Is this quadrilateral a parallelogram, rectangle, rhombus or square? Which facts are enough?
Grade 10 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Esme's window is parallelogram DFGH, with diagonals crossing at Q. DQ = (3x − 5) cm and FH = (2x + 26) cm. How long is FH if it is a rectangle, in cm?
Jun's picture frame is parallelogram DFGH, with diagonals crossing at Q. DQ = (3x − 7) cm and FH = (2x + 10) cm. How long is FH if it is a rectangle, in cm?
Kira's door is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 9) cm and FH = (2x + 24) cm. How long is FH if it is a rectangle, in cm?
Luz's table top is parallelogram DFGH, with diagonals crossing at Q. DQ = (3x − 2) cm and FH = (2x + 20) cm. How long is FH if it is a rectangle, in cm?
Pia's garden bed DFGH is a parallelogram. DF = (4x − 3) cm and FG = (2x + 9) cm. What is its perimeter when DFGH is a rhombus, in cm?
Ren's sticker DFGH is a parallelogram. DF = (2x + 7) cm and FG = (4x − 5) cm. What is its perimeter when DFGH is a rhombus, in cm?
Tala hears a claim: "If a quadrilateral's diagonals are equal, it is a rectangle." Which shape shows the claim is false?
- An isosceles trapezoid
- A kite
- A rhombus
- A square
Zee hears a claim: "If a quadrilateral's diagonals cross at right angles, it is a rhombus." Which shape shows the claim is false?
Use the picture in question 7.
- A square
- A kite with two short and two long sides
- An isosceles trapezoid
- A long rectangle
Ari hears a claim: "If one pair of opposite sides is parallel and the other pair is equal, it is a parallelogram." Which shape shows the claim is false?
Use the picture in question 7.
- An isosceles trapezoid
- A kite
- A rectangle
- A rhombus
Bo hears a claim: "If a quadrilateral has four equal sides, it is a square." Which shape shows the claim is false?
Use the picture in question 7.
- A square
- A long rectangle
- A rhombus with no right angle
- A kite