Presentation on theme: "Warm up 2 – 18 evens only. This will be graded in 10 minutes. 2.79"— Presentation transcript:
1Warm up 2 – 18 evens only. This will be graded in 10 minutes. 2.79 27.9361.78138.47.16309.4°107 °°°
29.2 Tangents and Secants Tangents and secants are LINES. A tangent line intersects the circle at exactly ONE point.A secant line intersects the circle at exactly TWO points.
3A little extra information The word tangent comes from the Latin word meaning to touchThe word secant comes from the Latin word meaning to cut.
4Important Theorems Tangent Theorem: If a line is tangent to a circle, then the line is perpendicular to a radius of the circle drawn to the point of tangency.The line AB is tangent to circle C at B.How could we prove that segment CB and line AB are perpendicular?
5Converse of the Tangent Theorem Go waaaayyy back… how do we get a converse statement?What would be the Converse of the Tangent Theorem?If a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.
6Radius and Chord Theorem A radius that is perpendicular to the chord of a circle bisects the chord.QR = 3What is the measure of RS?XR = 7 and WR = 2Find the missing measures of the remaining segments.RZ =RY =XW =WZ =XZ =76.713.4
7I need 2 volunteers to hand out whiteboards and markers. Let’s PracticeI need 2 volunteers to hand out whiteboards and markers.