#ILLUMINATIONS CONGRUENT TRIANGLES TRIAL#
#ILLUMINATIONS CONGRUENT TRIANGLES FREE#

This tool is a virtual manipulative that allows users to change triangle attributes and orientation to attempt to come up with pairs of triangles that are(n't) congruent to one another. As a standalone, however, students should develop a basic conceptual understanding of congruence. This tool alone may not be enough for the students to work on all of the proficiency standards, but through strategic lesson planning and guidance it could be. As students work through their explorations, they will likely get better at analyzing the attributes needed and may become better 'guess'-ers in the exploration. As such, students will likely have their own initial thoughts on which scenarios will work for triangle congruence and which won't work. Students will be exploring triangle congruence through their own means. Students should improve in time.Īdditional comments on what is being learned

#ILLUMINATIONS CONGRUENT TRIANGLES TRIAL#

PS-adaptive reasoning Students work on developing adaptive reasoning through continual trial and error with various combinations.PS-strategic competence Students work on strategic competency through experimentation with each of the various combinations of triangle components for congruence.PS-conceptual understanding Students work on developing a conceptual understanding of triangle congruence by developing and testing their own hypothesis'.NCTM-Geo-analyze - analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Students can work on any combination of elements that they choose and will have the ability to reason through each situation to help see why triangle congruence is or is not possible with their chosen combination. LA-Explore -Students should use this tool primarily as an exploration tool where they are seeking out combinations to create triangle congruence. This would help students to gain a basic conceptual understanding of congruent figures, and triangle congruence in particular. This could be used as a precursor for students studying triangle congruence to help them explore the idea and see for themselves why certain combinations work and others don't. Students can work through any combination of three triangle attributes to determine if triangle congruence is possible.

This tool can be used for an in-class or at-home exploration of the triangle congruence criteria. The tool works in multiple web browsers on computers.

#ILLUMINATIONS CONGRUENT TRIANGLES FREE#

Technical & Cost considerations: This is a free tool provided from Illuminations.

Students create their first triangle and then try to create exact copies of the triangle to determine congruence. Name & Link to Tech Tool or Tool homepage: Illuminations - Congruence Theoremsīrief Description of Tech Tool: This tool allows for students to explore the idea of triangle congruence through combining any three attributes of a triangle.

Illuminations congruent triangles