Special Segments Answers

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.

AX and EX are secant segments that intersect at point X.

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.

Line segment BA is tangent to the circle.

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Which are congruent line segments? Select two options.

Circle C is inscribed in triangle QSU.

A circle is shown. Chords Q S and R T intersect at point A. The length of Q A is 9, the length of A S is 4 x, the length of T A is 12, and the length of A R is x + 2.

Circle C is inscribed in triangle JEG.

SU and VT are chords that intersect at point R.

A circle is shown. Secant P N and tangent M N intersect at point N outside of the circle. Secant P N intersects the circle at point Q. The length of M N is 6, the length of Q N is 4, and the length of P Q is x.

Point O is the center of the circle.

BD and AC are chords that intersect at point Y.

Which statements about the figure are true? Select two options.