CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 4. Triangles and Congruence


TABLE4.4:


Statement Reason










    1. Reflexive PoC



  1. 4 ABC∼= 4 DCB 3.

  2. Is the pair of triangles congruent? If so, write the congruence statement and why.


Answers:



  1. Start with 4 ABC.


AB=



(− 2 −(− 8 ))^2 +(− 2 −(− 6 ))^2


=



( 6 )^2 +( 4 )^2


=



36 + 16


=



52 = 2



13


BC=



(− 8 −(− 6 ))^2 +(− 6 −(− 9 ))^2


=



(− 2 )^2 +( 3 )^2


=



4 + 9


=



13


AC=



(− 2 −(− 6 ))^2 +(− 2 −(− 9 ))^2


=



( 4 )^2 +( 7 )^2


=



16 + 49


=



65


Now find the sides of 4 DEF.

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