✅ 10th Grade Geometry: Intersecting Chords Quiz
✅ 10th Grade Geometry: Intersecting Chords Quiz
Two chords intersect inside a circle. The segments of the first chord are 2 units and 6 units long. The segments of the second chord are 3 units and $ x $ units long. Find the value of $ x $.
A) 3B) 4
C) 5
D) 6
In a circle, two chords intersect. One chord is divided into segments of 4 and 5. The other chord is divided into segments of 2 and $ x $. What is the value of $ x $?
A) 8B) 9
C) 10
D) 12
Two chords intersect within a circle. The first chord has segments of length 8 and 3. The second chord has segments of length 6 and $ x $. Calculate $ x $.
A) 4B) 5
C) 6
D) 7
Chords $ AB $ and $ CD $ intersect at point $ E $ inside a circle. If $ AE = 10 $, $ EB = 4 $, $ CE = 5 $, and $ ED = x $, find $ x $.
A) 6B) 7
C) 8
D) 9
Two chords intersect in a circle. The segments of the first chord are 9 and 4. The segments of the second chord are 6 and $ x $. Find the value of $ x $.
A) 4B) 5
C) 6
D) 7
In a circle, two chords intersect such that the segments of the first chord are 12 and 2. The segments of the second chord are 3 and $ x $. What is the length of $ x $?
A) 6B) 8
C) 10
D) 12
Two chords intersect inside a circle. The segments of the first chord are both equal to $ x $. The segments of the second chord are 4 and 9. Find the value of $ x $.
A) 5B) 6
C) 7
D) 8
Chords $ RS $ and $ TU $ intersect at point $ P $. If $ RP = x + 2 $, $ PS = 3 $, $ TP = 6 $, and $ PU = 4 $, find the value of $ x $.
A) 4B) 5
C) 6
D) 8
Two chords intersect in a circle. One chord is split into segments of $ x + 1 $ and 4. The other chord is split into segments of 8 and 3. Find $ x $.
A) 4B) 5
C) 6
D) 7
Two chords intersect inside a circle, forming an angle $ \theta $. The intercepted arcs are 45 degrees and 75 degrees. What is the measure of the angle $ \theta $?
A) 30 degreesB) 60 degrees
C) 90 degrees
D) 120 degrees
Two chords intersect inside a circle. The angle formed by the intersection is 55 degrees. If one of the intercepted arcs is 40 degrees, what is the measure of the other intercepted arc?
A) 15 degreesB) 55 degrees
C) 70 degrees
D) 80 degrees
Two chords intersect inside a circle. The segments of the first chord are $ x $ and $ x + 5 $. The segments of the second chord are 6 and 4. Find the positive value of $ x $.
A) 2B) 3
C) 4
D) 8
In a circle, two chords intersect. The segments of the first chord are $ x - 1 $ and $ x + 4 $. The segments of the second chord are 6 and 4. Find the positive value of $ x $.
A) 3B) 4
C) 5
D) 6
Two chords intersect inside a circle. The segments of the first chord are $ 2x $ and $ x + 1 $. The segments of the second chord are 4 and 3. Find the positive value of $ x $.
A) 1B) 2
C) 3
D) 4
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