geo ch 4.2.notebook - ISD Sitessites.isdschools.org/bjones/useruploads/geometry/geo ch 4.2...
Transcript of geo ch 4.2.notebook - ISD Sitessites.isdschools.org/bjones/useruploads/geometry/geo ch 4.2...
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geo ch 4.2.notebook
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November 14, 2013
Bellwork: How and why are the angles related?
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Chapter 4.2: Apply Congruence and Triangles
Congruent Not Congruent
Figures that are congruent have congruent corresponding parts.
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geo ch 4.2.notebook
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November 14, 2013
If Then....
AB
C Z
Y X
ex. Write a congruence statement from the picture and list the corresponding parts.
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geo ch 4.2.notebook
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ex. In the diagram, DEFG SPQRFind the value of x and y.
ex. If you divide the wall into orange and blue sections along JK, will the sections of the wall be the same size and shape? Explain.
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geo ch 4.2.notebook
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November 14, 2013
Theorem 4.3: Third Angles Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
WHY???? PICTURE???
PROOF...
ex. Find m<BDC
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ex. Write a proofGiven: AD CB, DC BA, <ACD <CAB, <CAD <ACBProve: ΔACD ΔCAB
If and , then
Theorem 4.4: Properties of Congruent Triangles
Reflexive:
Symmetric:
Transitive:
If , then
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Homework: Chapter 4.2 pg.228 #'s 3,58,11,12,16,20,26