Virginia SOL 6.MG.4

6.MG.4 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 6.MG.4.a

  Identify regular polygons.

• 6.MG.4.b

  Draw lines of symmetry to divide regular polygons into two congruent parts.

• 6.MG.4.c

  Determine the congruence of segments, angles, and polygons given their properties.

• 6.MG.4.d

  Determine whether polygons are congruent or noncongruent according to the measures of their sides and angles.

01

What Students Need to Do

Students compare lengths and angle measures to decide whether segments, angles, and polygons are congruent. They identify polygons with equal sides and angles, then draw symmetry lines that make matching halves.

02

What Mastery Looks Like

Students state that matching segment lengths and matching angle measures show congruence. They match corresponding sides and angles in polygons, even when a figure is turned or flipped. They identify regular polygons and draw valid symmetry lines.

03

Common Misconceptions

Students may think figures are not congruent when one is rotated or reflected. They may compare only side lengths and ignore corresponding angles. They may call any equal-sided polygon regular or assume every diagonal is a symmetry line.

04

How to Assess It

Give students two labeled quadrilaterals, one rotated, and a regular hexagon. Ask them to justify whether the quadrilaterals are congruent and draw all symmetry lines on the hexagon.

1. 01

   Trace and cut out polygon pairs, then rotate or flip each cutout to test whether it exactly covers its partner.

2. 02

   Show two rotated quadrilaterals and ask, “What measurements prove they are congruent, and which vertices correspond?”

3. 03

   Play Congruence Match: students pair cards showing polygons, side lengths, and angle measures, then explain each match to a partner.

4. 04

   Measure a scale drawing of a stop sign, decide whether it is regular, and draw every line of symmetry.

• 4.MG.4

  The student will identify, describe, and draw points, rays, line segments, angles, and lines, including intersecting, parallel, and perpendicular lines.

• 7.MG.4

  The student will apply dilations of polygons in the coordinate plane.

• 7.MG.3

  The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals.