Congruence
“CONGRUENT” means EQUAL MEASURE.
~ =
is the symbol for “CONGRUENT”
A
H
~ =
C B J I “Triangle ABC is congruent to triangle HIJ”
Look at these intersecting lines. A
B
M C
AMB BMG
~ = ~ =
G
CMG AMC
When two lines intersect, the congruent angles are called VERTICAL ANGLES.
3
1 4
2
Angles 3 & 2 also are vertical angles.
Angles 1 & 4 are vertical angles.
For polygons to be CONGRUENT, all parts must be congruent.
~ ΔABC = ΔJLK J
A
B
C
L
K
J
A
B
C
L
K
Angles A & J are called corresponding angles.
TRANSFORMATION: The movement of a figure.
A TRANSLATION is when a figure “slides” to a new spot.
F
L
IP
!
A REFLECTION is when a figure “flips” across a line.
A rotation is when a figure “spins” around a point.