Lesson 1.7 circles.notebook. September 19, Geometry Agenda:

Transcription

1 Geometry genda: Warm-up 1.6(need to print of and make a word document) ircle Notes 1.7 Take Quiz if you were not in class on Friday Remember we are on 1.7 p.72 not lesson 1.8 1

2 Warm up 1.6 For Exercises 1 3, use the graph at right. 1. Locate D so that D is a rectangle 2. Locate E so that E is a trapezoid. 3. Locate G so that points,,, and G determine a parallelogram that is not a rectangle. 2

3 Sketch the following 4. arallelogram GR 5. Square SQRE 6. Rhombus RHM with acute H. 7. Trapezoid TR with TR, RE,and, E, and collinear. 3

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6 Lesson 1.7 ircles Note Sheet ircle: set of points in a plane that are the distance (radiu from a given point (center). If =5 and =5, Then and are the radii of the circle. Radius: a segment from the of a circle to a on the edge of the circle. Diameter: a line segment containing the center of the circle, with its on the circle. The length of this segment is also called the diameter. Draw the diameter D D ongruent ircles: two circles are congruent if they have the same radius. If = or, then oncentric ircles: two circles are concentric if they are and have the same. rc of a ircle: the two points on the circle (endpoints) and the continuous (unbroken) part of the circle the two points. Semicircle: an arc whose endpoints are the endpoints of a. Use three points to name a semicircle. Major rc: an arc that is than a semicircle. Use points to name a major arc. an you name a semicircle, a major arc, and a minor arc?? D Minor rc: an arc that is smaller than a. Use two letters to name a minor arc. 6

7 entral ngle: an angle whose vertex is located at the center of a circle. an you identify a central angle? How do central angles relate to major and minor arcs? The of a minor arc is the as the measure of the central angle. hord: a line segment whose lie on the circle. an a chord be a diameter? Name the chords: Tangent: line that a circle at only one point. D M T Where the line intersects the circle is called the. an you identify the points of tangency? Name the tangent lines. H Use the ordered pair rule to relocate the four points of the given circle. an the four new points be connected to create a new circle? Is the new circle congruent to the original circle? 7

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9 Lesson 1.7 ircles Note Sheet ircle: set of points in a plane that are the distance (radius) from a given point (center). If =5 and =5, Then and are the radii of the circle. Radius: a segment from the of a circle to a on the edge of the circle. Diameter: a line segment containing the center of the circle, with its on the circle. The length of this segment is also called the diameter. Draw the diameter D D ongruent ircles: two circles are congruent if they have the same radius. If = or, then oncentric ircles: two circles are concentric if they are and have the same. rc of a ircle: the two points on the circle (endpoints) and the continuous (unbroken) part of the circle the two points. Semicircle: an arc whose endpoints are the endpoints of a. Use three points to name a semicircle. Major rc: an arc that is than a semicircle. Use points to name a major arc. an you name a semicircle, a major arc, and a minor arc?? D Minor rc: an arc that is smaller than a. Use two letters to name a minor arc. 9

10 entral ngle: an angle whose vertex is located at the center of a circle. an you identify a central angle? How do central angles relate to major and minor arcs? The of a minor arc is the as the measure of the central angle. hord: a line segment whose lie on the circle. an a chord be a diameter? Name the chords: Tangent: line that a circle at only one point. D M T Where the line intersects the circle is called the. an you identify the points of tangency? Name the tangent lines. H Use the ordered pair rule to relocate the four points of the given circle. an the four new points be connected to create a new circle? Is the new circle congruent to the original circle? 10