5.8 Guess My Parallelogram

What is your name?
Tehani and Tia are playing a guessing game in which one person describes[br] some of the features of a quadrilateral they have drawn and the other person[br] has to name the type of quadrilateral.[br][br]Here are some of the clues they gave each other.  [br]Decide what type of quadrilateral they are describing, and explain how you know.
1) The diagonals of this parallelogram are perpendicular to each other.
What is the shape?
What is your justification?
2) Consecutive angles of this parallelogram are supplementary (that is, they add to 180°).
What is the shape?
What is your justification?
3) The diagonals of this parallelogram are congruent.
What is the shape?
What is your justification?
4) When rotated 90°, each diagonal of this parallelogram gets superimposed on top of the other.
What is the shape?
What is your justification?
5) Consecutive angles of this parallelogram are congruent.
What is the shape?
What is your justification?
6) The diagonals of this parallelogram are congruent and perpendicular to each other.
What is the shape?
What is your justification?
Close
– Tyler Haslam

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