11 1 Tangent Lines Chapter 11 Circles Tangent

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11. 1 Tangent Lines Chapter 11 Circles

11. 1 Tangent Lines Chapter 11 Circles

Tangent to a circle: a line that touches the circle at one point Point

Tangent to a circle: a line that touches the circle at one point Point of tangency: the point where the line and circle touch

Theorem 11 -1: If a line is tangent to a circle, then it is

Theorem 11 -1: If a line is tangent to a circle, then it is perpendicular to the radius.

Lines ML and MN are tangents to Circle O. Find the value of x.

Lines ML and MN are tangents to Circle O. Find the value of x. M L x° 117° O What are the measures of <OLM and <ONM? 90° 117 + 90 + x = 360 N x = 63°

ED is tangent to Circle O. Find the value of x. 38 + 90

ED is tangent to Circle O. Find the value of x. 38 + 90 + x = 180 38° x = 52° O x° D E

A dirt bike chain fits tightly around two gears. The chain and gears form

A dirt bike chain fits tightly around two gears. The chain and gears form a figure like the one below. Find the distance between the centers of the C gears. E 26. 5 in 9. 3 in D B 2. 4 in A ABCE is a rectangle and AED is a right triangle. AE is 26. 5 ED is 9. 3 – 2. 4 = 6. 9 Use Pythagorean Theorem to solve for AD. 26. 52 + 6. 92 = c 2 AD = 27. 4 in

A chain fits tightly around two circular pulleys. Find the distance between the centers

A chain fits tightly around two circular pulleys. Find the distance between the centers of the pulleys. 35 in 14 in 352 + 62 = c 2 c = 35. 5 in 8 in

If a line is perpendicular to the radius at its endpoint on the circle,

If a line is perpendicular to the radius at its endpoint on the circle, then the line is tangent to the circle. Is ML tangent to Circle N at L? 72 + 242 = 252 ? ? N M 25 49 + 576 = 625 ? ? 625 = 625 24 7 Yes, ML is tangent to circle N L

If all the vertices of a triangle are on a circle, the triangle is

If all the vertices of a triangle are on a circle, the triangle is inscribed in the circle When a circle is inscribed in a triangle, the triangle is circumscribed about the circle.

The two segments tangent to a circle from a point outside the circle are

The two segments tangent to a circle from a point outside the circle are ______!

The two segments tangent to a circle from a point congruent outside the circle

The two segments tangent to a circle from a point congruent outside the circle are ______! Ex. 3: Find the perimeter of the triangle! 10 15 8 P = 10 + 15 + 8 + 8 P = 66

Circle O is inscribed in PQR has a perimeter of 88 cm. Find QY.

Circle O is inscribed in PQR has a perimeter of 88 cm. Find QY. Q 15 + 17 + x + x = 88 x x X 15 cm P 64 + 2 x = 88 Y O 15 cm Z 2 x = 24 17 cm x = 12 R QY = 12

Homework: Pg 586 -9: # 1 – 22

Homework: Pg 586 -9: # 1 – 22

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Three Circles and a Tangent Three Circles andThree Circles and a Tangent Three Circles and
Intersections of Circles and Tangent Segments Two circlesIntersections of Circles and Tangent Segments Two circles
CHAPTER 11 CIRCLES SECTION 11 1 TANGENT LINESCHAPTER 11 CIRCLES SECTION 11 1 TANGENT LINES
2 72 8 TANGENT LINES DERIVATIVES TANGENT LINE2 72 8 TANGENT LINES DERIVATIVES TANGENT LINE
Tangent lines n Recall tangent line is theTangent lines n Recall tangent line is the
14 2 B TANGENT LINES TO CIRCLES PROOF14 2 B TANGENT LINES TO CIRCLES PROOF
Day 2 of Circles 11 1 Tangent LinesDay 2 of Circles 11 1 Tangent Lines
Circles 12 1 Lines that Intersect Circles InteriorCircles 12 1 Lines that Intersect Circles Interior
Tangent Lines 1 Equation of lines 2 EquationTangent Lines 1 Equation of lines 2 Equation
How Secant Lines become Tangent Lines Adrienne SamanthaHow Secant Lines become Tangent Lines Adrienne Samantha
A 2 Lines and circles 1 Straight linesA 2 Lines and circles 1 Straight lines