2nd grade sides & vertices worksheets

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Second grade sheets widen the lineup: pentagons, octagons, rhombuses, trapezoids, and general quadrilaterals join the first grade shapes, so answers run from three up to eight. The question stays the same: count the sides or vertices and write the number.

Free printable PDF worksheet, aligned to Common Core 2.G.A.1.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Count the straight sides and vertices of each shape.

  1. How many corners does a triangle have?

    Answer: Three corners.

Most problems on this sheet sit beside a picture, model or diagram, so this is the worked example the sheet itself prints. The answer key on page two prints the answer under every problem.

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on a 2nd grade sheet

The sample sheet above has 9 problems. Its answers run from 0 to 8. On the 1st grade sample they run from 0 to 6. This sheet is aligned to 2.G.A.1. The 1st grade sheet is aligned to 1.G.A.1.

Every version prints on US Letter or A4, with its answer key after the problems.

How to teach this

The octagon is where careless tracing falls apart, so keep the dot-and-count habit going even when the shape looks easy. When a rhombus or trapezoid comes up, ask what family it belongs to: four sides means quadrilateral, no matter how slanted it looks. If your child answers instantly from the shape's name, that's fine; the counting already did its job.

Watch for: Kids count a corner twice when they trace around without marking a start. Put a dot on the first corner and stop when you come back to it. Kids mix up sides and vertices. Sides are the straight edges, vertices are the corners where two edges meet, and closed shapes have the same number of each.

Common questions about 2nd grade sides & vertices

What does quadrilateral mean on these sheets?
Any shape with four sides: squares, rectangles, rhombuses, and trapezoids all qualify. Some problems show a four-sided shape with no special name at all, and the counts still work the same way.
What counts show up in grade 2?
Everything from three to eight: triangles and quadrilaterals through pentagons, hexagons, and octagons, matching the shape list in 2.G.A.1.

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Aligned to Common Core 2.G.A.1. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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