Segment Relationships in Circles:Assessment
Authored by Rajdeep Kalwani
Mathematics
9th - 12th Grade
Used 1+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Given the figure ,find the value of x.
3
6
9
12
2.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Use the figure , if SL = 12 , DL = 18 , and SU = 16, find SB.
28.67
22.5
18
12
3.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
In the figure , segment BS is tangent to circle T at S. If BC = 8 cm , and CU=10cm, find BS.
12
14
16
10
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
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.
The Intersecting Segments of Chords Power Theorem
The Segments of a Secants Power Theorem
Arc Length
The Tangent Secant Segments Power Theorem
Answer explanation
The Intersecting Segments of Chords Power Theorem states that if two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
5.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Given figure 2 at the right, find the measure of segment AL.
8
9
10
11
Answer explanation
Segment AL is equal to the sum of segments AK and KL. Given that AK = 4 and KL = 5, AL = 4 + 5 = 9. Therefore, the measure of segment AL is 9.
6.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
What is the value of x in figure 5.
6
36
9
45
Answer explanation
The value of x in figure 5 is 6 as shown in the diagram.
7.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
In figure 6, what is the length of segment GA?
6
8
10
12
Answer explanation
In figure 6, segment GA is the hypotenuse of a right triangle with sides of length 6 and 8. Using the Pythagorean theorem (a^2 + b^2 = c^2), GA = sqrt(6^2 + 8^2) = sqrt(36 + 64) = sqrt(100) = 10.
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