Tactics Practice
Handout #3: Tactics 1-4, 9
Name: _____________________________________ Pd: ____
Score: ______/10
______ 1.
Tony drove 8 miles west, 6 miles north, 3 miles east and 6 more miles north. How far was Tony
from his starting place?
A) 13
B) 17
C) 19
D) 21
E) 23
______ 2.
A point is drawn on a rectangular table, 3 feet from one side and 4 feet from an adjacent side.
How far, in feet, is the point from the nearest corner of the table?
A) 13
B) 5
C) 7
D) 25
E) cannot be determined
______ 3.
If Y is the midpoint of XZ, which of the following must be true?
I. YZ 
1
XZ
2
II.
1
XZ  2 XY
2
III. 2XY  XZ
A) I. only
B) II. only
C) III. only
D) I. and II.
E) I. and III.
______ 4.
The lengths of the sides of a right triangle are consecutive even integers, and the length of the
shortest side is x. Which of the following equations could be used to find x?
A) x  x 1  x  2
2
2
2
B) x  ( x  1)  ( x  2)
C) x  ( x  2)  ( x  4)
D) x  x  2  x  4
2
E) x  ( x  2)( x  4)
2
______ 5.
2
2
In the figure, what is the value of d?
A) 2
B) 2.5
C) 3
D) 3.5
E) 4
d
3d
6
8
______ 6.
What is the perimeter of the figure?
A) 24
B) 25
C) 28
D) 30
E) 36
______ 7.
In triangle ABC, what is the value of
1
A)
4
1
C)
2
a
?
bc
C
x°
a
1
B)
3
5
D)
8
x°
x°
B
Note: figure is not drawn to scale
n
In the figure p  n and x  90 .
Which of the following must be true?
A)
B)
C)
D)
E)
9.
A
c
E) cannot determine
______ 8.
b
p
y  90
y  90
y  90
x°
y°
m
nm
pm
Note: Figure not drawn to scale.
Triangle 1
If y = 60 in triangle 2, how much greater is the
perimeter of triangle 1 than the perimeter
of triangle 2?
Triangle 2
8
x°
x°
y°

5
y°
5
Note: Figures
 not drawn to scale

10.
What is the area of quadrilateral EFGH?
G(5,6)


F(-3,3)







E(-3,-2)



H(5,-2)


11.
E
In the figure, the area of square ABCD is 144, and the area of
isosceles triangle DEC is 18. What is the Distance from A to E?
D
C
A
12.
Line m (not shown) passes through O and
intersects AB between A and B. What is one
possible value of the slope of line m?
B
y
(8,3)
A
O
B
x
Note: Figure not drawn to scale
______13.
In the figure, arc SBT is one quarter of a circle with center R and
radius 6. If the length plus the width of rectangle ABCR is 8, then
the perimeter of the shaded region is:
A) 8 + 3π
B) 10+ 3π
C) 14 + 3π
D) 1 + 6π
E) 12 + 6π
14.
The figure consists of two circles that have the same center.
If the shaded area is 64π square inches and the smaller circle has
a radius of 6 inches, what is the radius, in inches, of the larger
circle?
Note: Figure not drawn to scale.