Chapter 15 Test Review
1. Right triangle DEF has vertices at D(0, 0) and E(10, 0). What are the possible locations for point F?
 Anywhere on the lines x = 0 or x = 10 except at the points (0,
0) and (10,0).
 Also, at the point (5, 5). What other point will work?
2. Veronica draws a circle centered at the origin. It has a
radius of 7.5 units. What are the x and y intecepts?

(0, 7.5), (0, -7.5), (7.5, 0), (-7.5, 0)
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3. Triangle BAT has points B

,A
, and T
Identify the triangle by side and angle.
BAT is a right, isosceles triangle.
4. Square FGHI has points F(0, 3) and G(0, 5). What is the coordinate of point H?

H is at one of two points: (2, 5) or (-2, 5)
5. Circle P intersects the y-axis at point W
intersects the y-axis?
o (0, −2√33)
6. Square MNPR has points M(3, 8) and N

7
. What is the coordinate of the other point where circle P
. What is the slope of segment NP?
5
Since MN has a slope of 5, NP must have a slope of − 7
7. Square TUVW on the coordinate plane has points T(0, 0), U(5, 5), and
V(0, 10). What are the coordinates of point W?
 W (-5, 5)
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8. Circle T has its center at

and passes through the point
. What is the radius of circle T?
Using the distance formula of the Pythagorean theorem, you can see that the radius is 5.
9. Circle P has its center at the origin, and contains point M at
.
a. Draw circle P.
b. Determine the length of segment MP.(Show work) 6. (No work is really necessary for this one.)
What is this line segment called in reference to circle P? Radius
c. Plot point B at
on the coordinate plane above. Is point B on circle P? Explain your reasoning by using the
distance formula.(Show work)

No. Use the distance formula or the Pythagorean theorem and you
can verify that BP is less than 6 units in length.
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10. Analyze quadrilateral ABCD
a.
Determine the length of each side of quadrilateral ABCD. (Show
work)
AB=___7.1______ BC=____7.1_______ CD=___7.1______
DA=___7.1______
b.
Determine the slope of each line segment of quadrilateral
ABCD.(Show work.)
c.
AB= 1 BC=-1 CD=1 DA= -1
Determine if quadrilateral ABCD can best be described as a trapezoid, a rhombus, a rectangle, or a square.
A square.
d.
Explain your reasoning.

Each angle measures 90 degrees, as evidenced by the slope of the enclosing lines, and each side has equal
measure.
11. Circle A has its center at
and contains point T (11, 1).
a.
lies on circle A.(Use the distance formula twice and show your work.)
Determine if point B

It is located on the circle. If you pay attention to the points,
you’ll notice that you only really need to use the distance
formula once – to measure the distance from the center to T.
B is horizontal to the center and the distance to B is countable.
It is on the circle.
b.
Suppose circle A is reflected over the y-axis. Determine the diameter of circle
or some work.)
D=10

.( Show the distance formula
As noted last chapter (and the chapter previous), rigid translations do not affect the diameter of a circle.
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