Congruence line,angle,triangles,rectangle-circle etc
21
-
Upload
sultana-khan -
Category
Education
-
view
212 -
download
1
description
The power point explains the concept of congruence in VII th standard .It explains the congruence of angles,vertices, triangles,quadrilaterals,and circle.
Transcript of Congruence line,angle,triangles,rectangle-circle etc
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
Congruent ??
It comes from Latin word
“congruere, which means “ to
agree ". So the shapes “agree”.
A
B
C
D
LINE
P Q
S R
U V
WX
QUADRILATERAL
P
Q
R
A
B
DTRIANGLE
Congruence of
Line Angles Vertices Triangles Scalene triangle Isosceles triangle Equilateral triangle Quadrilateral Circle
CONGRUENCE OF LINE SEGMENT
Line segments of Equal length are congruent.
B C
DA
O P U V
<KLM
<ABC
CONGRUENCE OF ANGLES
Angle KLM is congruent with angle ABC
Angles of Equal measure are congruent with each other.
A
BCM
K
L
CONGRUENCE OF VERTICES OF ANGLE
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
PB C Q
R
PAIR OF ANGLES
<B <P , <C <Q , <A <R
A
PB C Q
R
CONGRUENCE OF TRIANGLES
EFG and UVW are congruent triangles
F G
E U
V W
ABC EFG <A <E<B <G<C <F
Side AB Side EGSide BC Side FGSide AC Side EF
A
B C
E
F G
CONGRUENCE OF SCALENE TRIANGLE
DEF is congruent with LMN
DEF LMN
If two scalene triangle are congruent , they are congruent for only one correspondence.
D
E F
L
M N
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
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
CONGRUENCE OF QUADRILATERAL
These two quadrilateral are congruent with each other.
ABCD WXYZ
A
B
D
XC
W
Y
Z
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
CONGRUENCE OF CIRCLE
Circle with e qual radii are co ngrue nt
P Q
Evaluative questions
Q : Which of the following line segment are
congruent ?
(SP) = 7.2 cm, (MP) = 4.7 cm
(UV) = 6.3 cm, (MG) = 7.2 cm
Q : Find out which of the following are
congruent angles?
m<J = 42 , m<M = 105 ,m<S = 54
m<W = 113 , m<B = 54 , m<H = 113
l lll
o o o
o o o
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
