Quiz about Segment Lengths Intersecting Chords

Question 1

Calculate the value of x.

Accepted Answer

15

Answer

13

Answer

14

Answer

16

Question 2

What is the value of x?

Accepted Answer

8

Answer

18

Answer

10

Answer

30

Question 3

Solve for x.

Accepted Answer

10

Answer

6

Answer

8

Answer

12

Question 4

Given the figure ,find the value of x.

Accepted Answer

3

Answer

6

Answer

9

Answer

12

Question 5

Solve for d.

Accepted Answer

9

Answer

8

Answer

10

Answer

12

Question 6

Find the length of SQ.

Accepted Answer

23

Answer

1

Answer

8

Answer

120

Question 7

What is the length of side AC?

Accepted Answer

32

Answer

5

Answer

18

Answer

13

Question 8

What theorem if two chords intersect in the interior of the circle, then the product of the lengths of the segments of the chord is equal to the product of the lengths of the segments of the other chord.

Accepted Answer

The Intersecting Segments of Chords Power Theorem

Answer

The Segments of a Secants Power Theorem

Answer

Arc Length

Answer

The Tangent Secant Segments Power Theorem

Question 9

Using figure 5, which of the following refers to external secant segment?

Accepted Answer

segment BC

Answer

segment AB

Answer

segment AC

Answer

segment DC

Question 10

Use the figure , if SL = 12 , DL = 18 , and SU = 16, find SB.

Accepted Answer

22.5

Answer

28.67

Answer

18

Answer

12

Question 11

What is the formula to use when solving for a segment length of intersecting chords in a circle?

Accepted Answer

ab=cd

Answer

a(a+b)=c(c+d)

Answer

$$a^2=b\left(b+c\right)$$

Answer

a+b=c+d

Question 12

What is the relationship between the lengths of a secant segment and its external segment?

Accepted Answer

Product of the lengths of the secant segment and its external segment is equal to the product of the lengths of the two segments formed when the secant intersects the circle.

Answer

The length of the secant segment is smaller than the length of its external segment.

Answer

The length of the secant segment is greater than the length of its external segment.

Answer

The length of the secant segment is equal to the length of its external segment.

Question 13

What is the relationship between the lengths of two secant segments intersecting outside a circle?

Accepted Answer

The product of the lengths of the two secant segments is equal to the product of the lengths of their external parts.

Answer

The lengths of the two secant segments are always equal.

Answer

The lengths of the two secant segments are always different.

Answer

The sum of the lengths of the two secant segments is equal to the sum of the lengths of their external parts.

Question 14

Determine the value of x in the diagram.

Accepted Answer

9

Answer

6

Answer

7

Answer

8

Question 15

Determine the value of x in the diagram.

Accepted Answer

27

Answer

14

Answer

21

Answer

22

Question 16

Determine the value of x in the diagram.

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 17

Determine the value of x in the diagram.

Accepted Answer

18

Answer

4.5

Answer

13

Answer

16

Question 18

Which equation correctly reflects the information shown in the diagram?

Accepted Answer

(18)(3x) = (14)(3x + 6)

Answer

(18)(14) = (3x)(3x + 6)

Answer

(18)(3x + 6) = 14(3x)

Answer

(18)+ (3x) = (14)+ (3x + 6)

Question 19

Determine the value of x using the information given in the diagram.

Accepted Answer

x = 21

Answer

x = 14

Answer

x = 9.33

Answer

x = 19

Question 20

Determine the value of x using the information given in the diagram.

Accepted Answer

x = 9

Answer

x = 8

Answer

x = 10

Answer

x = 12

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