Parabolas (Sec 9-4) — Unit test Answers

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A parabola can be represented by the equation x2 = 2y.

A
focus: (0,8); directrix: y = –8
B
focus: ; directrix: y =
Option B
C
focus: (8,0); directrix: x = –8
D
focus: ; directrix: x =
Option D
2
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Line segment SU is a diameter of circle V.

Question illustration
A
56°
B
68°
C
112°
D
163°
3

Line segment ON is perpendicular to line segment ML.

Question illustration
A
1 unit
B
2 units
C
3 units
D
4 units
4

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

A
132 feet
B
659 feet
C
1,978 feet
D
3,956 feet
5

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
6

Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.

Question illustration
A
134°
B
150°
C
209°
D
210°
7

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.

Question illustration
A
75°
B
90°
C
120°
D
135°
8

AD and MN are chords that intersect at point B.

Question illustration
A
4 units
B
6 units
C
18 units
D
24 units
9

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Question illustration
A
1.8 meters
B
3.7 meters
C
15.2 meters
D
18.8 meters
10

Circle D is shown with the measures of the minor arcs.

Question illustration
A
EH and EF
B
GH and FE
C
FG and EH
D
EF and GF
11

Line segments XY and ZY are tangent to circle O.

Question illustration
A
an equilateral triangle
B
an isosceles triangle
C
a scalene triangle
D
a right triangle
12

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A
2 units
B
4 units
C
8 units
D
16 units
13

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Question illustration
A
37°
B
53°
C
74°
D
106°
14

Which is true regarding secants and chords?

A
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
B
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
C
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
D
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
15

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
16

A point is on a circle if the distance from the center of the circle to the point is equal to the

A
area.
B
circumference.
C
radius.
D
diameter.
17

A general formula for a parabola is x2=4py.What is the value of p in the equation x2=12y?

A
p=3
B
p=4
C
p=6
D
p=12
18

Line segment KL is tangent to circle J at point K.

Question illustration
A
8 units
B
10 units
C
12 units
D
16 units
19

Segments RT and SU are diameters of circle O.

Question illustration
A
258°
B
266°
C
274°
D
282°
20

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

Question illustration
A
39°
B
41°
C
78°
D
82°

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