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ACT
In this task, students are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the midpoints of a quadrilateral to form a new quadrilateral, then the new one is a parallelogram, even if the original one was not. Aligns with G-GPE.B.4 and G-GPE.B.5.
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CCSS:
Designed
Concepts
Additional Tags
prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems, use coordinates to prove simple geometric theorems algebraically, a midpoint miracle, cc by-nc-sa 4.0, ccss.math, creative commons attribution-noncommercial-sharealike 4.0, g-gpe.b.4, g-gpe.b.5, hsg-gpe.b.4, hsg-gpe.b.5, illustrative mathematics, illustrative mathematics: g-gpe a midpoint miracle hsg-gpe.b.4, hsg-gpe.b.5
Classroom Considerations
- Knovation Readability Score: 5 (1 low difficulty, 5 high difficulty)
- The intended use for this resource is Instructional|practice