4th Grade Lines, Rays and Classifying Shapes Worksheets with Answers (Free PDF)

4th grade lines and angles worksheet – Maths PDF

Cover of the book Grade 4 Math Worksheets with Answers (PDF)

Download as a PDFThe Grade 4 worksheets book with answersPrintable PDFSee the book ›

Sommaire

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

Key takeaway: This worksheet helps fourth grade students practice naming lines, rays, and segments, identifying parallel and perpendicular lines, and classifying angles, triangles, and quadrilaterals.

Topic: Lines, Rays and Classifying Shapes (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.G.A.1, 4.G.A.2
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice naming lines, rays, and segments, identifying parallel and perpendicular lines, and classifying angles, triangles, and quadrilaterals. Also, pictures, drawings, and everyday objects connect each term to something familiar.

There are 20 problems. The first six name figures and draw segments and perpendicular lines, and the next four count right angles and parallel sides and classify triangles. Then, four more sort quadrilaterals with a table and a game of always, sometimes, or never. Also, the last six are real situations with a city map, a picture frame, a ramp, a clock, floor tiles, and a flag. Then, allow about 30 minutes.

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

4th grade lines and angles worksheet: worksheet problems 1 to 10

1 – Name the figures

First, 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.

2 – Count the endpoints

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

3 – Parallel or perpendicular

Then, 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.

4 – Name the angles

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

Angles A, B, and C.

5 – Draw a segment

Also, draw a line segment. Label its endpoints M and N and write its name.

6 – Draw perpendicular lines

First, draw two lines that are perpendicular. Mark the right angle with a small square.

7 – Count the right angles

Next, how many right angles does this rectangle have?

Rectangle.

8 – Count parallel sides

Then, how many pairs of parallel sides does this trapezoid have?

Trapezoid.

Worksheet problem 9 and after

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°.

10 – Is it a right triangle?

Also, is this triangle a right triangle? Explain.

Triangle.

Worksheet problems 11 and up

11 – Name the quadrilateral

First, a quadrilateral has 4 right angles and 4 equal sides. What is its name?

12 – Complete the table

Next, 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	?	?

13 – Always, sometimes, never

Then, 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.

14 – Perpendicular corners

Now, 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.

15 – City map

Also, 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.

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?

17 – Wooden ramp

Next, 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?

Worksheet problem 18 and after

18 – Clock angles

Then, 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.

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?

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 4th grade lines and angles 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°.
Then, a right triangle has exactly one right angle.
Quadrilaterals are sorted by pairs of parallel sides and by right angles.

Common mistakes with this 4th grade lines and angles worksheet

Students label a wall and the floor as parallel. They meet at a corner, so they are perpendicular.
Students call a frame a square because it has four square corners. Instead, if the sides are different lengths, the shape is a rectangle.
Students name a slanted four sided tile a rectangle. A rectangle needs right angles, so with none it is a parallelogram.
Students label a clock angle of exactly 90 degrees obtuse. Also, the hands make a right angle when the angle is exactly 90 degrees.

Tips before you start the worksheet problems

Use the corner of a card as a right angle tester. Also, it is faster and more accurate than guessing by eye.
Draw each shape described in words before you name it. Then, a quick sketch shows which properties it has.
Teachers can ask students to name a real object for each figure, such as a ray of sunlight or a ruler edge.

Download the 4th grade lines and angles worksheet as a PDF with the button below and keep it with your notes.

4th grade lines and angles worksheet: frequently asked questions

How do you classify a triangle from its angles?

Look at the largest angle. Also, if it is less than 90 degrees, the triangle is acute. If it is exactly 90 degrees, it is a right triangle. If it is greater than 90 degrees, it is obtuse.

What does always, sometimes, or never mean in a sorting game?

Always means true for every shape of that kind, never means false for every one, and sometimes means true for some but not all. A square always has four equal sides, and a triangle never has four sides.

How many pairs of perpendicular sides does a rectangle have?

A rectangle has four pairs of perpendicular sides, one at each corner. Each corner is a right angle, so the two sides that meet there are perpendicular. Opposite sides are parallel, not perpendicular. A quick check like this takes only a few seconds and prevents most errors.

All Grade 4 chapters: Grade 4 math.

Voter.. post

Free printable PDF