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# Geom 4point2

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### Geom 4point2

1. 1. 4.2 Congruence and Triangles Objectives: - Identify congruent figures and corresponding parts - Prove that 2 triangles are congruent
2. 2. Congruence <ul><li>Two geometric figures are congruent if they have exactly the same size and shape. </li></ul><ul><li>When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent. </li></ul>
3. 3. Congruence <ul><li>If QRS is congruent to ABC, which angles are congruent? </li></ul><ul><li>Which sides are congruent? </li></ul><ul><li>It is important to list the corresponding angles in the right order. SQR is congruent to CAB, NOT SRQ is congruent to ABC </li></ul>A B C Q R S
4. 4. Turn to page 203 <ul><li>And do Example 2 together </li></ul>
5. 5. Third Angles Theorem <ul><li>If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are also congruent. </li></ul>
6. 6. Now do Example 3 <ul><li>P. 203 </li></ul><ul><li>And Example 4 on 204 </li></ul><ul><li>And example 5 on 205 </li></ul>
7. 7. Properties of Congruent Triangles <ul><li>Reflexive Property of Congruent Triangles </li></ul><ul><ul><li>Every triangle is congruent to itself </li></ul></ul><ul><li>Symmetric Property of Congruent Triangles </li></ul><ul><ul><li>If ∆ ABC ~= ∆ DEF, then ∆ DEF ~= ∆ ABC </li></ul></ul><ul><li>Transitive Property of Congruent Triangles </li></ul><ul><ul><li>If ∆ ABC ~= ∆ DEF and ∆ DEF ~= ∆ JKL then ∆ ABC ~= ∆ JKL </li></ul></ul>
8. 8. Do p. 205 2-9, 23, 33 <ul><li>Homework: worksheets </li></ul><ul><li>Quiz tomorrow </li></ul>