IM Geometry Unit 2 Lesson 12
Playing with Parallelograms
Here are some conjectures:
- All rectangles are parallelograms.
- If a parallelogram has (at least) one right angle, then it is a rectangle.
- If a quadrilateral has 2 pairs of opposite sides that are congruent, then it is a parallelogram.
- If the diagonals of a quadrilateral both bisect each other, then the quadrilateral is a parallelogram.
- If the diagonals of a quadrilateral both bisect each other and they are perpendicular, then the quadrilateral is a rhombus.
- Pick one conjecture and use technology to convince yourself it is true.
- Rewrite the conjecture to identify the given information and the statement to prove.
- Draw a diagram of the situation. Mark the given information and any information you can figure out for sure.
IM G Unit 2 Lesson 12 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/2/12/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.