Virginia SOL 7.MG.2.c
The Standard
Given two similar quadrilaterals or triangles, write similarity statements using symbols.
Virginia Standards of Learning for Mathematics · The student will solve problems and justify relationships of similarity using proportional reasoning.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify which vertices, angles, and sides correspond in two similar polygons. They name both figures in matching order and connect the names with the similarity symbol.
What Mastery Looks Like
- Students correctly match every vertex in two similar triangles or quadrilaterals. They write the names in corresponding order on both sides of the similarity symbol, even when a figure is rotated or reflected.
Common Misconceptions
- Students may use the congruence symbol instead of the similarity symbol. They may list vertices by position on the page rather than matching corresponding angles and sides.
How to Assess It
- Show two labeled similar triangles, with one rotated. Ask students to mark corresponding vertices and write one correct similarity statement.
Lesson moves
Ways to Teach It
Give pairs of labeled shape cutouts; students rotate them, color corresponding vertices, and write each similarity statement.
Display a similarity statement and ask students to explain how its vertex order identifies matching angles and sides.
Run a card sort where students match diagram pairs to correctly ordered similarity statements and remove statements with mismatched vertices.
Compare a small floor plan with an enlarged copy, label matching corners, and write a similarity statement for the room outlines.
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Related Standards
- 7.MG.2.d
Write proportions to express the relationships between the lengths of corresponding sides of similar quadrilaterals and triangles.
- 7.MG.2.a
Identify corresponding congruent angles of similar quadrilaterals and triangles, through the use of geometric markings.
- 7.MG.2.b
Identify corresponding sides of similar quadrilaterals and triangles.
- 7.MG.2.e
Recognize and justify if two quadrilaterals or triangles are similar using the ratios of corresponding side lengths.
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