Lines, angles and shapes: printable worksheets

Name points, lines, rays and angles, classify triangles and quadrilaterals and find lines of symmetry.

Sample worksheet

The first 2 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.

Classify the triangle by its angles and by its sides.

Show answers

1.obtuse isosceles

2.obtuse isosceles

What students practise

I can sort and name shapes by their sides, angles and parallel lines.

Students use sides, angles and parallel and perpendicular lines to name, compare and classify two-dimensional shapes, see that a category shares its attributes with every subcategory, and find lines of symmetry.

Key words

quadrilateral: a shape with four straight sides
parallel: lines that stay the same distance apart and never cross
perpendicular: lines that cross to make a right angle
right angle: a square corner
line of symmetry: a fold line that makes the two halves match

Common mistakes

Calls a turned square a diamond and says it is not a square.
Draws or names a line without arrows, as if it were a segment.
Thinks a square cannot also be a rectangle.

Standards

Common Core State Standards this worksheet practises.

4.G.A.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. (unverified)
4.G.A.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (unverified)
4.G.A.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. (unverified)

Before this: Shapes and their attributes (Grade 3)
Next: Classifying shapes (Grade 5)