Download Congruence

Congruence
Unit 8, Lesson 1
Geometry
Vocabulary
• If two geometric figures have exactly the
same shape and size, they are congruent.
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Examples:
Congruent
Not congruent
A
D
F
C
E
B

www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Vocabulary
• In two congruent polygons, all of the parts
of one polygon are congruent to the
corresponding parts or matching parts of
the other polygon. These corresponding
parts include corresponding angles and
corresponding sides.
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Corresponding sides and angles
C
A
T
B
Corresponding Angles
S
R
Corresponding sides
A  R
C  T
AB
RS
B  S
BC
ST
AC
RT
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Naming Congruent Parts
• Δ TJD = Δ RCF. List the corresponding parts:
T
F
C
Corresponding Angles:
<T =
<J =
<D =
J
Corresponding Sides:
TJ =
JD =
TD =
yourcharlotteschools.net/...site/4.1a.ppt
D
R
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
H
B
A
C
K
J
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Write a congruence
statement for the congruent
polygons shown.
One Possible Answer: ABCDE  RTPSQ.
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
Finding Congruent Triangles
• Decide whether the triangles are congruent.
E
Justify your answer.
3
B
4
C
3
A
yourcharlotteschools.net/...site/4.1a.ppt
4
D
In the diagram, ΔITP  ΔNGO. Find the values of x and y.
www.marianhs.org/userfiles/1059/.../4-3%20Congruent%20Triangles.ppt
ABCDE  PQRST