Download - Congruent triangles
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AN INTRODUCTIONAN INTRODUCTION
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MMEEAANNIINNGG
Geometrical Geometrical figures are figures are said to besaid to be
congruentcongruent if they have if they have same shape same shape and same sizeand same size
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covers it covers it exactlyexactlyF1 F2
FigureFigure F1F1 & Figure F2Figure F2
are congruent
if F1 when superposed over F2F2
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Congruency symbolCongruency symbol
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FIND THE CONGRUENCY IN THESE RECTANGULAR PLATES
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CAN YOU SEE, THE CONGRUENCY IN THESE
ARCHES
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FIND THE SETS OF FIND THE SETS OF CONGRUENT FIGURES HERECONGRUENT FIGURES HERE
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SEE THE CONGRUENT FIGURES
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SEE THE CONGRUENT FACES
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CONGRUENT SHAPES
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CONGRUENT SHAPESCONGRUENT SHAPES
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CHOOSE SHAPES
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SHAPES
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congruent figurescongruent figures
Line segments are congruent if their lengths are equal
Squares are congruent if one of their sides equal
Circles are congruent if their radii equal
a a
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PENTOGONPENTOGON
congruent figurescongruent figures
An AngleAn Angle
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Choose the congruent figuresChoose the congruent figures
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Same shape butSame shape but not same size not same size
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Two triangles are congruent if three angles and three sides of one triangle are equal to the corresponding three angles and three sides of another triangle
Congruent trianglesCongruent triangles
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Corresponding PartsCorresponding PartsHere Here C coincides with C coincides with R , R , A with A with P & P & B with B with Q Q We call the pairs We call the pairs Corresponding partsCorresponding parts (angles) (angles)
A B
C
PQ
R
Write the other corresponding parts (sides)
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Write the corresponding partsWrite the corresponding parts
A
B C
R
Q
P
D
E
F
K
LM
ABC RPQDEF MLK
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AssignmentAssignment
State true or falseState true or false
1.When a line segment is bisected we 1.When a line segment is bisected we get two congruent line segmentsget two congruent line segments
2.When an angle is bisected we obtain 2.When an angle is bisected we obtain two angles which are congruent to two angles which are congruent to each othereach other
3.Circles always have same shape and 3.Circles always have same shape and same sizesame size
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CONDITIONS FOR CONDITIONS FOR CONGRUENCECONGRUENCE
SSSSSSSASSASASA also AASASA also AASRHSRHS
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SSSSSS
SASSAS
ASAASA
RHSRHSLET US LEARN ABOUT THIS IN
LESSON-2