The document defines and discusses congruence of geometric shapes. It states that two shapes are congruent if one can be transformed into the other using turns, flips, or slides. It then discusses congruence as it relates to lines, angles, vertices, triangles (scalene, isosceles, equilateral), quadrilaterals, and circles. Specifically, it notes that line segments of equal length and angles of equal measure are congruent, and provides examples of congruent triangles and quadrilaterals based on matching sides and angles.

2. I f one shape can become
anot her using Tur ns, Flips
and/ or Slides, t hen t he t wo
shapes ar e called
CONGRUENT

3. Congruent ??
It comes from Latin word
“congruere, which means “ to
agree ". So the shapes “agree”.

4. A
B
C
D
LINE
QUADRILATERAL
S R
P Q
X W
U V
P
Q R
A
B D TRIANGLE

5. Congruence of
 Line
 Angles
 Vertices
 Triangles
 Scalene triangle
 Isosceles triangle
 Equilateral triangle
 Quadrilateral
 Circle

6. CONGRUENCE OF LINE SEGMENT
B C
Line segments of Equal length are
congruent.
D
A
O P U V

7. CONGRUENCE OF ANGLES
Angle KLM is congruent with angle ABC
<KLM
<ABC
Angles of Equal measure are congruent with each
other.
A
M C B
K
L

8. CONGRUENCE OF VERTICES OF ANGLE
R
Correspondence between vertices
B P, C Q , A R
Correspondence between sides
Side BC Side PQ
Side AC Side RQ
Side AB Side RP
A
B C P Q

9. PAIR OF ANGLES
A
R
B C P Q
<B <P , <C <Q , <A <R

10. CONGRUENCE OF TRIANGLES
E U
F G
V W
EFG and UVW are congruent
triangles

11. ABC EFG
<A <E
<B <G
<C <F
Side AB Side EG
Side BC Side FG
Side AC Side EF
A
B C
E
F G

12. CONGRUENCE OF SCALENE TRIANGLE
E F
L
M N
DEF is congruent with LMN
DEF LMN
D
If two scalene triangle are congruent , they are
congruent for only one correspondence.

13. CONGRUENCE OF ISOSCELES TRIANGLE
Two isosceles triangles ABC and PQR are congruent.
ABC PQR
ABC PQR
If two isosceles triangles are congruent by one
Correspondence they will be congruent by one other
correspondence too.
A
B C
P
Q R

14. CONGRUENCE OF EQUILATERAL
TRIANGLE
LMN UVW
LMN UVW
If two equilateral triangles are congruent in any one
Correspondence they are congruent in every other
correspondence .
L
M N
U
V W

15. CONGRUENCE OF QUADRILATERAL
W
Z
These two quadrilateral are congruent with each
other.
ABCD WXYZ
A
B
D
C X
Y

16. These two quadrilateral are congruent
with each other
ABCD WXYZ
Four sides of rectangle ABCD are congruent
with the four corresponding sides of WXYZ
Four angles of rectangle ABCD are
congruent.
With the four corresponding angles of WXYZ

17. CONGRUENCE OF CIRCLE
P Q
Circle with e qual radii are co ng rue nt

18. Evaluative questions

19. Q : Which of the following line segment are
congruent ?
l (SP) = 7.2 cm, ll(MP) = 4.7 cm
l
(UV) = 6.3 cm, (MG) = 7.2 cm
Q : Find out which of the following are
congruent angles?
m<J = 42 o , m<M = 105 o ,m<S = 54
o
m<W = 113 , m<B = 54 , m<H = 113
o o o

20. Q : Fill in the blanks :
1) Line segments of are congruent
2) Angles of equal measures are
with each other.
3) with each other.
4) If two scalene triangles are
they are congruent for
only one correspondence