Prove that a given quadrilateral is a rectangle, square or rhombus LT 6.5

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Conditions for Rectangles

A manufacturer builds a mold for a desktop so that , , and mABC = 90° A manufacturer builds a mold for a desktop so that , , and mABC = 90°. Why must ABCD be a rectangle? Example 1:

Conditions for Rhombuses

Since a square is a parallelogram with all properties of a rectangle and a rhombus Parallelogram yes opp sides are congruent Rectangle yes one right angle Rhombus yes diagonals are perpendicular Yes it is a square

Determine if the conclusion is valid Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all names that apply. A(0,2), B(3, 6), C(8, 6), D(5, 2) Example 3:

  A(0,2), B(3, 6), C(8, 6), D(5, 2)