Why are the triangles formed by intersecting chords similar?

Secant and Tangent Relationships

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Patricia Brown
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
They have equal areas.
They have congruent corresponding angles.
They have equal perimeters.
They have equal side lengths.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the unknown length of a segment in intersecting chords?
By adding the lengths of the segments.
By subtracting the lengths of the segments.
By setting up a proportion using similar triangles.
By dividing the lengths of the segments.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the segments of two intersecting chords in a circle?
The sum of the segments of one chord equals the sum of the segments of the other chord.
The product of the segments of one chord equals the product of the segments of the other chord.
The ratio of the segments of one chord equals the ratio of the segments of the other chord.
The difference between the segments of one chord equals the difference between the segments of the other chord.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between two secants intersecting outside a circle?
The difference between the exterior segments equals the difference between the entire secants.
The product of the exterior segment and the entire secant of one line equals the product of the exterior segment and the entire secant of the other line.
The ratio of the exterior segments equals the ratio of the entire secants.
The sum of the exterior segments equals the sum of the entire secants.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the secant-secant relationship, what do you multiply to find the unknown length?
The interior segment by the entire secant.
The exterior segment by the entire secant.
The entire secant by itself.
The exterior segment by the interior segment.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of secant-secant calculation, what is the unknown length if the exterior is 5 and the interior is X?
X = 4.2
X = 5.2
X = 6.2
X = 7.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between a secant and a tangent drawn from the same external point?
The difference between the secant and tangent equals the square of the tangent.
The sum of the secant and tangent equals the square of the tangent.
The product of the exterior segment and the entire secant equals the square of the tangent segment.
The ratio of the secant and tangent equals the square of the tangent.
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