Using Congruent Triangles Class Worksheet Part 2.

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Proving Triangles Congruent

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Presentation transcript:

Using Congruent Triangles Class Worksheet Part 2

Helpful Information Deducing information about segments and angles AFTER proving that the two triangles are congruent. Sometimes it will be helpful to plan the proof before you get started. Remember to start with the CPCTC always follows 2 congruent triangles. Start at the ends and fill in the middle last.

Popular Reasons in a Proof Definition of a midpoint Two Congruent Segments Definition of a bisector (or angle bisector) Two Congruent Segments (or angles) Reflexive Property Shared segments Transitive Property If a = b and b = c, then a = c. Symmetric Property If a = b, then b = a.

More Popular Reasons… Parallel Lines Alternate Interior Angles Corresponding Angles Same Side Interior Angles Vertical Angles Methods of Congruence SSS, SAS, ASA, AAS or HL

Complete the following proof: StatementsReasons Given 2. BD=BD2. 3. ∆BDA = ∆BDC3. 4. DA=DC4. 5. D is the midpoint of AC Def. of a seg. Bis.

Complete the following proof: StatementsReasons 1.AB=DC; AD=BC1. Given AB is parallel to DC 6.

Complete the following proof: StatementsReasons 1. Given 2. TQ=TQ2. 3. ∆RQT = ∆SQT3. 4. <RQT=<SQT4. 5.

Complete the following proof: StatementsReasons 1. AD=CD; DB bisects <CDA 1. Given AC is perpendicular to BD 6.

Complete the following proof: StatementsReasons 1. AB is parallel to PQ; AB=PQ 1. Given BZ = ZQ5.

Complete the following proof: StatementsReasons 1. BC=DC; <3=<41. Given AC bisect <BAD5.