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