The Coordinate Plane. Circles and Polygons on the Coordinate Plane. Lesson 13.1 Assignment. 1. In circle C, chords. AB and
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1 Lesson.1 Assignment Name Date The Coordinate Plane Circles and Polgons on the Coordinate Plane 1. In circle C, chords AB and DE intersect at point F. Use the given information to algebraicall show that if two chords intersect, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. D (, ) F ( 5, 5) B (0, 10) A ( 10, 0) C (0, 0) 0 x E (10, 0) Chapter Assignments 15
2 Lesson.1 Assignment page. Quadrilateral WXYZ is a kite. Draw the quadrilateral formed b connecting the midpoints of the sides of the kite and label this quadrilateral ABCD. Then classif quadrilateral ABCD. Show all our work. W (, ) X (0, ) Y (, ) 0 x Z (0, ) 1 Chapter Assignments
3 Lesson.1 Assignment page 3 Name Date 3. Triangle JKL is inscribed in circle D. K (, 3) D (0, 0) 0 x J ( 3, ) L (, 3) a. Show that njkl is an isosceles right triangle. Chapter Assignments 17
4 Lesson.1 Assignment page b. Is a triangle inscribed in a circle alwas an isosceles right triangle or onl under certain conditions? Explain how ou know. 1 Chapter Assignments
5 Lesson. Assignment Name Date Bring On the Algebra Deriving the Equation for a Circle 1. Write an equation in standard form for: a. a circle with a center at M (, ) and a radius of 3. M 0 x b. a circle with the same center as the circle M, but whose circumference is 0 times that of circle M. c. a circle with a center at L (3, 3) and a radius of 5. L d. a circle with the same center as the circle L, but whose area is 0 times that of circle L. 0 x Chapter Assignments 19
6 Lesson. Assignment page. Determine if each equation represents a circle. If so, describe the location of the center and radius. a. x 1 x b. x 1 x c. 3x 1 1 3x Chapter Assignments
7 Lesson.3 Assignment Name Date Is That Point on the Circle? Determining Points on a Circle 1. Consider circle P centered at the origin with a radius of units as shown. a. Verif that point K (1, 15 ) lies on circle P. P 0 x b. Use smmetr to determine three more points on circle P.. Consider circle T with its center point located at (, 3) with a radius of 3 units as shown. a. Verif that point R (5, 0) lies on circle T. T 0 x b. Use smmetr to determine three more points on circle P. Chapter Assignments 1
8 Lesson.3 Assignment page 3. Maddie brought home a new pupp, Ralph, which she needs to introduce to her current dog, Ellie. She ties Ellie in the middle of her backard. She ties a shorter rope, exactl feet to the east and feet north of Ellie s rope, for her new pupp, Ralph. Based upon the graph, the dogs can meet at the point (3, ). a. Graph the range each dog will be able to travel on their rope. Use the origin as the place where Ellie is tied down. Show our work. b. Use smmetr to describe the location of the other point that is on the ver edge of both of the dogs ranges. Chapter Assignments
9 Lesson. Assignment Name Date The Parabola Equation of a Parabola 1. Determine the vertex, axis of smmetr, the value of p, the directrix, the focus, and the concavit for each parabola. Then graph the parabola. a. x 5 3 b. 5 x Chapter Assignments 3
10 Lesson. Assignment page. Determine the equation of each parabola with the given focus and directrix. Let (x, ) represent a point on the parabola. a. focus: (0, 3); directrix: 5 3 b. focus: (, 0); directrix: x 5 c. focus: (7, 0); directrix: x 5 7 Chapter Assignments
11 Lesson.5 Assignment Name Date Simpl Parabolic More with Parabolas 1. Use the distance formula to determine an equation for all the points equidistant from the given point and line. a. (3,.5) and (x, ) (3,.5) 0 x b. (3, 1) and x 5 7 x 5 7 (x, ) 0 x (3, 1) Chapter Assignments 5
12 Lesson.5 Assignment page. Determine the vertex, axis of smmetr, the value of p, the directrix, the focus, and the concavit for each parabola. Then graph the parabola. a. x 5 ( ) 1 3 b. x x 5 0 Chapter Assignments
13 Lesson.5 Assignment page 3 Name Date 3. Write an equation in standard form for each parabola. Then graph and label the parabola. a. A parabola with a vertex of (, ) and a focus of (, ). b. A parabola with a vertex of (1, 0) and a directrix of 5 3. Chapter Assignments 7
14 Chapter Assignments
A parabola has a focus at the point (6, 0), and the equation of the directrix is
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