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)