3. Find x. Then find the perimeter. 2. Find X. Assume that segments that appear to be tangent are tangent. Determine whether the segment is tangent to the circle. Justify your answer. 3. Find x. Then find the perimeter.

Bell Ringer 2-7-17 Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.

Exit Ticket 2-7-17 In the figure, XY and XZ are tangent to circle A. XZ and XW are tangent to circle B. Explain how segments XY, XZ, and XW can all be congruent if the circles have different radii. X Y .. . A Z .BB . B W

Bell Ringer 2-8-17 Determine whether QR is tangent to circle P. Show your work to justify your answer.

A secant is a line that intersects a circle at exactly 2 points.   Two secants or chords intersecting; inside rule: vertex is inside the circle ∠1= ½ (mAB + mCD) ∠2= ½ (mDA + mBC)

Two Secants mA= ½ (mDE – mBC) Secant-Tangent mA= ½ (mDC – mBC) Secants and tangents intersecting; outside rule: vertex is outside the circle Two Secants mA= ½ (mDE – mBC) Secant-Tangent mA= ½ (mDC – mBC) Two Tangents mA= ½ (mBDC – mBC)

On the circle:   ∠1= ½ (AB) ∠2= ½ (ACB)

½ x ½ (x+y) ½ (x-y)

What is the value of X ? 108 P N M x N 62 74 P 51 R C 194 R Q X x B A