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CONGRUENT AND SIMILAR SHAPES

Polygons whose angles and sides measure the same are congruent.  We will look at the congruent sides and angles for congruent triangles.

Similar polygons have same shape, but are different in size.  Their corresponding sides are proportional and corresponding angles are congruent. 

When polygons are congruent or are similar, depending on the given information, some of the missing angles can be determined.  We’ll look at how to determine missing angles for both congruent and similar shapes.

We’ll look at how to determine missing lengths for similar shapes by using proportions.

PYTHAGOREAN THEOREM

A special theorem, the Pythagorean Theorem, was developed for right triangles by a Greek mathematician named Pythagoras.  When two of the lengths of the sides of a right triangle are known, the length of the third side can be determined.  Right triangles and diagonal lengths are all around us and are especially useful in the building industry to firm up building structures.


Congruent Figures



Similar Figures



Congruent and Similar Shapes – Missing Angles



Similar Triangles – Missing Lengths



Pythagorean Theorem




Below are additional educational resources and activities for this unit.
 
Click on the icon to find and practice topics for this unit.
 
Similar Polygons
 
Pythagorean Theorem