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6-5: Conditions for Rhombuses, Rectangles, and Squares

6-5: Conditions for Rhombuses, Rectangles, and Squares. 3) Which special parallelograms are equiangular? 4) Which special parallelograms are equilateral?. Warm-Up. Proving a Parallelogram is a Rhombus Theorem 6-16: If the diagonals of a parallelogram are perpendicular,

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6-5: Conditions for Rhombuses, Rectangles, and Squares

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  1. 6-5: Conditions for Rhombuses, Rectangles, and Squares 3) Which special parallelograms are equiangular? 4) Which special parallelograms are equilateral? Warm-Up

  2. Proving a Parallelogram is a Rhombus Theorem 6-16: If the diagonals of a parallelogram are perpendicular, Theorem 6-17: If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus.

  3. Proving a Parallelogram is a Rectangle Theorem 6-18: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain.

  4. 10) If a parallelogram has angle measures of 20, 160, 20, and 160; can you conclude that it is a rhombus, a rectangle, or a square? Explain.

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