Answers191 CR GeometryQuadrilaterals, Coordinate Algebra, and Circles

Practice Test Answers

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1
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What is the perimeter of kite KLMN ?

A
2 square root of 2 plus 2 square root of 5 units
B
4 square root of 5 units
C
square root of 2 plus square root of 5 units
D
square root of 14 units
2
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If m overarc NP is 6 more than 5 times the measure of overarc MN , what is m overarc NP ?

A
139 degrees
B
174 degrees
C
145 degrees
D
151 degrees
3

What is the approximate length of the radius, r ?

A
4 point 5 cm
B
9 point 0 cm
C
14 point 2 cm
D
28 point 3 cm
4

What is the radius of a circle whose equation is open paren x minus 7 close paren squared plus open paren y minus 10 close paren squared is equal to 4 ?

A
2 units
B
8 units
C
16 units
D
4 units
5

Which circle has a central angle that measures 40 degrees ?

A
Image with description A circle has a center U. Z X is a diameter, and V X is a chord. Angle V X Z is 40 degrees.
B
Image with description A circle has a center U. Z V is a chord, and Z X is a tangent line that touches the circle at Z. Angle X Z V is 40 degrees.
C
Image with description A circle has a center U. X V and X Z are the chords. Angle V X Z is 40 degrees.
D
Image with description A circle has a center U. U Z and U V are the circle's radii. Angle V U Z is 40 degrees.
6

A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3 point 1 4 for pi

A
151 in. squared
B
7235 in.2
C
1809 in. squared
D
75 in. squared
7

Which statements about the clock are accurate? Choose three correct answers.

A
The length of the minor arc between 6 and 7 is approximately 5 point 2 inches.
B
The central angle formed when one hand points at 1 and the other hand points at 3 is 30 degrees .
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120 degrees .
D
The circumference of the clock is approximately 62 point 8 inches.
E
The length of the major arc between 3 and 10 is approximately 31 point 4 inches.
8

Given: line segment RT is congruent to line segment TV and line segment ST is congruent to line segment TU Prove: RSVU is a parallelogram. Expand Image What is the missing statement in step 4?

A
triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU
B
triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV
C
triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS
D
triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV
9

What are the measures of angles cap m and cap n ?

A
m angle cap m is equal to 119 degrees and m angle cap n is equal to 67 degrees
B
m angle cap m is equal to 113 degrees and m angle cap n is equal to 61 degrees
C
m angle cap m is equal to 61 degrees and m angle cap n is equal to 113 degrees
D
m angle cap m is equal to 67 degrees and m angle cap n is equal to 119 degrees
10

In circle cap y , what is m frown set over TU ?

A
100 degrees
B
82 degrees
C
118 degrees
D
106 degrees
11

She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ ?

A
18 feet
B
42 feet
C
36 feet
D
30 feet
12

The measure of central XYZ angle is 3 pi over 4 radians. What is the area of the shaded sector?

A
256 pi units squared
B
96 pi units squared
C
32 pi units squared
D
85 pi units squared
13

What is the measure of overarc BC ?

A
130 degrees
B
100 degrees
C
120 degrees
D
160 degrees
15

Statements Reasons 1. circle cap o ; angle cap A intercepts overarc BC ; angle cap d intercepts overarc BC 1. given 2. m angle cap A is equal to 1 half times open paren m overarc BC close paren 2. ? 3. m angle cap d is equal to 1 half times open paren m overarc BC close paren 3. ? 4. m angle cap A is equal to m angle cap d 4. substitution property 5. angle cap A is congruent to angle cap d 5. definition of congruent angles Two statements are missing reasons. What reason can be used to justify both statements 2 and 3 ?

A
angle formed by a tangent and a chord is half the measure of the intercepted arc.
B
inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
third corollary to the inscribed angles theorem
16

In the diagram of circle cap r , m angle FGH is 50 degrees What is m frown set over FEH ?

A
130 degrees
B
260 degrees
C
310 degrees
D
230 degrees
17

Which statement proves that PQRS is a parallelogram?

A
The midpoint of line segment SQ is open paren 4 comma 5 and 1 half close paren and SQ is equal to 5 .
B
The slopes of line segment SP and line segment RQ are both negative 2 and SP is equal to RQ is equal to square root of 45 .
C
The slopes of line segment RS and line segment QP are both 3 and SP is equal to RQ is equal to square root of 45 .
D
The midpoint of line segment RP is open paren 4 comma 5 and 1 half close paren and the slope of line segment RP is negative 9 halves .
18

Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

A
open paren x minus 6 close paren squared plus open paren y minus 4 close paren squared is equal to 16
B
open paren x minus 4 close paren squared plus open paren y minus 6 close paren squared is equal to 4
C
open paren x minus 6 close paren squared plus open paren y minus 4 close paren squared is equal to 4
D
open paren x minus 4 close paren squared plus open paren y minus 6 close paren squared is equal to 16
19

What is the missing reason in step 5?

A
corresponding parts of congruent triangles are congruent
B
adjacent sides of a kite are congruent
C
corresponding parts of similar triangles are congruent
D
diagonals of a kite are congruent
20

What is the length of line segment WU ?

A
4 cm
B
6 cm
C
7 cm
D
5 cm

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