FREE MATH AND STUDY GAMES ABOUT GEOMETRY

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FREE MATH AND STUDY GAMES ABOUT GEOMETRY

CHAPTER 10! EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -17 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation

Question 1: Theorem 10.2

Answer:

Tangent segments from a common external point are congruent

Question 2: Theorem 10.11

Answer:

if a tangent and a chord intersect at a certain point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc. m<1=1/2mAB m<2=1/2mBCA

Question 3: Theorem 10.15

Answer:

if two secants share the same endpoint outside a circle, then the product of the lengths of one secant s segment and its external segment equals the product of the lengths of the other secant segments and its external segment

Question 4: Theorem 10.16

Answer:

if a secant and a tangent segment share an endpoint outside a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment

EA2=EC*ED

Question 5: Theorem 10.13

Answer:

if a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of teh angle formed is one half the difference of the measures of the intercepted arcs.m<1=1/2(mBC-mAC) m<2=1/2(mPQR-mPR) m<3=1/2(mXY-mWZ)

Question 6: Theorem 10.10

Answer:

a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.

Question 7: Theorem 10.6

Answer:

in the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center

Question 8: Theorem 10.8

Answer:

if two inscribed angles of a circle intercept the same arc, then the angles are congruent.

Question 9: Theorem 10.5

Answer:

if a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc

Question 10: Theorem 10.1

Answer:

in a plane, a line is a tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle

Question 11: Theorem 10.14

Answer:

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 chords.

EA*EB=EC*ED

Question 12: Theorem 10.4

Answer:

if one chord is a perpendicular bisector of another chord then the first chord is a diameter

Question 13: Theorem 10.9

Answer:

if a right triangle is inscribed in a circle, then the hypotenuse is a diameter of the circle.

Question 14: Theorem 10.12

Answer:

if two chords intersect inside a circle, then the measure of each anlge is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle m<1=1/2(mDC+mAB) m<2=1/2(mAD+mBC)

Question 15: Theorem 10.7

Answer:

the measure of an inscribed angle is one half the measure of its intercepted arc.

Question 16: Key Concepts

Answer:

Measuring Concepts:

the measure of a minor arc is the measure of its central angle. the expression mAB is read as "the measure of arc AB".mADB=360 ?-the measure of the related minor arc

Question 17: Theorem 10.3

Answer:

in the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.AB=CD if&only if AB-CD