Download 4-1 = Congruent Figures

CONGRUENT
Congruent
• Congruent figures have
the same size and shape.
Which of these are congruent?
When you name congruent
polygons, you must list their
vertices in the same order.
So … ABCD  FEHG
or … ADCB  GFEH
but NOT ADCB  FEHG
Figures are congruent
if and only if
all their
corresponding
parts
are congruent.
Corresponding parts of congruent
figures are congruent.
CPCFC
So, if you know that
PQRS  WXYZ
then you know
P  W and
Q  X
R  Y
S  Z
𝑃𝑄  𝑊𝑋
𝑄𝑅  𝑋𝑌
𝑅𝑆  𝑌𝑍
𝑆𝑃  𝑍𝑊
These figures are congruent.
Write the correct name:
ADCB  _____
Write the correct name:
ADCB  WXYZ
Write the correct name:
_____  ZYXW
Write the correct name:
BCDA  ZYXW
Name the pairs of  angles.
Name the pairs of  angles.
A  W, B  Z,
C  Y, D  X
Name the pairs of  sides.
Name the pairs of  sides.
𝐴𝐵  𝑊𝑍, 𝐵𝐶  𝑍𝑌,
𝐶𝐷  𝑌𝑋, 𝐷𝐴  𝑋𝑊
Explain why ABC  EDC.
What would you need to know
to say ABD  CBD ?
THIRD ANGLES THEOREM
THIRD ANGLES THEOREM
If two angles of one triangle
are congruent to two angles of
another triangle, then the third
angles are congruent.
THIRD ANGLES THEOREM
WHY?
REMEMBER
congruent
CPCFC
3rd angle