Is this quadrilateral a parallelogram, rectangle, rhombus or square? Which facts are enough?
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Esme marks the facts known about a paper shape DFGH. Do the marks prove that DFGH is a parallelogram?
- Yes: both pairs of opposite sides are equal.
- No: it also needs a right angle.
- No: no sides are marked parallel.
- Yes: all four sides are equal.
Jun marks the facts known about a lamp shade outline DFGH. Do the marks prove that DFGH is a parallelogram?
- Yes: one pair is parallel and the other pair is equal.
- No: an isosceles trapezoid has these marks too.
- Yes: both pairs of opposite sides are equal.
- No: a parallelogram needs four right angles.
Luz marks the facts known about a kite-maker's sketch DFGH. Do the marks prove that DFGH is a parallelogram?
- Yes: it has two pairs of equal sides.
- No: a kite has these marks too.
- No: no angles are marked.
- Yes: both pairs of opposite sides are equal.
Milo's picture frame is DFGH, with FG = DH = 9 cm. DF = (2x + 4) cm and GH = 18 cm. What value of x makes DFGH a parallelogram?
Noah's garden bed is DFGH, with FG = DH = 13 cm. DF = (3x − 5) cm and GH = 25 cm. What value of x makes DFGH a parallelogram?
Pia's window is DFGH, with FG = DH = 12 cm. DF = (4x + 2) cm and GH = 30 cm. What value of x makes DFGH a parallelogram?
Ren's tile is DFGH, with FG = DH = 17 cm. DF = (5x − 3) cm and GH = 37 cm. What value of x makes DFGH a parallelogram?
Zee's picture frame DFGH has diagonals meeting at Q; FQ = QH = 16 cm. DQ = (5x − 6) cm and QG = (3x + 8) cm. Which x makes it a parallelogram?
Ari's window DFGH has diagonals meeting at Q; FQ = QH = 21 cm. DQ = (4x + 1) cm and QG = (2x + 13) cm. Which x makes it a parallelogram?
Bo's garden gate DFGH has diagonals meeting at Q; FQ = QH = 19 cm. DQ = (6x − 5) cm and QG = (2x + 23) cm. Which x makes it a parallelogram?