# 7. Determine which transformation(s) took place (FP)

teaches Common Core State Standards CCSS.Math.Content.8.G.A.1 http://corestandards.org/Math/Content/8/G/A/1
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1a http://corestandards.org/Math/Content/8/G/A/1/a
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1b http://corestandards.org/Math/Content/8/G/A/1/b
teaches Common Core State Standards CCSS.Math.Content.8.G.A.1c http://corestandards.org/Math/Content/8/G/A/1/c
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Determine whether or not a transformation took place.

This lesson helps to build procedural skill with determining whether or not a transformation took place. Students learn to recognize that in order for a transformation to have taken place, the preimage and image must be congruent. This work develops students' understanding that side lengths and angle measurements stay the same when figures undergo a rigid transformation.

Students engage in Mathematical Practice 6 (Attend to Precision) as they carefully analyze figures and potential images to determine whether or not shapes are congruent and therefore to determine whether or not a specific transformation could have taken place.

Key vocabulary:

• angle
• congruent
• line
• ray
• reflection
• rotation
• segment
• translation

Special materials needed:

• protractors (optional)
• rulers (optional)

Note:  Students may want to use rulers and/or protractors when determining whether or not shapes are congruent.  These tools are useful, but not necessary to master the lesson objective.

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