basic geometry section 6.5: conditions for special parallelograms
Post on 11-Jan-2016
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Conditions for RectanglesDef of rectangle = 4 rt angles
→Rect
//-ogram with 1 rt angle →Rect
//-ogram with diags →Rect≅
Example 1
Conditions for a RhombusDef of rhombus: 4 = sides →Rhom
//-ogram with one pair consec sides = →Rhom
//-ogram with diags ⊥ →Rhom
//-ogram with diag bisecting opp angles →Rhom
Conditions for a SquareMust be a rectangle and a rhombus
Example 2: Determine if the conclusion is valid. If not, tell what additional info is needed to make it valid.
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)
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)
Assignment #5Page 422 #’s 1-5,39-41,(50)
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