Florida B.E.S.T. MA.912.GR.2.8
The Standard
Apply an appropriate transformation to map one figure onto another to justify that the two figures are similar.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students choose translations, rotations, reflections, and dilations that align corresponding parts of two figures. They use the transformation sequence and scale factor to justify similarity.
What Mastery Looks Like
- Students identify corresponding vertices and choose a valid dilation and rigid motion sequence. They state the scale factor, describe each transformation, and confirm that every vertex aligns.
Common Misconceptions
- Students may use only translations, rotations, or reflections even when the figures have different sizes. They may reverse corresponding vertices or use an incorrect scale factor. Some think matching angle measures alone gives a complete transformation sequence.
How to Assess It
- Give triangles A[(0,0),(2,0),(0,1)] and B[(1,1),(5,1),(1,3)]. Ask students to name the transformations that align A with B and verify each vertex.
Lesson moves
Ways to Teach It
Give pairs cut from grid paper, then have students use tracing paper to test dilations, rotations, reflections, and translations.
Ask students to explain why rigid motions alone cannot align two similar figures with different side lengths.
Play a card sort matching coordinate figure pairs with transformation sequences, scale factors, and corresponding vertex lists.
Resize a simple logo for two posters, then describe the dilation and movement needed to place each copy correctly.
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Printable MA.912.GR.2.8 Worksheet
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Related Standards
- MA.912.GR.2.3
Identify a sequence of transformations that will map a given figure onto itself or onto another congruent or similar figure.
- MA.912.GR.2
Apply properties of transformations to describe congruence or similarity.
- MA.8.GR.2.1
Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.
- MA.912.GR.2.6
Apply rigid transformations to map one figure onto another to justify that the two figures are congruent.
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