Virginia SOL 6.MG.4.c
The Standard
Determine the congruence of segments, angles, and polygons given their properties.
Virginia Standards of Learning for Mathematics · The student will determine congruence of segments, angles, and polygons.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether segments, angles, or polygons are congruent by comparing their measurements and properties. They identify matching parts and explain why the figures have the same size and shape.
What Mastery Looks Like
- Students correctly match corresponding sides, angles, and vertices. They use equal lengths and angle measures to decide congruence, even when a figure is rotated, reflected, or moved.
Common Misconceptions
- Students may think figures must face the same direction to be congruent. They may match polygons by appearance without checking corresponding sides and angles. Some confuse congruent measures with parallel lines or similar figures.
How to Assess It
- Give students two labeled quadrilaterals, with one rotated, and ask, “Are they congruent? List the measurements or properties that prove your answer.”
Lesson moves
Ways to Teach It
Give pairs of paper polygons for students to cut out, rotate, reflect, and overlay to test whether corresponding parts match.
Ask students to explain why two polygons can look alike but not be congruent, using side lengths and angle measures as evidence.
Play a matching game where students pair segment, angle, and polygon cards with congruent partners from a shuffled set.
Have students compare two floor tile designs and decide whether the repeated shapes are congruent despite changes in position or direction.
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Printable 6.MG.4.c Worksheet
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Related Standards
- 6.MG.4.d
Determine whether polygons are congruent or noncongruent according to the measures of their sides and angles.
- 4.MG.5.e
Denote properties of quadrilaterals and identify parallel sides, congruent sides, and right angles by using geometric markings.
- 6.MG.4
The student will determine congruence of segments, angles, and polygons.
- 5.MG.3.c
Identify congruent sides and right angles using geometric markings to denote properties of triangles.
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