU bisects TSV.
R
(x + 2y
S
1)
T
(6x
9)
(2y + 5)
V
8. Given AB with midpoint M(1, 2) and endpoint A(3, -3), determine the coordinates of B.
9. Find m1 if 1 is complementary to 2, 2 is supplementary to 3, and m3 = 126˚.
ℬ
V
m
𝒜
4. Are line m and point Y coplanar? Why or why not?
U
U
10. In DEF, find the length of DF . Show all work and give exact answers.

D
E
F

length: __________
11. ABC and CBD form a linear pair. Which three points A, B, C, or D, are collinear?
Part 3: Multiple Choice. Circle the correct answer.
12. Find PQ if the endpoints of PQ are P(2, 5) and Q(-2, 2).
A) 5
B) 7
C) 9
D) 25
For Exercises 13-14, use the figure at the right. Note: A, B, and F are noncollinear.
13. Classify EBF.
A) acute angle
E
B) right angle
C) obtuse angle
D) straight angle
F
C
50
B
14. Which statements are true? Circle all that apply.
A) mCBA = 50o
B) mEBF = 40o
D
A
C) mABD = 100o
D) mCBF = 130o
For Exercises 15-17, use the figure at the right. Note: R, S, and U are collinear. T, S, and X are collinear.
15. Which pair of angles are congruent angles?
A) RST, TSU
B) TSU, USV
T
C) RSX, TSU
D) RSX, XSW
U
S
R
X
16. Which angle is supplementary to USV?
A) TSU
B) VSW
C) RSV
W
V
D) WSR
17. Which pair of angles are adjacent angles? Circle all that apply.
A) RSX, RSW
B) XSW, WSV
C) RST, TSU
D) RSV, USV
For Exercise 18, use the figure at the right.
18. Find mABC if FBD and DBE are complementary and mDBE is three less than half of mFBD.
A) 62o
B) 31o
C
A
C) 28o
F
B
D) 90o
E
D
Part 4: Use the statements below to complete Exercises 19-22.
s: Two angles are congruent.
t: Two angles are right angles.
19. Write the conditional statement t  s:
___________________________________________________________________________________________
20. Write the converse of the statement in Exercise 19:
___________________________________________________________________________________________
21. Write the biconditional of the statement in Exercise 19:
___________________________________________________________________________________________
22. Which statements above (#19-21) are false? Explain.
___________________________________________________________________________________________
___________________________________________________________________________________________
Part 5: Complete the postulate/theorem with the correct word or phrase.
23. If two __________ intersect, then their intersection is a line.
24. If two lines intersect, then their intersection is _________________________________.
25. If two points lie in a plane, then the line containing them _________________________.
26. Two points ______________ a line.
27. A plane contains at least ___________________________________________________.
28. If two congruent angles form a linear pair, then they are __________________________.
Part 6: Decide if the statement is always, sometimes, or never true.
29. ____________ If M is the midpoint of AB, then any segment containing M is a bisector of AB.
30. ____________ If two angles are complementary, then they are adjacent.
31. ____________ If two angles are vertical angles, then they are complementary.
32. ____________ If two planes intersect, then they intersect at a point.
Part 7: For Exercises 33-35, use the statement below.
“Changing lanes without a blinker could cause an accident.”
33. Write the statement in if-then form: _______________________________________________________________
___________________________________________________________________________________________
34. What is the hypothesis? ________________________________________________________________________
35. What is the conclusion? ________________________________________________________________________
Part 8: Provide a counterexample that shows the conjecture is false.
36. Conjecture: If two angles are supplementary, then one angle is obtuse.