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Congruent Figures
Name
Congruent figures have the same size and shape. When two figures are congruent,
you can slide, flip, or turn one so that it fits exactly on the other.
turn
slide
flip
Congruent polygons have congruent corresponding parts - their matching sides and
angles. When naming congruent polygons, corresponding vertices must be listed in
the same order.
_______  _______
_______  _______
_______  _______
_______  _______
_______  _______
_______  _______
_______  _______
_______  _______
_______  _______
Third Angles Theorem:
If two angles of one triangle are congruent to two angles of another triangle, then
the third angles are congruent.
D
Proof of Third Angles Theorem
Given: A  D, B  E
Prove: C  F
Proof:
Statements
A
B
Reasons
C
E
F
1. If HIJK  LMNO , what are the congruent corresponding parts?
2. If WYS  MKV , what are the congruent corresponding parts?
3. Suppose that WYS  MKV . If mW  62 and mY  35 , what is the mV ?
Explain.
4. Are the triangles congruent? Justify your answer.
5. Is ABD  CBD ? Justify your answer?
M
6. Given: LM  LO , MN  ON , M  O , MLN  OLN
Prove: LMN  LON
Proof:
Statements
L
N
O
Reasons