1 / 15

Bellwork

Bellwork. Pg 580 1-15 all. 11.1 Tangent Lines. Chapter 11 Circles. 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 perpendicular to the radius. M. L.

shel
Télécharger la présentation

Bellwork

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Bellwork Pg 580 1-15 all

  2. 11.1 Tangent Lines Chapter 11 Circles

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

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

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

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

  7. C 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 gears. E 26.5 in 9.3 in B D 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. AD = 27.4 in 26.52 + 6.92 = c2

  8. A chain fits tightly around two circular pulleys. Find the distance between the centers of the pulleys. 35in 14in 8in 352 + 62 = c2 c = 35.5in

  9. 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 ?? 49 + 576 = 625 ?? M 25 N 625 = 625 24 7 Yes, ML is tangent to circle N L

  10. 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.

  11. The two segments tangent to a circle from a point outside the circle are congruent. A B AB = BC C

  12. The diagram represents a chain drive system on a bicycle. Give a convincing argument that BC = GF. C B H G F If HC = HF and HB = HG, then BC = GF

  13. Circle O is inscribed in ΔABC. Find the perimeter of ΔABC. 10 + 10 + 15 + 15 + 3 + 3 10cm 56 cm 10 15cm 3cm 3 15

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

  15. Homework: Pg 586 1 – 22 all

More Related