Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

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Presentation transcript:

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Objective: By following instructions, students will be able to: Use given conditions to show that a quadrilateral is a rectangle, a rhombus, or a square.

explain 1 Prove that if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Your-Turn #1 Use the given information to determine whether the quadrilateral is necessarily a rectangle. Explain your reasoning.

explain 2 Complete the flow proof that if one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus.

explain 3A Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid.

explain 3B Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid.

Revisit Objective: Did we… Show that a quadrilateral is a rectangle, a rhombus, or a square?

HW: Sec 24.4 page 1001 #s 3-16