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  • UT.MATH.II.G.CO.9
G-CO  Congruent angles made by parallel lines and a transverse
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
07/02/2018
Points Equidistant from Two Points in the Plane
Unrestricted Use
CC BY
Rating

This task is part of a series presenting important foundational geometric results and constructions which are fundamental for more elaborate arguments. They are presented without a real world context so as to see the important hypotheses and logical steps involved as clearly as possible.

Subject:
Secondary Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/11/2013
Remix
Proving Parallelograms:Social Media Shape Project
Only Sharing Permitted
CC BY-NC-ND
Rating

This lesson series is designed to teach students how to prove parallelograms by slope, distance and midpoints.  Students will have a performance assessment where they give their shape a personality and bring their shape to life.  They will then prove mathematically that their shape is, indeed, a paralellogram by each of the methods described. 

Subject:
Secondary Mathematics
Material Type:
Module
Author:
Rebecca
Date Added:
07/23/2021
Sum of Angles in a Polygon
Unrestricted Use
CC BY
Rating

This problem provides students with an opportunity to discover algebraic structure in a geometric context. More specifically, the student will need to divide up the given polygons into triangles and then use the fact that the sum of the angles in each triangle is 180_.

Subject:
Secondary Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Supplementary Angles
Restricted Use
Copyright Restricted
Rating

Open Middle provides math problems that have a closed beginning, a closed end, and an open middle. This means that there are multiple ways to approach and ultimately solve the problems. Open middle problems generally require a higher Depth of Knowledge than most problems that assess procedural and conceptual understanding.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Open Middle Math
Date Added:
04/26/2022
Tangent Lines and the Radius of a Circle
Unrestricted Use
CC BY
Rating

This task presents a foundational result in geometry, presented with deliberately sparse guidance in order to allow a wide variety of approaches. Teachers should of course feel free to provide additional scaffolding to encourage solutions or thinking in one particular direction. We include three solutions which fall into two general approaches, one based on reference to previously-derived results (e.g., the Pythagorean Theorem), and another conducted in terms of the geometry of rigid transformations.

Subject:
Secondary Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
11/13/2012