Unit Test Answers
Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.
Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.
AD and MN are chords that intersect at point B.
Line segments XY and ZY are tangent to circle O.
A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Line segment SU is a diameter of circle V.
Line EF is tangent to circle G at point A.
Given: quadrilateral ABCD inscribed in a circleProve: ∠A and ∠C are supplementary, ∠B and ∠D are supplementaryLet the measure of = a°. Because and form a circle, and a circle measures 360°, the measure of is 360 – a°. Because of the ________ theorem, m∠A = degrees and m∠C = degrees. The sum of the measures of angles A and C is degrees, which is equal to , or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.What is the missing information in the paragraph proof?
A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U. The length of T U is y minus 2, the length of U V is 8, the length of S W is y +4, and the length of W V is 6.
Line segment BA is tangent to the circle.
Circle C is inscribed in triangle QSU.
AX and EX are secant segments that intersect at point X.
Angle BAC measures 56°.
Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees.
Given: Circle M with inscribed and congruent radii JM and MLProve: m =
Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.
Line segment TS is tangent to circle O at point N.
Line segment XY is tangent to circle Z at point U.
BD and AC are chords that intersect at point Y.
Given: Circle O with diameter LN and inscribed angle LMNProve: is a right angle.
Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o.
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