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Parallelograms: properties and proofs — Homework
Apply the parallelogram properties, or select a converse theorem to prove a quadrilateral is a parallelogram.
- 1.In parallelogram ABCD, AB = 14. Find CD.
- 2.In parallelogram ABCD, angle A = 78 degrees. Find angle C and angle B.
- 3.In parallelogram EFGH, diagonals meet at point M, with EM = 11 and FM = 7. Find MG and MH.
- 4.Quadrilateral RSTU has RS ~= TU and ST ~= RU (both pairs of opposite sides congruent). Is RSTU necessarily a parallelogram? Which theorem justifies it?
- 5.A student knows quadrilateral ABCD has AB parallel to CD, but not whether AB ~= CD or AD is parallel to BC. Is ABCD necessarily a parallelogram? What extra fact would settle it?
🌲 Homeschool of the FutureTenth Grade · Math · week 27 homework