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6-7: Polygons in the Coordinate Plane

6-7: Polygons in the Coordinate Plane. CP Geometry Mr. Gallo. Classifying Polygons in the Coordinate. Distance Formula. To determine whether: Sides are congruent Diagonals are congruent. Midpoint Formula. To determine: Coordinates of midpoint of side Whether diagonals bisect each other.

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6-7: Polygons in the Coordinate Plane

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  1. 6-7: Polygons in the Coordinate Plane CP Geometry Mr. Gallo

  2. Classifying Polygons in the Coordinate Distance Formula • To determine whether: • Sides are congruent • Diagonals are congruent Midpoint Formula • To determine: • Coordinates of midpoint of side • Whether diagonals bisect each other • To determine whether: • Opposite sides are parallel • Diagonals are perpendicular • Sides are perpendicular Slope Formula Use three formulas:

  3. Is scalene, isosceles or equilateral? Use the distance formula to find the side lengths: is a scalene triangle

  4. Is parallelogram ACBD a rhombus? Explain. Use the slope formula to find the slopes of the diagonals: Product of slopes: It is a rhombus

  5. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the isosceles trapezoid? Use the midpoint formula to find the midpoints of the sides:

  6. Use the distance formula to find the side lengths: Find the slopes of the sides: Product of slopes: It is a rhombus

  7. Complete Got It? #1, 2 & 3 p.401-402 • Scalene • Yes, and • Yes; • Yes; and . Therefore, is a right angle and is a right triangle. • Rhombus • Side length is

  8. Homework: p.403 #22-30 even, 45-48

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