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Congruence of Triangles
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Criteria for Triangle Congruence
Criteria for Triangle Congruence
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Criteria for Triangle Congruence
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SSS and SAS Congruence
4 mins
SSS and RHS Rule of Congruence
7 mins
AAA- is not a Criterion for Congruence of Triangles
4 mins
ASA and RHS Congruence
4 mins
Quick Summary With Stories
SSS criteria for congruence of triangles
2 mins read
ASA criteria for Congruence of triangle
2 mins read
RHS Criteria of congruence of triangles
2 mins read
Can AAA be criteria for congruence of triangle.
2 mins read
SAS Criteria of Congruence
2 mins read
Important Questions
In triangles ABC and DEF, AB
$=$
FD and
$∠A=∠D$
. The two triangles will be congruent by
SAS axiom if :
Easy
View solution
>
$ABC$
is an isosceles triangle with
$AB=AC$
and
$BD$
and
$CE$
are its two medians. Show that
$BD=CE$
.
Medium
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>
If in two triangles
$PQR$
and
$DEF$
,
$PR=EF$
,
$QR=DE$
and
$PQ=FD$
, then
$△PQR≅$
$△$
___.
Medium
View solution
>
If
$ΔPQR$
is an isosceles triangle such that PQ=PR , then prove that the attitude PS from P on QR bisects QR
Easy
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>
A round balloon of radius
r
subtends an angle
$α$
at the eye of the observer, while the angle of elevation of its centre is
$β$
. Prove that the height of the centre of the balloon is
$rsinβcsc2α $
.
Medium
View solution
>
In
$△ABC$
and
$△DEF,AB=DE,AB∥DE,BC=EF$
and
$BC∥EF$
. Vertices
$A,B$
and
$C$
are joined to vertices
$D,E$
and
$F$
respectively. Show that
(i) Quadrilateral
$ABED$
is a parallelogram
(ii) Quadrilateral
$BEFC$
is a parallelogram
(ii)
$AD∥CF$
and
$AD=CF$
(iv) Quadrilateral
$ACFD$
is a parallelogram
(v)
$AC=DF$
(vi)
$△ABC≅△DEF$
Medium
View solution
>
In an isosceles triangle
$ABC$
, with
$AB=AC$
, the bisectors of
$∠B$
and
$∠C$
intersect each other at
$O$
. Join
$A$
to
$O$
. Show that :
(i)
$OB=OC$
(ii)
$AO$
bisects
$∠A$
Medium
View solution
>
$ABC$
is an isosceles triangle in which
$AC=BCAD$
and
$BE$
are respectively two altitudes of side
$BC$
and
$AC$
. Prove that
$AE=BD$
.
Hard
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>
Two triangles are congruent, if two angles and the side included between them in one triangle is equal to the two angles and the side included between them of the other triangle.This is known as
Easy
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>
In a triangle
$ABC$
and
$DEF$
,
$AB=FD$
and
$∠A=∠D$
. The two triangles will be congruent by SAS axiom if:
Easy
View solution
>