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Analytic Geometry
3rd 9 Weeks Review
Name: ________________________
Date: _____________ Period: ______
1) Find the indicated angle measures using the picture to the right.
mAHB  _______
mBHC  _______
mDHE  _______
mGHF  _______
mCHE  _______
mFHE  _______
mFHD  _______
2) Brittany is walking home from school. She is
walking down Maple towards Oak. When she
reaches the end of Maple, she will continue on to
Pine. What is the measure of the turn she makes
from Maple on to Pine?
3) The maze below has two intersecting sets of
parallel paths. A mouse makes five turns in the
maze to get a piece of cheese. Follow the
mouse’s path through the maze. What are the
degrees at each turn?
Use the diagram for questions 4 - 15. AB // CD and are cut by transversal EF.
4) m  1 = _______
5) m  5 = _______
6) m  2 = _______
7) m  6 = _______
8) m  3 = _______
9) m  8 = _______
10) x = ________
What type of angles are the following:
11)
1& 8
_______________________
12)
2& 8
_______________________
13)
2& 6
_______________________
14)
1& 5
_______________________
15)
3& 5
_______________________
16)
3& 6
_______________________
17)
Given: BC  DA ; CBD  ADB
Prove: BCD  DAB
Statements
Reasons
1) BC  DA ; CBD  ADB
1) _______________________________
2) __________________
2) Reflexive Property
3) BCD  DAB
3) _______________________________
18)
Given: 1  2 , DH bisects BDF
Prove: BDH  FDH
Statements
Reasons
1) _____________________
1) Given
2) ____________________
2) Definition of an Angle Bisector
3) DH  DH
3) ___________________________________
4) ____________________
4) ___________________________________
19)
Given:  A is supplementary to  B ;  A is supplementary to D
Prove: ABCD is a parallelogram
Statements
Reasons
1) _____________________
1) Given
2) _____________________
2) If same-side int. angles are supplementary, then lines are parallel
3) _____________________
3) If same-side int. angles are supplementary, then lines are parallel
4) _____________________
4) Definition of a parallelogram
20) If ΔABC is an isosceles triangle, find the
indicated measures.
B
21) In an isosceles triangle, the vertex angle is
2 less than 5 times the measure of the base
angles. Find the measure of all the angles.
A  ________
C  ________
BC  ________
A
C
Determine whether the following triangles are congruent. If yes, write a congruency statement and justify your answer
(SSS, SAS, ASA, AAS)
22) ___________
23) ____________
24) _____________
F is the midpoint of DH
25) ___________
26) ___________
SV  RT ; V is the midpoint of RT
27) Translate ABCD 5 units to the left and 6 units
Up, T<-5,6>,
28) Reflect figure JKLM over the line x = 1,
Rx=1.
29) Rotate ∆XYZ 270° clockwise about
the origin, r(270⁰,O).
30) Translate the figure right 4 and up 3 and then
rotate 90°, T<4,3>◦r(90°, O).
31) Name the point of concurrency that goes with each special segment.
Median - __________________
Perpendicular Bisector - _____________________
Altitude - __________________
Angle Bisector - ___________________________
32) If the point of concurrency is located on the midpoint of the hypotenuse of a right triangle, which special
segments were constructed?
33) Where could the incenter of a triangle be located?
34) Which point of concurrency is equidistance from the vertices of a triangle?
35) If point M is the centroid, find each of the indicated measures.
BM  22 ; AE  57 ; DM  8
FM  _________
AM  _________
ME  _________
CM  _________
CD  __________
36) If BD is an altitude, find the value of x.
37) If BD is a median, find the value of x.
PARALLELOGRAM
x  ________
CD  _________
CM  ______
BC  _________
38. A  _________
B  _________
C  _________
HA  _______
39. MA  _______
HCS  ____
CAS  ____
HSC  ____
ACS  45 ; ASH  108
CS = 26; HM = 8; MS=2x+5
RECTANGLE
XM  2x  5 ; YM  6x  15
MH  ________
x  ________
MA  ________
40. MHA  _____
MPH  _____
MTH  _____
41. XM  ______
WY  _______
RHOMBUS
42.
ST  __________
MO  ________
TV  __________
NO  ________
mSQR  ______
43. LN  ________
mVTR  ______
KL  ________
mSRV  ______
LM  _______
mRTS  ______
SQUARE
DF  24
TRAPEZOID
EG  ___________
HF  ___________
x  __________
45. y  _________
z  __________
44. mEHF  ______
mDGE  ______
mGFE  ______
x  ___________
46. y  ___________
AB  __________
KITE
mPQR  _________
mPSR  _________
47. mXRQ  _________
mRXS  _________
mXSR  _________
mSPQ  144
mQRS  68
SL  _________
CA  _________
48. AL  _________
LF  _________
SF  _________
CL  40 ; CF  29 ;
AS  15