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4.1 4.2 Congruency.

Published byMargaretMargaret Ramsey Modified over 6 years ago

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Presentation on theme: "4.1 4.2 Congruency."— Presentation transcript:

1 Congruency

2 Congruency: Congruent figures ____________________________
__________________________________________ ______________________________________________________________________________________________________________________________ Angles Sides D A B C E F

3 In a proof, if triangles are congruent and you plan to prove that corresponding pieces are congruent use: __ __ __ __ __ __________________________________________

4 Reasons for Proving Triangles Congruent
Postulate 12: ____________________________ __________________________________________

5 Postulate 13: _____________________________
________________________________________

6 Postulate 14:_______________________________
__________________________________________

7 O M T K

8 A Y Z 1 2 3 4 B

9 4.3 Proving other Congruencies

10 M 1 3 J K 2 4 O

11 D C 1 2 A B

12 C B A D

13 M J k 1 2 3 4 L

14 M J k 1 2 3 4 L

15 R S O P Q

16 B A E D C

17 4.4 Isosceles Triangles

18 Lets draw an Isosceles Triangle

19 Def of Isosceles Triangle: _______________________________________
Theorem 4-1: ___________________________________ __________________________________________________ Theorem 4-2:________________________________ ___________________________________________ ______________________________________________________________________________________

20 Corollary 2: _________________________________
__________________________________________

21 Examples: x 4x-6 16 50 18 X=_______ X=_______

22 4.5 Triangles Congruent

23 More Ways to Prove Triangles Congruent
Theorem 4.3:_______________________________ __________________________________________

24 Theorem 4.4:_______________________________
__________________________________________

25 Examples: x 21 21 4x-1 3x+3 65 19-x X=_______ X=_______

26 L P x Q 1 4 2 3 70 M N X=________

27 Z Y A B C

28 4.6 Proving More than one set of Triangles Congruent

29 D O C A B

30 D O X C A B

31 X D 1 C 2 A O B

32 4.7 Altitude, Median and Perpendicular Bisector

33 Median: ________________________________
_________________________________________ ___________________________________ A C B

34 Altitude: ____________________________
_____________________________________ ____________________________________ Acute Right Obtuse

35 Perpendicular Bisector ___________________
________________________________________ _______________________________________

36 PBT –___________________________________
________________________________________ C A B

37 CPBT –_________________________________
________________________________________ C A B

38 Theorem 4.7: _______________________
_____________________________________

39 D O C B

40 D O C B

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