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Warm-Up

W. X. A. B. 7.5 in. 9 cm. Y. Z. 8.1 in. D. C. 5.2 cm. Warm-Up. Name the coordinates of each point. Point K Point L Point M Point N. (-3,-4). (0, -2). N. M. (-4, 2). (2, 3). Find the area of each rectangle. L. K. 5. 6. 7. Evaluate 3x 2 – 7x when x = -4. 8. x = -4.

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Warm-Up

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  1. W X A B 7.5 in 9 cm Y Z 8.1 in. D C 5.2 cm Warm-Up • Name the coordinates of each point. • Point K • Point L • Point M • Point N (-3,-4) (0, -2) N M (-4, 2) (2, 3) Find the area of each rectangle. L K 5. 6. 7. Evaluate 3x2 – 7x when x = -4 8. x = -4 Integrated 1 4-2 Introduction to Coordinate Geometry

  2. D A B J I H E F C 4-2 Intro to Coordinate Geometry Origin Point J (0, 0) Point A (1, 3) Line BC Line segment DE Ray FH Angle IFH Integrated 1 4-2 Introduction to Coordinate Geometry

  3. f. angle CDJ 6) endpoint of ray GC e. ray JM 5) angle corresponding to angle KCL a. angle EDC d. (5, 3) b. (3, 4) h. (4, 3) 8) vertex of angle DJM g. ray GC 7) ray with endpoint at (5, 3) c. (3, 3) 4-2 Intro to Coordinate Geometry Match each statement on the left with the letter on the right. c 1) endpoint of ray ED h 2) vertex of angle EDC g 3) ray parallel to ray EJ 4) obtuse angle with vertex at (4, 3) a f b e d Integrated 1 4-2 Introduction to Coordinate Geometry

  4. 4-2 Describing Shapes Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. The most familiar polygons are the triangle, the rectangle, and the square. A regular polygon is one that has equal sides. Polygons also have diagonals, which are segments that join two vertices and are not sides. We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has. sum of angles = (n – 2)180° Integrated 1 4-2 Introduction to Coordinate Geometry

  5. D C B A 4-2 Describing Shapes Plot the points A (-3, -2) B (4, -2) C (4, 5) D (-3, 5) What is the name of the polygon formed? Integrated 1 4-2 Introduction to Coordinate Geometry

  6. 4-2 Describing Shapes X Plot the points X (1, 6) Y (1, -4) Z (6, -4) Y Z What is the name of the polygon formed? Integrated 1 4-2 Introduction to Coordinate Geometry

  7. 4-2 Describing Shapes Plot the points P (-1, -1) Q (2, -1) R (2, -3) S (-1, -3) P Q S R What is the name of the polygon formed? Integrated 1 4-2 Introduction to Coordinate Geometry

  8. 4-2 Describing Shapes Plot the points K (1, 2) L (4, 2) M (4, -2) N (1, -2) O (0, 0) K L O N M What is the name of the polygon formed? Integrated 1 4-2 Introduction to Coordinate Geometry

  9. 4-2 Finding Area Find the area of right triangle XYZ. Remember that a rectangle is made up of two congruent right triangles. X (2, 2) W (6, 2) Insert helping lines to build a rectangle. 6 units Label point W Y (1, -4) Z (6, -4) 5 units Get the length and width of the rectangle. Integrated 1 4-2 Introduction to Coordinate Geometry

  10. 4-2 Finding Area Find the area of trapezoid GHIJ. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. G H Break the problem in to parts. 8 units Area of trapezoid = Area of rectangle - Area of right triangle I 4 units Find the area of the rectangle GHKJ K J 5 units Area of trapezoid is 40 – 10 = 30 square units Integrated 1 4-2 Introduction to Coordinate Geometry

  11. Quiz Simplify 4 1. 8xy-14x+4 2. -14 3. • Suppose a point lies in Quadrant IV. What can you conclude about its coordinates? x-coordinate is positive and y-coordinate is negative Integrated 1 4-2 Introduction to Coordinate Geometry

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