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Geometry - Discovering Properties of Quadrilaterals

Grade Levels
9th - 10th
Resource Type
Formats Included
  • PDF
  • Activity
13 pages
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Includes Easel Activity
This resource includes a ready-to-use interactive activity students can complete on any device. Easel by TpT is free to use! Learn more.


Students remember more when they are involved in a lesson. This 10 task activity has students draw the diagonals and then measure various parts to discover special properties of 7 quadrilaterals.

• Task 1: Compare the lengths of the two diagonals in each quadrilateral to see if they are congruent. .

• Task 2: Compare the two parts of each diagonal to see if they are bisected in each quadrilateral.

• Task 3: Compare the four angles in each quadrilateral. Describe which angles are congruent.

• Task 4: Compare the four angles formed by the intersectionof the diagonals to see if the diagonals are perpendicular.

• Task 5: Compare the two smaller angles formed by each diagonal when it divides the opposite angles in the quadrilateral.

• Task 6: Conjecture which angles of the quadrilateral appear to be supplementary.

• Task 7: Conjecture how many pairs of opposite sides that are congruent and how many pairs.

• Task 8: Conjecture which quadrilaterals have two adjacent sides congruent.

• Task 9: Conjecture which quadrilaterals have one or two lines of symmetry.

• Task 10:Conjecture the characteristics of the quadrilateral that creates perpendicular diagonals and the characteristics that makes the diagonals bisect the opposite angles.

Students record their information in a chart and then look for any patterns among the data.

A complete set of answers is included.

A spanish version is included.

Comments from buyers:

• So much more engaging then lectures on properties.

• Great intro activity!

• Wonderful activity for reinforcement!

• A great way to explore all of the properties rather than just telling the kids.

• It was great to refer back to this activity throughout the formal notes and later practice. Thank you!

• WOW, Love this for the spatial learner and the hands-on learners. I'm using it for the introduction to quadrilaterals (and am confident enough to use it for my formal observation class.)

• I used this on the first day of the section and really enjoyed being able to call back on it ("remember we found this out?"). I liked seeing my hands-on carpentry minded student getting super into it and taking extreme care in his measurements.

• I split the investigations/shapes among groups because of time. I think this really helped students remember the properties based on hand-on practice, instead of rote memorization. Thank you!

• This was a great activity and the kids remember the properties much better!

• This provided good practice measuring with a ruler and protractor. It did take 2 class periods - I ended up assigning each student 2 or 3 shapes depending on their speed and then had them meet with others to pair/group share to come up with this properties. Good activity!

Total Pages
13 pages
Answer Key
Teaching Duration
50 minutes
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to see state-specific standards (only available in the US).
Prove theorems about parallelograms.


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