for Sumi's shop
Properties of Parallelograms, Rectangles, Rhombuses & Kites — Easy Worksheet 1
Grade 10 · MathSheets Name: ____________________ Date: __________
Use the properties of each quadrilateral. When diagonals are drawn, they meet at E. Diagrams are not always drawn to scale.
How to solve
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Example
ABCD is a parallelogram. AB = 8 and BC = 4. Find CD.
Answer: 8
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 12 and BC = 10. Find AD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 15 and BC = 5. Find CD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 10 and BC = 5. Find CD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 18 and BC = 14. Find CD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 11 and BC = 7. Find AD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 17 and BC = 15. Find CD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 14 and BC = 11. Find AD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Parallelograms, Rectangles, Rhombuses & Kites
Parallelogram: opposite sides are equal and the diagonals bisect each other (AE = EC, BE = ED). Rectangle: a parallelogram whose diagonals are also equal, so AE = BE = CE = DE. Rhombus: all four sides are equal, the diagonals are perpendicular and each diagonal bisects a pair of angles. Kite: two pairs of equal neighboring sides, perpendicular diagonals, and the main diagonal bisects the other one. Set equal parts equal to each other and solve for x; where diagonals are perpendicular, use the Pythagorean Theorem.
Try a similar one
ABCD is a parallelogram. AB = 16 and BC = 9. Find AD.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Properties of Parallelograms, Rectangles, Rhombuses & Kites — Easy Worksheet 1
Use the properties of each quadrilateral. When diagonals are drawn, they meet at E. Diagrams are not always drawn to scale.