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
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by the ASA congruence rule. In the case of congruence, write it in symbolic form.
∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.
∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.
ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
In the following figure, Δ ______ ≅ ΔPQR.

AAS congruence criterion is same as ASA congruence criterion.
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.

Observe the given figure and state the three pairs of equal parts in triangles ABC and DBC.
- Is ∆ABC ≅ ∆DCB? Why?
- Is AB = DC? Why?
- Is AC = DB? Why?

