January 4, 2012

Activity in the Beckman book: (state your logic, provide needed justification, but the obvious justification)

1. vertical angles are congruent
2. __

3 things that are undefined

1. Point
   What is a point? how big is it? does it have a size? can we measure the size of a point? Can you define a point without using the word point?
2. Line
   What is a line? A line is a series of points.  Since you can't define a point, you can't define a line.  How wide is a line?  You can't measure that.
3. Plane
   You can't measure the depth of a plane.  You can measure the width and height.

Activity - Take pictures of lines, planes and points in the "real world"

Similar -

Two types of comparisons you can make in similar shapes. You can compare corresponding sides, or the dimensions within the shapes.  (You are comparing the ratios)

The angles have to be the same in similar objects.

Two types of questions that you might be asked:

1. Prove that two objects are similar
2. Find a missing side link

Finding the side of similar objects.  (I apologize that some pics are sideways)

Triangle Congruencies

Video that talks about congurent triangles

• SSS (side, side, side)
• SAS (side, angle, side)
• AAS (angle, angle, side)
• ASA (angle, side, angle)
• HL (hypotenuse leg)

Polygon Congruence

video that talks about congruent polygons

Differentiation Lesson Plan (check class syllabus to see requirements)