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# Geom 4point2

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### Transcript

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