Lessons

1. Basics
2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates

Constructions

Objective:

• To be able to make some basic construction.

Lesson 10-1 Construction

Construction is a way to make perfect geometry shapes with only a compass and a straightedge. In this lesson you will need to acquire a compass and a straight edge.  Let's start right off by learning how to construct a segment.

 Construct: Line 1. Use a straightedge to draw a line. Call it L. 2. Chose any point on the line and label it A 3. Pick a spot on the line with the compass and draw an arc. (using A as the center) Label that intersection on that line 'B'.

To Construct and angle congruent to a given angle

 Construct: Angle 1. Draw a ray. Label it Ray RY 2. Using B as center and any radius, draw an arc intersecting segment BA and segment BC. Label the points of intersection D and E, respectively. 3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S the point where the arc intersects ray RY.. 4. using S as center and a radius equals to DE, draw an arc that intersects arc XS at a point Q. 5. Draw Ray RQ.Now  / QRS is congruent to / ABC

To construct the bisector of the angle

 Construct: Bisector of an angle 1. using B as center and any radius, draw an arc that intersects ray BA at X and ray BC at Y 2.  Using X as center and a suitable radius, draw an arc. Using Y as center and a suitable radius, draw an arc that intersects the arc with center X at point Z. 3. Draw ray BZ Now ray BZ is bisects to / ABC

Quickie Math Copyright (c) 2000 Team C006354