Advertisements
Advertisements
प्रश्न
State whether the two triangles are congruent or not. Justify your answer
Advertisements
उत्तर
Let the given triangles be ∆ABC and ∆CDE
Here `bar("AC") = bar("CE")` ...(given)
∠BAC = ∠DEC ...(given)
∠ACB = ∠DCE ...(vertically opposite angles)
Two angles and the included side are equal.
Therefore by ASA criterion ∆ABC ≅ ∆CDE.
APPEARS IN
संबंधित प्रश्न
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.
In the following figure, AD ⊥ BC and AD is the bisector of angle BAC. Then, ∆ABD ≅ ∆ACD by RHS.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.
In the following figure, ∠1 = ∠2 and ∠3 = ∠4.
- Is ∆ADC ≅ ∆ABC? Why ?
- Show that AD = AB and CD = CB.
