Download Honors Geometry: Review for Wednesday`s Test:

Adv. Geometry: A review for you to do
Answer with problems 1 – 8 with Always, Sometimes, Never. For the answer
“Sometimes” give an example of when the statement is true and when it is false.
1. A line intersects with a plane at exactly one point.
2. 2 distinct planes intersect at a line.
3. Three planes intersect at a point.
4. Three planes intersect at a line.
5. Three points are contained in exactly one plane
6. Two distinct lines are contained in one plane.
7. Two intersecting lines and a point are contained in exactly one plane.
8. Three lines are coplanar
M is the midpoint of LR .
9. LM = 2x + 3, MR = 3x-1
LR = ______________
10. L has a coordinate of 15. LR = 6. What is/are the coordinates of M? _________
HT bisects LHR creating angles 1 and 2.
11. LHR is 48 degrees. How many degrees is angle 2?
12. m LHR = 5x + 18, m 1 = 3x + 4. Find the measure of angle 2.
A
1
C
5
F
2
E
3
4
D
B
17. DEB is a right angle. m1  8x  10 , m3  4x  8 . Find m2 . m2 = _______
18. Let EF bisect AED. m4  19x 1 and m3  9x  3 . Find m2 . m2 = ____
Chapter 2 to help give you a clue
True or False: (If false, provide a counter example)
1. If 2 angles are congruent, then they are vertical angles. (T or F)
Converse ___________________________________________ (T or F)
2. Two angles are supplements if and only if the sum of the 2 angles is 180 degrees.
(T or F)
3.
B
C
A
5
2
3
1
F
4
D
E
b. Given: AE  BF
Prove: 5 is complementary to 3
Statements
Reasons
4. A supplement of a given angle is 10 less than three times as large as a complement of
the angle. Find the measure of the given angle.
5. B is the midpoint of EC . Point D is in the interior of angle ABC such that
BD bisects ABC . mDBC = 15 degrees. Find mEBA . (Draw, label and solve)
A
B
6.
Given: AC  BD
Prove: AB  CD
C
D
Statements
Reasons
7. Use the same picture for a, b and c.
Y
R
X
2
1
3
S
8
Z
4
W
7
5
6
T
V
U
a. Given: 1 and 2 are complementary; 6 and 8 are complementary
Prove: ZX bisects YZW
Statements
Reasons
If 7  XZW, which one of the following statements must be true?
b. a. SZX  SZV
c. 1  6
b. TX  RV
d. 2  5
c. Which of the following would allow you to deduce that TX  RV in the same
picture above?
ZS bisects RZT and ZW bisects XZV
1 and 5 are complementary
3 and 7 are complementary
RZX and TZV are supplementary