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Special parallelograms: rectangles, rhombuses, and squares — Homework
Apply the extra properties of rectangles and rhombuses. State the hierarchy relationship where asked.
- 1.Rectangle DEFG has diagonal DF = 31. Find diagonal EG.
- 2.Rhombus HIJK has diagonals meeting at point M. Find the measure of angle HMI.
- 3.Rhombus HIJK has angle H = 100 degrees. The diagonal from H bisects it. Find each half.
- 4.Is every rectangle a rhombus? Is every square a rectangle? Explain both using the hierarchy.
- 5.A parallelogram is discovered to have congruent diagonals. What does this tell you about it, and what would you ALSO need to check to prove it is a square?
🌲 Homeschool of the FutureTenth Grade · Math · week 28 homework