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Important questions on Criteria For Triangle Congruence

In the following, pairs of triangles of Fig., the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.

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In triangle and ,
[Common]
  ...SSS criterion

In , then the two triangles are congruent by which test?

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In s, ABC and PQR,
It is given,


Thus, (SSS postulate)

In the following, pairs of triangles of Fig. the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.

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In triangle and ,
Given,
.... SSS criterion

In the figure AD = BC and BD = CA. Prove that and .

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In triangles and , we have
  (given);
  (common);
  (given).
We can use SSS condition to conclude that . From this we conclude that
and .

Which of the following pairs of triangle are congruent ? In each case , state the condition of congruency :
In and and

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In and
          [Given]
          [Given]
          [Given]
By Side - Side -Side criterion of congruency  to each other 

If by SSS congruence rule then

A

B

C

D

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If triangles are congruent by  then their corresponding sides are equal , therefore
  or 
So option is correct.

When two triangles have corresponding sides equal in length, then the two triangles are congruent.

A

SAS congruency Theorem

B

AA congruency Theorem

C

AAA congruency Theorem

D

SSS congruency Theorem

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All sides of a triangle are equal with all sides of another triangle then these two triangles are said to be congruent SSS congruency Theorem.
Therefore, D is the correct answer.

In the following, pairs of triangles of Fig., the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.

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In triangle and ,
Given,
.. SSS criterion

If three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent. This is _____ condition for congruence.

A

B

C

D

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Side-Side-Side condition states that if three sides of one triangle are equal to three sides of another triangle then the two triangles are congruent.

If and are on the same base BC,AB=DC and AC=DB,then which of the following gives a CORRECT congruence relationship?

A

B

C

D

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In triangle  and we have
AB=DC , AC=DB and BC=BC
then from congruence ,

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