4th Grade Lines, Rays and Classifying Shapes Worksheet Solutions (PDF)
Grade 4 · Common Core State Standards: 4.G.A.1, 4.G.A.2
Exercise 1 – Name the figures
Two endpoints: line segment. One endpoint: ray. No endpoints and arrows both ways: line.
segment, ray, line
Exercise 2 – Count the endpoints
A segment has 2, a ray has 1, and a line has 0.
2, 1, and 0
Exercise 3 – Parallel or perpendicular
- Opposite edges never meet: parallel.
- A wall meets the floor at a right angle: perpendicular.
- Rails stay the same distance apart: parallel.
parallel, perpendicular, parallel
Exercise 4 – Name the angles
A is 55°, less than 90°: acute. B is 90°: right. C is 125°, more than 90°: obtuse.
A acute, B right, C obtuse
Exercise 5 – Draw a segment
Draw a straight piece with a dot at each end and label the dots.
Segment MN
Exercise 6 – Draw perpendicular lines
Draw one line. Use the corner of a card to draw a second line that crosses it at 90°. Mark the square.
Two lines crossing at 90°
Exercise 7 – Count the right angles
Each corner has a small square. There are 4 corners.
4 right angles
Exercise 8 – Count parallel sides
The top and bottom sides are marked with arrows. The slanted sides are not parallel.
1 pair
Exercise 9 – Classify triangles
- All angles are less than 90°: acute.
- It has a 90° angle: right.
- It has a 120° angle, which is more than 90°: obtuse.
acute, right, obtuse
Exercise 10 – Is it a right triangle?
One corner has a small square, so it is a right angle.
Yes, it is a right triangle.
Exercise 11 – Name the quadrilateral
Four right angles make a rectangle. All sides equal makes it a square.
a square
Exercise 12 – Complete the table
- Rectangle: 2 pairs, 4 right angles.
- Slanted parallelogram: 2 pairs, 0 right angles.
- Trapezoid with slanted sides: 1 pair, 0 right angles.
- Right triangle: 0 pairs, 1 right angle.
2 and 4; 2 and 0; 1 and 0; 0 and 1
Exercise 13 – Always, sometimes, never
- A square always has 4 right angles.
- Two right angles leave no room for a third side, so never.
- Some quadrilaterals, like rectangles, have right angles, and some, like slanted parallelograms, do not: sometimes.
always, never, sometimes
Exercise 14 – Perpendicular corners
Each corner is a pair of sides meeting at 90°. A rectangle has 4 corners, so 4 pairs.
4 pairs
Exercise 15 – City map
Main St and Oak St stay the same distance apart and never meet: parallel.
1st Ave crosses Main St at 90°: perpendicular.
Parallel: Main St and Oak St. Perpendicular: 1st Ave and Main St
Exercise 16 – Picture frame
Four right angles and opposite sides parallel make a rectangle.
A square needs all sides equal, but 12 in is not 8 in.
A rectangle; no, it is not a square
Exercise 17 – Wooden ramp
It has one 90° angle, so it is a right triangle.
30° and 60° are both less than 90°, so there are 2 acute angles.
Right triangle; 2 acute angles
Exercise 18 – Clock angles
2:00: hands are 2 numbers apart, \(2 \times 30 = 60\)°, acute.
3:00: \(3 \times 30 = 90\)°, right.
5:00: \(5 \times 30 = 150\)°, obtuse.
acute, right, obtuse
Exercise 19 – Floor tiles
Four sides with two pairs of parallel sides: a parallelogram.
A rectangle needs four right angles, and these tiles have none.
A parallelogram; not a rectangle
Exercise 20 – Flag design
Rectangle: 4. Right triangle: 1. Trapezoid: 2.
\(4 + 1 + 2 = 7\).
7 right angles
All Grade 4 chapters: Grade 4 math.
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