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BASIC GEOMETRY Section 6.5: Conditions for Special Parallelograms

BASIC GEOMETRY Section 6.5: Conditions for Special Parallelograms. Conditions for Rectangles. Def of rectangle = 4 rt angles →Rect //-ogram with 1 rt angle →Rect //-ogram with ≅ diags →Rect. Example 1. Conditions for a Rhombus. Def of rhombus: 4 = sides →Rhom

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BASIC GEOMETRY Section 6.5: Conditions for Special Parallelograms

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  1. BASIC GEOMETRYSection 6.5: Conditions for Special Parallelograms

  2. Conditions for Rectangles • Def of rectangle = 4 rt angles →Rect • //-ogram with 1 rt angle →Rect • //-ogram with ≅ diags →Rect

  3. Example 1

  4. Conditions for a Rhombus • Def of rhombus: 4 = sides →Rhom • //-ogram with one pair consec sides = →Rhom • //-ogram with diags ⊥ →Rhom • //-ogram with diag bisecting opp angles →Rhom

  5. Conditions for a Square • Must be a rectangle and a rhombus

  6. Example 2: Determine if the conclusion is valid. If not, tell what additional info is needed to make it valid.

  7. Example 3: Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names the apply. P(-1,4),Q(2,6),R(4,3),S(1,1)

  8. Example 4: Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names the apply. W(0,1),X(4,2),Y(3,-2),Z(-1,-3)

  9. Assignment #5 • Page 422 #’s 1-5,39-41,(50)

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