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Criteria for Triangle Congruence
Criteria for Triangle Congruence
Congruence of Triangles
Maths
Class 7
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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
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Study Materials
Congruence of Triangles: Criteria for Congruent Triangles, Videos, Q&A
Congruent Triangles: Definition, Properties, Videos and Solved Examples
Properties of Triangles: Angles and Sides, Concepts, Examples & Videos
Quick summary
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SSS criteria for congruence of triangles
2 mins mins read
ASA criteria for Congruence of triangle
2 mins mins read
RHS Criteria of congruence of triangles
2 mins mins read
Can AAA be criteria for congruence of triangle.
2 mins mins read
SAS Criteria of Congruence
2 mins mins read
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Criteria for Triangle Congruence
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Practice Questions
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Related questions
If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then prove that two triangles are congruent.
Medium
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If the two sides and the included angle of a triangle are respectively equal to two sides and the included angle of the other triangle, the two triangles are congruent.If true enter 1 else 0.
Easy
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>
Given
$ΔOAP≅ΔOBP$
in fig. 4, the criteria by which the triangles are congruent :
Easy
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>
In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.
Medium
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>
In Figure 6.29, AD
$⊥$
BC and AD is the bisector of angle BAC. Then,
$△ABD≅△ACD$
by RHS.
Easy
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>
In the figure, ABCD is a parallelogram is produced to E such that
$AB=BE$
. AD produced to F such that
$AD=DF$
. Show that
$△FCD≅△CBE$
.
Medium
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In the adjacent figure
$ABCD$
is a square and
$△APB$
is an equilateral triangle. Prove that
$△APD≅△BPC$
Easy
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In the given figure,
$AB=AC,P$
and
$Q$
are points on
$BA$
and
$CA$
respectively such that
$AP=AQ$
. Prove that
$△APC≅△AQB$
Medium
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In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.
Medium
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In the given fig
$△PQC$
&
$PRC$
such that
$QC=CR$
,
$PQ=PR$
. Prove that
$△PQC≅△CPR$
Easy
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>
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Criteria for Triangle Congruence
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