4th Grade Lines, Rays and Classifying Shapes Worksheet (PDF)

4th Grade math worksheet: Lines, Rays and Classifying Shapes – Maths PDF

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This lines shapes worksheet for 4th Grade covers lines, rays and classifying shapes (Common Core 4.G.A.1, 4.G.A.2), with a free PDF to print.

These 20 problems practice naming points, lines, segments, and rays, spotting parallel and perpendicular lines, and classifying angles. You will also sort triangles and quadrilaterals by their angles and parallel sides. They match Common Core 4.G.A.1 and 4.G.A.2.

The last six problems are real-world word problems about maps, frames, ramps, clocks, tiles, and a flag.

Grade 4 · Common Core State Standards: 4.G.A.1, 4.G.A.2

Lines shapes worksheet: exercises 1 to 10

Exercise 1 – Name the figures

Name each figure: a straight path with two endpoints, a straight path with one endpoint that goes on forever, and a straight path that goes on forever both ways.

Point, line, segment, and ray.

Exercise 2 – Count the endpoints

How many endpoints does each figure have: a line segment, a ray, and a line?

Exercise 3 – Parallel or perpendicular

Write parallel or perpendicular: (a) two opposite edges of a ruler, (b) the wall and the floor where they meet, (c) the two rails of a train track.

Exercise 4 – Name the angles

Is each angle acute, right, or obtuse? The angle measures are 55°, 90°, and 125°.

Angles A, B, and C.

Exercise 5 – Draw a segment

Draw a line segment. Label its endpoints M and N and write its name.

Exercise 6 – Draw perpendicular lines

Draw two lines that are perpendicular. Mark the right angle with a small square.

Exercise 7 – Count the right angles

How many right angles does this rectangle have?

Rectangle.

Exercise 8 – Count parallel sides

How many pairs of parallel sides does this trapezoid have?

Trapezoid.

Exercise 9 – Classify triangles

Classify each triangle as acute, right, or obtuse using its angles: (a) 40°, 60°, 80°; (b) 35°, 55°, 90°; (c) 25°, 35°, 120°.

Exercise 10 – Is it a right triangle?

Is this triangle a right triangle? Explain.

Triangle.

Exercises 11 and up

Exercise 11 – Name the quadrilateral

A quadrilateral has 4 right angles and 4 equal sides. What is its name?

Exercise 12 – Complete the table

Complete the table with the number of pairs of parallel sides and the number of right angles.

Shape	Pairs of parallel sides	Right angles
Rectangle	?	?
Slanted parallelogram	?	?
Trapezoid with slanted sides	?	?
Right triangle	?	?

Exercise 13 – Always, sometimes, never

Write always, sometimes, or never: (a) A square has four right angles. (b) A triangle has two right angles. (c) A quadrilateral has a right angle.

Exercise 14 – Perpendicular corners

A rectangle has 4 corners. At each corner, two sides are perpendicular. How many pairs of perpendicular sides does a rectangle have?

Quadrilaterals. Little squares mark right angles and arrows mark parallel sides.

Exercise 15 – City map

Look at the map. Main St and Oak St run side by side. 1st Ave crosses both at right angles. Name a pair of parallel streets and a pair of perpendicular streets.

City map.

Exercise 16 – Picture frame

Jamal’s picture frame has four square corners. Opposite sides are parallel. The long sides are 12 in and the short sides are 8 in. What shape is it? Is it a square?

Exercise 17 – Wooden ramp

The side of Priya’s wooden ramp is a triangle with angles of 90°, 30°, and 60°. Classify the triangle. How many acute angles does it have?

Exercise 18 – Clock angles

On a clock, each number is 30° from the next. At each time, name the angle made by the hour and minute hands as acute, right, or obtuse: 2:00, 3:00, and 5:00.

Exercise 19 – Floor tiles

Ethan’s kitchen tiles each have 4 sides. Opposite sides are parallel, and no angle is a right angle. Classify the tile. Is it a rectangle? Why or why not?

Exercise 20 – Flag design

Diego sews three shapes on a flag: a rectangle, a right triangle, and a trapezoid with exactly two right angles. How many right angles are on the flag in all?

Diego’s flag pieces.

Key facts behind this lines shapes worksheet

Key facts

A line segment has two endpoints; a ray has one; a line has none.
Parallel lines never meet, and perpendicular lines meet at a right angle (90°).
Right angles are 90°, acute angles are less than 90°, and obtuse angles are greater than 90°.
A right triangle has exactly one right angle.
Quadrilaterals are sorted by pairs of parallel sides and by right angles.

How to use this lines shapes worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the lines shapes worksheet as a PDF with the button below and keep it with your notes.

All Grade 4 chapters: Grade 4 math.

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