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# 4-1 Corresponding Parts In A Congruence

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### 4-1 Corresponding Parts In A Congruence

1. 1. 4-1Corresponding Parts in a Congruence
2. 2. <ul><li>Congruent </li></ul><ul><ul><li>Figures with the same shape and size </li></ul></ul>
3. 3. Corresponding Parts (What matches up) A C B X Z Y Corresponding vertices A <--> X B <--> Y C <--> Z ?
4. 4. Corresponding Parts (What matches up) A C B X Z Y Corresponding angles A <--> X B <--> Y C <--> Z ?
5. 5. Corresponding Parts (What matches up) A C B X Z Y Corresponding sides AB <--> XY BC <--> YZ CA <--> ZX ?
6. 6. Question <ul><li>If two triangles are the same shape what can we conclude? </li></ul><ul><ul><li>Their sides are the same </li></ul></ul><ul><ul><li>Their angles are the same </li></ul></ul><ul><ul><li>They are congruent </li></ul></ul>
7. 7. Question <ul><li>If two triangles are the same size what can we conclude? </li></ul><ul><ul><li>Their sides are the same </li></ul></ul><ul><ul><li>Their angles are the same </li></ul></ul><ul><ul><li>They are congruent </li></ul></ul>
8. 8. Congruent Triangles <ul><li>Two Triangles are congruent if and only if their vertices match up so corresponding parts are congruent </li></ul>
9. 9. Congruent Triangles <ul><li>Corresponding parts of congruent triangles are congruent. </li></ul><ul><li>Corr. parts of are </li></ul>s
10. 10. <ul><li>ABCDE PRQST </li></ul>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.
11. 11. SPICSA <ul><li>Page 120 1-10,20,24 </li></ul>