PROPERTIES
OF
CONGRUENT
AND SIMILAR
FIGURES
Congruent
Shapes
• Two figures are congruent if
one can be transformed into
the other by translation,
rotation, or reflection.
• The lengths of sides (edges)
and sizes of angles must be
equal between the two
shapes for them to be
congruent.
Examples
Congruent Triangles
Not Congruent Triangles
Congruent triangles can be flipped, rotated and mirrored and will still be congruent.
Examples
Similar shapes
Similar shapes are the same shape but they have different
sizes. The corresponding sides are in the same ratio and the
corresponding angles are the same.
PROPERTIES
OF
CONGRUENCE
1.REFLEXIVE PROPERTY
• any geometric figure is congruent to itself
or any number is equal to itself.
example:
5=5
2. SYMMETRIC PROPERTY
describes a relationship between two elements where if
one element is related to a second element, then the
second element is related to the first one.
e.
example:
If x=5, then
5=x
3. TRANSITIVE PROPERTY -
REFERS TO A RELATIONSHIP BETWEEN
THREE ELEMENTS. CONNECTS
RELATIONSHIP BETWEEN MULTIPLE
ELEMENTS.
EXAMPLE:
IF A = B, AND B = C,
THEN A = C
THANK YOU!