Transcript Slide 1

Definition:
Picture:
Two figures (or more) with the
same size and shape.
Remember:
Congruent
Figures
Congruent means
EQUAL.
More InformationM:
More information:
Equal Size and Shape
Definition:
More Information:
SSS POSTULATE: Two triangles are
congruent (equal) if they have 3 pairs
Side
Side
Side
of congruent corresponding
sides are congruent.
SSS
Example:
Postulate
segment QN = segment QP
segment YN = segment YP
segment YQ = segment YQ
Triangle QYN is congruent to triangle QYP
by Side-Side-Side.
Definition:
More Information:
SAS POSTULATE: Two triangles are
congruent (equal) if two pairs of
corresponding sides and the
corresponding angles between
them are congruent.
SAS
Example:
Side
Angle
Side
Postulate
•PQ = ST Both sides = 4
•angle Q = angle T Both angles =100 ̊
•QR = TV Both sides = 5
Triangle PQR is congruent to triangle STV
by Side-Angle-Side.
Definition:
More Information:
ASA POSTULATE Two triangles are
congruent (equal) if two pairs of
corresponding angles and the
Angle
Side
Angle
corresponding side between
them are congruent.
ASA
Example:
Postulate
•angle A = angle D
•
•segment AP = segment DP Both sides = 5
•angle B = angle C
Triangle BAP is congruent to triangle CDP
by Angle- Side- Angle
Definition:
More Information:
AAS POSTULATE:
Two triangles are congruent if two
Angle
Angle
Side
pairs of corresponding angles
and either pair of corresponding
sides that are NOT between
them are congruent.
AAS
Example:
Postulate
•angle A = angle Y (both are 75 ̊)
•angle C =angle Z (both are 65 ̊)
•segment AB =segment XY (both are 10cm)
Triangle CAB is congruent to triangle ZXY
by Angle-Angle-Side.