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24.3 Closure

Quiz by Kristina Haley

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Q 1/3
Score 0
Two tangent segments, AB and AD, are drawn to circle C from the common point A. Which can be used to prove that AB and AD are congruent?
29
Show that the two triangles formed by points A, C, and the points of tangency are right triangles.
Show that the two chords are equidistant from the center of the circle and are therefore congruent.
Show that the two chords intersect in the circle and that the product of the lengths of their segments are equal and are therefore congruent.
Show that the two right triangles formed by points A, C, and the points of tangency are congruent.

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3 questions

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Q1
Two tangent segments, AB and AD, are drawn to circle C from the common point A. Which can be used to prove that AB and AD are congruent?
Show that the two triangles formed by points A, C, and the points of tangency are right triangles.
Show that the two chords are equidistant from the center of the circle and are therefore congruent.
Show that the two chords intersect in the circle and that the product of the lengths of their segments are equal and are therefore congruent.
Show that the two right triangles formed by points A, C, and the points of tangency are congruent.
30s
Q2
Circle C is inscribed in △ADF as shown. Given that AD=12, AB= 8, and AF=15, which of the following is NOT the correct length of that segment?
DE=4
GF=7
CE=4
DF=11
30s
Q3
Circle C with tangents AB and AD is shown. BC=7, and EA=18. What is the length of one of the tangent segments, to the nearest tenth?
24.0
16.6
19.3
26.0
30s

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