Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

What Is What Is Congruence?Congruence?

Congruence = Congruence = MatchingMatching

If two shapes are If two shapes are congruentcongruent they match they match exactly in shape exactly in shape andand in sizein size

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

For For Example:Example:

These two These two triangles are triangles are congruentcongruent

They are exactly They are exactly the same the same shapeshape

They are exactly They are exactly the same the same sizesize

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Some More Some More Examples:Examples:

Congruent Congruent circles!circles!

Congruent Congruent stars!stars!

Congruent Congruent hearts!hearts!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Sometimes shapes are Sometimes shapes are turned in a different turned in a different direction, but if they direction, but if they

have the same shape and have the same shape and the same size, they are the same size, they are

congruentcongruent..

All of these hearts are All of these hearts are congruent!congruent!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Are these two Are these two shapes shapes

congruent?congruent?

YES! They are the SAME size YES! They are the SAME size and shape!and shape!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Are these two Are these two shapes shapes

congruent?congruent?

YES! Even though you have to YES! Even though you have to rotate one of them, they are the rotate one of them, they are the

SAME size and shape!SAME size and shape!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Are these shapes Are these shapes congruent?congruent?

No! They are No! They are notnot the same the same shapeshape,,

so they are so they are notnot congruentcongruent!!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Are these shapes Are these shapes congruent?congruent?

No! They are No! They are notnot the same the same sizesize,,

so they are so they are notnot congruentcongruent!!

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Can you match Can you match the congruent the congruent

shapes?shapes?

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

The others are NOT The others are NOT congruentcongruent

– – can you explain can you explain why?why?

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Let’s try some Let’s try some more! more!

Can you match the Can you match the congruent shapes?congruent shapes?

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

The others are NOT The others are NOT congruentcongruent

– – can you explain can you explain why?why?

Created by Sooz Williams ©2005Created by Sooz Williams ©2005

Can you find Can you find congruencecongruence in in

the world the world around you?around you?

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