Classifying quadrilaterals on the coordinate plane

Classroom activities

Things a class does rather than writes on. Each one is a finished PDF: print it, cut it up if it says so, and hand it round.

  • A Square or Not? Classifying Quadrilaterals on the Coordinate Plane — Cut & Glue Sort 25 minutes, including the cutting · 5 sheets

    12 pieces, each telling something about a quadrilateral ABCD: its corners, some slopes, side lengths or midpoints, or a drawing on squared paper. Students sort each one: a square, not a square, or cannot tell. A rhombus with four equal sides and no right angle, two midpoints that agree in only one coordinate, and a drawing that looks square and is not are all in the mix.

  • The Most Specific Name — Classifying Quadrilaterals on the Coordinate Plane Answer Maze 10–15 minutes · 4 sheets

    8 boxes on one page, each giving the four corners of a quadrilateral. Students use slopes, side lengths and midpoints to find the most specific name. Each wrong name is one step off: a true name that stops too early, like parallelogram for a rectangle, or a name that claims too much, like square for a rhombus. The row of box numbers at the foot is the check.

  • What Do the Numbers Prove? Classifying Quadrilaterals on the Coordinate Plane — Mystery Picture 25–35 minutes · 4 sheets

    25 squares, each with finished numbers about a quadrilateral (slopes, squared lengths or midpoints) and a concluding sentence. Students compute nothing. They decide whether the numbers prove the sentence. Fill it or leave it white, and a picture appears. The white squares are the classic mistakes: slopes used to claim equal lengths, equal diagonals read as bisecting ones, four equal sides called a square.

  • Every Fourth Corner: Classifying Quadrilaterals on the Coordinate Plane — Scavenger Hunt a full class period · 13 sheets

    16 cards around the room, each giving three corners of a parallelogram PQRS in order. Students find the fourth corner S with one move and check it with the midpoints of the two diagonals, then walk to the card showing S. Putting the corners in the wrong order, or losing a minus sign, lands on a card that sends the group back, and a clean run is 8 lines.