Day 2 of Circles 11 1 Tangent Lines

Day 2 of Circles 11 -1 Tangent Lines

1. Unit 8 Warm-Up # 1 What algebraic formulas would you use to verify that quadrilateral ABCD with vertices A(– 5, – 1), B( – 9, 6), C(– 1, 5), and D(3, – 2) is a rhombus. 2. An isosceles trapezoid TRAP has a perimeter of 46 and median length of 15, find the lengths of the legs. 3. Triangle GHI will be dilated by a scale factor of 3, resulting in Triangle G’H’I’. What rule describes this transformation?

What is a circle? A circle is a set of all points in a plane equidistant from a given point, the center. Radius: segment with one Endpoint at the center and the Other endpoint on the circle **All radii of a circle are congruent**

Name: A

When a line is tangent to a circle it means that the line intersects the circle at exactly one point. The point where a circle and a tangent line intersect is the called the point of tangency. � BA is a tangent segment � B is the point of tangency.

Theorem A tangent line and a radius of a circle are perpendicular at the point of tangency.

Theorem Two segments tangent to a circle from the same point outside the circle are congruent.

Inscribed vs. Circumscribed The Triangle is CIRCUMSCRIBED about the circle: The triangle is INSCRIBED in the circle

Ex 1.

Ex, 2

Ex 3:

Ex 4:

Ex 5 Hint: Create a Rectangle!

Ex. 6 Find the distance between the two pulleys

Ex 7: find the Perimeter of ABC.

Complete the worksheet