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Placing Figures in the Coordinate Plane

Placing Figures in the Coordinate Plane. Lesson 6-6. Review:. Angles of a Kite. You can construct a kite by joining two different isosceles triangles with a common base and then by removing that common base. Two isosceles triangles can form one kite. Angles of a Kite.

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Placing Figures in the Coordinate Plane

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  1. Placing Figures in the Coordinate Plane Lesson 6-6

  2. Review:

  3. Angles of a Kite You can construct a kite by joining two different isosceles triangles with a common base and then by removing that common base. Two isosceles triangles can form one kite.

  4. Angles of a Kite Just as in an isosceles triangle, the angles between each pair of congruent sides are vertex angles. The other pair of angles are nonvertex angles.

  5. Find the slope…. (3a, b+4) (a, b)

  6. Find the midpoint…. (3a, b+4) (a, b)

  7. Naming Coordinates • Rectangle KLMN is centered at the origin and the sides are parallel to the axes. Find the missing coordinates. K(?, ?) L(4, 3) Answer: K(-4, 3) M(4, -3) N(-4, -3) N(?, ?) M(?, ?)

  8. Naming Coordinates • Rectangle KLMN is centered at the origin and the sides are parallel to the axes. Find the missing coordinates. K(?, ?) L(a, b) Answer: K(-a, b) M(a, -b) N(-a, -b) N(?, ?) M(?, ?)

  9. K(b, c) Q(?, ?) N(0, 0) P(s, 0) Naming Coordinates • Use the properties of a parallelogram to find the missing coordinates. (Don’t use any new variables. Answer: Q(b + s, c)

  10. A(2a, 2b) W C(2c, 2d) T V U O(0, 0) E(2e, 0) Finding a Midpoint • Find the coordinates of the midpoints T, U, V, and W. Use midpoint formula: Answer: T(a, b) U(e, 0) V(c + e, d) W(a + c, b + d)

  11. A(2a, 2b) W C(2c, 2d) T V U O(0, 0) E(2e, 0) Finding a Slope • Find the slope of each side of OACE. Use slope formula: Answer: slope of OA = b / a slope of AC = d – b / c – a slope of CE = c – e / d slope of OE = 0

  12. The midsegment of a trapezoid is the segment that connects the midpoints of its legs. Theorem 6.17 is similar to the Midsegment Theorem for triangles. Midsegment of a trapezoid

  13. The midsegment of a trapezoid is parallel to each base and its length is one half the sums of the lengths of the bases. MN║AD, MN║BC MN = ½ (AD + BC) Theorem 6.17: Midsegment of a trapezoid

  14. Example Find the value of x.

  15. Mmmm cake. 5” 2nd layer? 17” 14”

  16. Assignment • Page 328 • #’s 1-11 odd • 20 , 23, 28-30, 31 • Page 333 • #’s 1 , 9

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