6.2 Puzzle: Parallelogram Scramble
Name ____________________________
Each figure below is a parallelogram. They are not drawn to scale. Use the properties of parallelograms to
solve for x. Then, list all labeled points of that figure (including the intersection of the diagonals) in the blanks
for the matching x value. There may be two or three figures for each x value. Finally, unscramble the letters to
spell a word associated with parallelograms.
1. x = 4
— — — — — — — — — — — — — = _________________________
2. x = 15 — — — — — — — — — = _________________________
3. x = 20 — — — — — — — — = _________________________
4. x = 2
— — — — — — — — — — — — — — = _________________________
5. x = 6
— — — — — — — — — = _________________________
The coordinates of three vertices of a parallelogram are given. Find the coordinates of the
forth vertex.
6. ABCD with A(0, 6), B(5, 8), C(5, 5)
7. KLMN with K(–4, 7), L(3, 6), M(5, 3)
Find the measures of each numbered angle.
8.
9.
10.
11.
Find each measure by writing an equation and solving it by showing all work.
12. mABC
13. mF