Secants, Tangents, and Angles Answers

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The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A
10.6 cm
B
14.0 cm
C
15.0 cm
D
19.8 cm
2
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In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
3

Rhombus LMNO is shown with its diagonals.

Question illustration
A
34°
B
45°
C
56°
D
68°
4

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
5

Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.

Question illustration
A
11 ft
B
15 ft
C
21 ft
D
23 ft
6

Line segment SU is a diameter of circle V.

Question illustration
A
56°
B
68°
C
112°
D
163°
7

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°
8

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, andOP = (2x – 1) m.

Question illustration
A
x = 10 m, y = 1 m
B
x = 10 m, y = 2 m
C
x = 11 m, y = 1 m
D
x = 11 m, y = 2 m
9

ABCD is a square.

Question illustration
A
30°
B
45°
C
60°
D
90°
10

Parallelogram R S T U is shown. Angle S is 70 degrees.

Question illustration
A
m∠R = 70°, m∠T = 110°, m∠U = 110°
B
m∠R = 110°, m∠T = 110°, m∠U = 70°
C
m∠R = 110°, m∠T = 70°, m∠U = 110°
D
m∠R = 70°, m∠T = 110°, m∠U = 70°
11

Quadrilateral A B D C is shown.

Question illustration
A
AB ≅ CD
B
AC ≅ BD
C
AB ⊥ BD
D
CD ⊥ BD
12

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
13

Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.

Question illustration
A
38°
B
76°
C
90°
D
152°
14

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
15

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Question illustration
A
26°
B
52°
C
104°
D
128°
16

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
24°
B
33°
C
48°
D
66°
17

Parallelogram A B C D is shown. The length of A B is (9 x minus 14) inches and the length of D C is (3 x + 4) inches.

Question illustration
A
3 in.
B
9 in.
C
13 in.
D
19 in.
Option D
18

Given: Circle M with inscribed and congruent radii JM and MLProve: m =

Question illustration
A
reflexive property
B
substitution property
C
base angles theorem
D
second corollary to the inscribed angles theorem
19

The figure shown is a rhombus.

Question illustration
A
x + y = z
B
2x = y + z
C
z + x = 2y
D
2x + 2y = 4z
20

Rhombus LMNO is shown with its diagonals.

Question illustration
A
7 cm
B
9 cm
C
14 cm
D
21 cm

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