Learning

Lessons

1. Basics
2. Deductive Reasoning

3 - Parallel lines

4 - Congruent Triangles

5 - Quadrilaterals

6 - Inequalities

7 - Similar Polygon

8 - Rt. Triangles

9 - Circles

10 - Constructions

11 - Areas of 2D objects

12 - Areas and Volumes

13 - Coordinates

Perpendicular Lines (construction)

Objective:

• To be able to make some perpendicular lines construction.

Lesson 10-2 Perpendicular Lines.

We all know what a perpendicular line is (intersection that forms an 90º angle), so let's jump right into the construction.

Construct: Perpendicular Line Way #1 (Segment)

1.Using any radius greater than ½AB, draw four arcs of equal radii, two with center A and two with center B. Label the points of intersections of there arcs X and Y

2. Draw line XY

Construct: Perpendicular Line Way #2 (Point Of Line)

1. Using C as the center and any radius, draw arcs intersecting k at X and Y

2. Using X as the center and a radius greater than CX, draw an arc. Using Y as center and the same radius, draw and arc intersecting the arc with center X at a point Z.

3. Draw line CZ.

Construct: Perpendicular Line Way #3 (Point Outside)

1. Using P as center, draw two arcs of equal radii that intersect k at points X and Y.

2. Using X and Y as centers and a suitable radius, draw arcs that intersects at a point Z.

3. Draw line PZ.