 # Perpendicular Lines

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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades

Videos, examples, solutions, and lessons to help Grade 4 students learn how to identify, define, and draw perpendicular lines.

Common Core Standards: 4.G.1

### New York State Common Core Math Grade 4, Module 4, Lesson 3

NYS Math Module 4 Grade 4 Lesson 3 Application Problem

1. Use a straight edge to draw and label line segment AB, CD, and EF as modeled on the board.
2. Estimate to draw point X halfway up line segment AB.
3. Estimate point Y halfway up line segment CD.
4. Draw horizontal line segment XY. What word did you write?
5. Erase segment XY. Draw segment CF. What word did you draw? Lesson 3 Concept Development

Problem 1: Define perpendicular lines. Perpendicular lines are lines that intersect at right angles.
Problem 2: Identify perpendicular lines by measuring right angles with a right angle template.
Problem 3: Recognize and write symbols for perpendicular segments.

Lesson 3 Problem Set

1. On each object, trace at least one pair of lines that appear to be perpendicular. 2. How do you know if two lines are perpendicular?
3. In the square and triangular grids below, use the given segments in each grid to draw a line that is perpendicular using a straightedge.
4. Use the right angle template that you created in class to determine which of the following have a right angle. Mark each right angle with a small square. For each right angle you find, name the corresponding pair of perpendicular lines. (See 4(a) for one example of this.)
5. Mark each right angle in the following figure with a small square. (Note that a right angle does not have to be inside the figure.) How many pairs of perpendicular sides does this figure have?
6. True or false? Shapes that have at least one right angle also have at least one pair of perpendicular sides. Explain your thinking.

Lesson 3 Homework

1. On each object, trace at least one pair of lines that appear to be perpendicular.
2. How do you know if two lines are perpendicular?
3. In the square and triangular grids below, use the given segments in each grid to draw a line that is perpendicular using a straightedge.
4. Use the right angle template that you created in class to determine which of the following have a right angle. Mark each right angle with a small square. For each right angle you find, name the corresponding pair of perpendicular lines. (See 4(a) for one example of this.)
5. Mark each right angle in the following figure with a small square. (Note that a right angle does not have to be inside the figure.) How many pairs of perpendicular sides does this figure have?
6. True or false? Shapes that have at least one right angle also have at least one pair of perpendicular sides. Explain your thinking.

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