Ch. 4: Congruent Triangles

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Transcript Ch. 4: Congruent Triangles

Beat the Computer!
Geometry
Vocabulary
for
Unit 4
Chris Giovanello, LBUSD Math Curriculum Office, 2004
Directions:
•A slide will appear with a term
•Say the definition aloud before
the computer can answer (5 sec.)
•You will hear a sound when the
slide changes
Chris Giovanello, LBUSD Math Curriculum Office, 2004
congruent
polygons
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 180
congruent polygons:
are polygons with congruent
corresponding parts - their
matching sides and angles
B
Y
A
X
C
D
Z
Polygon ABCD  Polygon XYZW
Chris Giovanello, LBUSD Math Curriculum Office, 2004
W
SSS
Side-Side-Side Postulate
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 187
SSS
If three sides of one triangle
are congruent to three sides
of another triangle, then the
two triangles are congruent.
H
G
Q
F
P
 GHF   PQR
Chris Giovanello, LBUSD Math Curriculum Office, 2004
R
SAS
Side-Angle-Side Postulate
Chris Giovanello, LBUSD Math Curriculum Office, 2004
SAS
pg. 188
If two sides and included angle of
one triangle are congruent to two
sides and included angle of
another triangle, then the two
triangles are congruent.
B
C
D
A
F
 BCA   FDE
Chris Giovanello, LBUSD Math Curriculum Office, 2004
E
ASA
Angle-Side-Angle Postulate
Chris Giovanello, LBUSD Math Curriculum Office, 2004
ASA
pg. 195
If two angles and included side of
one triangle are congruent to two
sides and included angle of
another triangle, then the two
triangles are congruent.
B
G
P
H
K
 HGB   NKP
Chris Giovanello, LBUSD Math Curriculum Office, 2004
N
AAS
Angle-Angle-Side Postulate
Chris Giovanello, LBUSD Math Curriculum Office, 2004
AAS
pg. 195
If two angles and nonincluded
side of one triangle are congruent
to two angles and nonincluded
side of another triangle, then the
two triangles are congruent.
C
D
T
M
G
 CDM   TGX
Chris Giovanello, LBUSD Math Curriculum Office, 2004
X
CPCTC
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 203
CPCTC:
corresponding parts of
congruent triangles are
congruent
Chris Giovanello, LBUSD Math Curriculum Office, 2004
legs of an
isosceles
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 211
legs of an isosceles triangle:
the congruent sides of an
isosceles triangle
Legs
Chris Giovanello, LBUSD Math Curriculum Office, 2004
base of an
isosceles
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg211
base of an isosceles triangle:
the side of an isosceles
triangle that is not congruent
to either of the other sides
Base
Chris Giovanello, LBUSD Math Curriculum Office, 2004
vertex angle of
an isosceles
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 211
vertex angle of an isosceles
triangle:
the angle formed by the two
congruent sides of an
isosceles triangle
Vertex Angle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
base angles of
an isosceles
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 211
base angles of an isosceles
triangle:
the angles opposite the
congruent sides of an
isosceles triangle
Base Angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
corollary
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 212
corollary:
a statement that follows
immediately from a
theorem
Chris Giovanello, LBUSD Math Curriculum Office, 2004
hypotenuse of a
right triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 217
hypotenuse of a right
triangle:
the side opposite the right
angle
Hypotenuse
Chris Giovanello, LBUSD Math Curriculum Office, 2004
legs of a right
triangle
Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 217
legs of a right triangle:
the sides that are not
opposite the right angle
Legs
Chris Giovanello, LBUSD Math Curriculum Office, 2004