Problem of the Week Chapter 1 (LTF)
Name _________________________________
Each problem is worth 3 points, 1 point for the answer 2 points for the work.
Period ______
1) In the city Taxi-Land, all the streets are parallel or perpendicular to one another. Taxi’s in TaxiLand are only allowed to travel along these roadways and only stop at precise points at the
intersection of two streets. The birds in Taxi-Land are not expected to follow the same rules and may
fly a direct path between any two points in Taxi-Land. Use the grid provided to find out how much
distance a bird will save flying from A o B (as compared to a taxi driver). Each line on the grid
represents a street in Taxi-Land. Each square on the grid is 1 unit wide.
B
A
A. 0.877 units
B. 1 units
C. 1.259 units
D. 4 units
E. 4.123 units
2) Suppose the statement “Any acute angle can be bisected” is a postulate. Based on the postulate,
Which of these is true by deduction?
A.
B.
C.
D.
E.
The complement of any acute angle can be bisected.
Any angle that can be bisected is an acute angle.
The supplement of any acute angle can be bisected.
Any acute angle can be divided into 3 angle’s of equal measure.
Vertical angle’s can be bisected.
3) Based on the figure drawn below, which of the following can be proven if
S
R
1
T
3
5 O
Z
8
U
7
Y
A. SX ZU
B.
ZOX
WOY
C.
is
a
right angle
SOU
D.
7
8
E.
ROU is obtuse
X
W
1
3?
4)
EFG is bisected by FT . Solve for x .
E
2y
6x2
F
19 x 7
T
G
A. no solution
7
B. x
or x
2
7
C. x
2
1
D. x
3
1
E. x
2
1
3
5)
E and T are supplementary. If
find the angles.
A.
B.
C.
D.
E.
157 , 23
146 , 34
153 , 25
125 , 55
none of these
E is 23 more than twice the complement of
T,
6) Rene Descartes used a coordinate grid to link the study of algebra and geometry. Using the
Cartesian plane, determine the distance from 1,3 to 5, 0
A.
B.
C.
D.
E.
5
5.745
6.245
6.708
9