4-1 Corresponding Parts In A Congruence

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Published on October 31, 2008

Author: davehohman

Source: slideshare.net

4-1Corresponding Parts in a Congruence

Congruent Figures with the same shape and size

Congruent

Figures with the same shape and size

Corresponding Parts (What matches up) A C B X Z Y Corresponding vertices A <--> X B <--> Y C <--> Z ?

Corresponding Parts (What matches up) A C B X Z Y Corresponding angles A <--> X B <--> Y C <--> Z ?

Corresponding Parts (What matches up) A C B X Z Y Corresponding sides AB <--> XY BC <--> YZ CA <--> ZX ?

Question If two triangles are the same shape what can we conclude? Their sides are the same Their angles are the same They are congruent

If two triangles are the same shape what can we conclude?

Their sides are the same

Their angles are the same

They are congruent

Question If two triangles are the same size what can we conclude? Their sides are the same Their angles are the same They are congruent

If two triangles are the same size what can we conclude?

Their sides are the same

Their angles are the same

They are congruent

Congruent Triangles Two Triangles are congruent if and only if their vertices match up so corresponding parts are congruent

Two Triangles are congruent if and only if their vertices match up so corresponding parts are congruent

Congruent Triangles Corresponding parts of congruent triangles are congruent. Corr. parts of are s

Corresponding parts of congruent triangles are congruent.

Corr. parts of are

ABCDE PRQST Congruent Polygons A E D C B T S R Q P Two polygons are congruent if and only if their vertices can be matched up so that their corresponding parts are congruent.

ABCDE PRQST

SPICSA Page 120 1-10,20,24

Page 120 1-10,20,24

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