BASIC GEOMETRY Section 6.5: Conditions for Special Parallelograms

BASIC GEOMETRYSection 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 • //-ogram with one pair consec sides = →Rhom • //-ogram with diags ⊥ →Rhom • //-ogram with diag bisecting opp angles →Rhom

Conditions for a Square • Must 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 #5 • Page 422 #’s 1-5,39-41,(50)

BASIC GEOMETRY Section 6.5: Conditions for Special Parallelograms