3-6 Constructing Parallel and Perpendicular Lines
Objective
To construct parallel and perpendicular lines
Dynamic Activity
Constructing Parallel and Perpendicular Lines
In the Solve It, you used paper-folding to construct lines.
Essential Understanding You can also use a straightedge and a compass to construct parallel and perpendicular lines.
In Lesson 3-5, you learned that through a point not on a line, there is a unique line parallel to the given line. Problem 1 shows the construction of this line.
Problem 1 Constructing Parallel Lines
Construct the line parallel to a given line and through a given point that is not on the line.
Given: line l and point N not on l
Construct: line m through N with
Think
What type of angles are
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Step 1 Label two points H and J on l. Draw
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Step 2 At N, construct
Label the new line m.
✓ Got It?
- Reasoning Why must lines l and m be parallel?
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs