[list=1][*]Which figures (if any) are always rectangles? Which figures can be dragged to make a [b]rectangle[/b]?[/*][/list]
[list=1][*]Which figures (if any) are always parallelograms? Which figures can be dragged to make a [b]parallelogram[/b]?[/*][/list]
Here are some conjectures:[br][list][*]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.[/*][/list]
[list=1][*]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.[/*][/list]
[list=1][*]Write a rough draft of how you might prove your conjecture is true.[/*][/list]
IM G Unit 2 Lesson 12 from IM Geometry by Illustrative Mathematics, [url=https://im.kendallhunt.com/HS/students/2/2/1/index.html]https://im.kendallhunt.com/HS/students/2/2/12/index.html[/url]. Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url].