5.2 Congruent Polygons.notebook
November 18, 2016
Bellringer ­ Friday, November 18th
Solve the following system of equations, giving your answer in the form (x,y).
Nov 18­7:29 AM
Sep 29­9:06 AM
Nov 17­3:58 PM
Nov 17­3:58 PM
1
5.2 Congruent Polygons.notebook
November 18, 2016
5.2 ­ Congruent Polygons
Congruent Triangles = All pairs of corresponding parts are congruent.
All triangles have 6 "parts"
A
3 Sides
3 Angles
B
Nov 17­3:58 PM
Congruent Triangles
A
Sep 29­9:06 AM
Congruent Triangles
D
D
A
B
C
C
E
F
• All corresponding sides are congruent
B
C
E
F
• All corresponding angles are congruent
Sep 29­9:06 AM
Sep 29­9:06 AM
2
5.2 Congruent Polygons.notebook
Congruent Polygons = All pairs of corresponding parts are congruent.
Congruent Parts
E
O
N
P
Congruent Triangles
• Congruent triangles are drawn by applying one or more transformations to the original triangle.
• Congruency Transformations include:
– Translations
U
W
A
November 18, 2016
– Reflections
D
T
– Rotations
L
Sep 29­9:06 AM
Sep 29­9:06 AM
Congruency Transformations
Transformations = Transform or change of appearance
1.) Translations = Move up/down/left/right only
2.) Reflections = Mirror image over a line
A
D
A
B
B
C
E
Sep 29­9:06 AM
F
C
D
Sep 29­9:06 AM
3
5.2 Congruent Polygons.notebook
Transformations (Cont.)
Transformations (Cont.)
3.) Rotations = Spin/turn around a point
A
C
B
November 18, 2016
4.) Dilations/Reductions = Keep same general shape, but increase or decrease the size/scale.
Dilation
Reduction
D
E
Note: Since dilations and reductions change the size of an object, these are not congruency transformations.
Sep 29­9:06 AM
Sep 29­9:06 AM
5.2 p.243 #5­10,23,24
Sep 29­9:06 AM
Sep 29­9:06 AM
4