Properties of parallelograms
Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Jun's tile is parallelogram DFGH. m∠D = (5x − 12)° and m∠G = (3x + 20)°. What is m∠F, in degrees?
Luz's table top is parallelogram DFGH. m∠G = (2x + 47)° and m∠D = (5x − 4)°. What is m∠H, in degrees?
Use the picture in question 1.
Milo's mural panel is parallelogram DFGH. m∠H = (7x − 3)° and m∠F = (4x + 36)°. What is m∠D, in degrees?
Use the picture in question 1.
Noah's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (x + 5) cm and QG = (3x − 7) cm. How long is diagonal DG, in cm?
Use the picture in question 1.
Pia's window pane is parallelogram DFGH, with diagonals crossing at Q. FQ = (2x + 1) cm and QH = (5x − 11) cm. How long is diagonal FH, in cm?
Use the picture in question 1.
Ren's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 5) cm and QG = (2x + 11) cm. How long is diagonal DG, in cm?
Use the picture in question 1.
Tala's quilt patch is parallelogram DFGH, with diagonals crossing at Q. FQ = (6x − 8) cm and QH = (4x + 2) cm. How long is diagonal FH, in cm?
Use the picture in question 1.
Ari's table top is parallelogram DFGH. DF = (4x − 3) cm, FG = (2x + 1) cm and GH = (x + 15) cm. What is the perimeter, in cm?
Use the picture in question 1.
Bo's mural panel is parallelogram DFGH. DF = (6x + 2) cm, FG = (2x + 3) cm and GH = (9x − 10) cm. What is the perimeter, in cm?
Use the picture in question 1.
Esme's patio stone is parallelogram DFGH. FG = (3x + 2) cm, DF = (x + 9) cm and HD = (5x − 12) cm. What is the perimeter, in cm?
Use the picture in question 1.