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UNDERSTANDING GEOMETRIC CONCEPTS


Geometric lines are found all around us.  In this unit, we will examine parallel lines, perpendicular lines, skew lines, line segments, rays, and angles. The three angles in a triangle share a special relationship.  We will explore this special connection. We will examine line segments, paths, and congruency.  We will work with pattern blocks to discover some geometric math properties and also have fun creating some beautiful geometric designs. 

Geometry Vocabulary

 
Here are some terms to know in the study of geometry.




Sum of Angles in a Triangle




Paths

 

In the given diagram drawn on the grid below, find all line segments that are the same length.  You may use combinations of segments together to equal one length.  Use two letters, at the corners of the path, to name the segments.




The answers are provided below.  Note:  Some questions may have more than one answer.

 



Congruent Shapes and Pattern Blocks

 

Congruent shapes – shapes that are the same size and the same shape.

 

You can make an endless collection of designs using pattern blocks. Pattern blocks are made up of congruent parallelograms (blue), congruent hexagons (yellow), congruent trapezoids (red) and congruent triangles (green).


Click here to print several copies of "Pattern Blocks", and then cut out the shapes to make your own design.




Below are additional educational resources and activities for this unit.
 
Click on the icon to find and practice topics for this unit.
 
Unit 23 Parallel Lines Worksheet
 
Unit 23 Perpendicular Lines Worksheet
 
Click here to watch a video on parallel and perpendicular lines.