Little Piece of Randomgcmath.weebly.com/uploads/2/1/1/5/21159736/congruent_figures.pdf · Congruent...
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Congruent Figures March 11, 2015
Little Piece of RandomFaye's
What gets more damp the more it dries?
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Congruent Figures March 11, 2015
Little Piece of RandomFaye's
A towel!
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Congruent Figures March 11, 2015
Lesson 22: Corresponding Parts
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Congruent Figures March 11, 2015
Congruent Figures
CONGRUENT
angles
shape
sides
size
Series of RIGID MOTIONS
figures
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Congruent Figures March 11, 2015
4-1 Congruent Figures
DEFINITION:Two polygons are CONGRUENT if and only if their VERTICES can be
matched up so that all of their CORRESPONDING PARTS (angles
and sides) are CONGRUENT.
Congruent Figures
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Congruent Figures March 11, 2015
4-1 Congruent Figures
Naming Congruent Figures
C
A
T
F
D
E
Congruent Figures
ΔFED ≅ ___________ ΔFDE ≅ ___________ ΔEDF ≅ ___________ ΔDEF ≅ ___________ ΔDFE ≅ ___________ ΔEFD ≅ ___________
Note: ORDER MATTERS!
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Congruent Figures March 11, 2015
4-1 Congruent Figures
Name the all the congruent corresponding parts:
1.
2.
3.
4.
5.
6.
Congruent Figures
C
A
T
F
D
E
Note: ORDER MATTERS!
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Congruent Figures March 11, 2015
4-1 Congruent Figures
FED ≅ CAT
If m E=95 and m C= 50 , find the measures of all the remaining angles.
Congruent Figures
C
A
T
F
D
E
Example:
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Congruent Figures March 11, 2015
A
B
C
FD
E
Third Angle Theorem(Thm. 4-1)
“If two angles of one triangle are congruent to two angles in a second triangle, then the third angles of the triangles are congruent.”
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Congruent Figures March 11, 2015
4-1 Congruent FiguresCongruent Figures
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Congruent Figures March 11, 2015
4-1 Congruent FiguresCongruent Figures
x = _____
CD = _____
You Try: