Shapes, lines & angles worksheets – free PDFs, answer keys

Shapes 13 skills

Classifying quadrilaterals A shape can hold more than one name at once. Every square is also a rectangle, a rhombus, and a quadrilateral.
Classifying triangles A triangle gets its name from its angles or its sides. A square mark means a right angle, and matching ticks mean equal sides.
Comparing shapes Compare flat shapes by their sides and corners. Compare solid shapes by their faces, curved surfaces, edges, and corners. Alike and different both come from those questions.
Identifying 2d shapes A shape keeps its name no matter which way it turns. Count the sides and corners to find it.
Identifying 3d shapes Solid shapes take up space. Name the whole solid, not just the flat face you can see.
Lines of symmetry A line of symmetry is a fold line. Fold the shape there and the two halves match exactly.
Partitioning shapes Equal shares means every piece is exactly the same size, a fair share for everyone.
Position words Position words tell where one thing is compared with another. Find the thing the question names first, then look at where it sits.
Sides & vertices Sides are the straight edges and vertices are the corners. Mark where you start so you count each one just once.
Composing shapes Circle the piece that fills each dotted space. You may turn the pieces.
Composing shapes Circle the piece that fills each dotted space. You may turn the pieces.
Drawing lines of symmetry Draw one line of symmetry on each shape. More than one correct line may be possible.
Partitioning rectangles Finish each grid with equal squares. Then count the squares.

Lines & angles 4 skills

Classifying angles Compare every angle to a square corner: smaller is acute, an exact match is right, wider is obtuse, and a flat line is straight.
Lines, rays & segments Arrows mean the path never ends and dots mean it stops. Two arrows make a line, one arrow makes a ray, two dots make a segment.
Measuring angles Find the ray resting on 0 and count up from it. The long ticks are tens; the short tick halfway between two tens is 5 more.
Finding missing angles Find each missing angle. Think about complementary and supplementary angles.

Coordinate plane 3 skills

Coordinate plane In a coordinate pair, across comes first and up comes second. (3, 4) means go right 3, then up 4.
Coordinate plane lengths and areas Each grid square is 1 unit. Give coordinates as (x, y), lengths in units and areas in square units.
Polygons on the coordinate plane Complete the coordinates and side length. Plot and find polygon areas. Each grid square is 1 unit; write areas in square units.

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