5.2 Congruent Polygons EXPORT
November 17, 2016
Congruent Triangles
A
5.2 ­ Congruent Polygons
Congruent Triangles = All pairs of corresponding parts are congruent.
C
B
All triangles have 6 "parts"
D
F
E
• All corresponding sides are congruent
A
3 Sides
• All corresponding angles are congruent
3 Angles
B
C
Congruent Polygons = All pairs of corresponding parts are congruent.
Congruent Triangles
Congruent Parts
D
A
E
B
C
E
F
O
N
P
U
W
A
D
T
Congruent Triangles
• Congruent triangles are drawn by applying one or more transformations to the original triangle.
• Congruency Transformations include:
– Translations
– Reflections
L
Congruency Transformations
1.) Translations = Move up/down/left/right only
D
A
B
C
E
F
– Rotations
1
5.2 Congruent Polygons EXPORT
Transformations = Transform or change of appearance
2.) Reflections = Mirror image over a line
A
November 17, 2016
Transformations (Cont.)
3.) Rotations = Spin/turn around a point
A
C
B
C
D
B
D
E
Transformations (Cont.)
4.) Dilations/Reductions = Keep same general shape, but increase or decrease the size/scale.
Dilation
Reduction
Note: Since dilations and reductions change the size of an object, these are not congruency transformations.
5.2 p.243 #5­10,23,24
2