Advertisements
Advertisements
प्रश्न
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.
पर्याय
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
In ΔABC and ΔPQR,
∠B = ∠Q = 90°
∠C = ∠R ...[Given]
⇒ ∠A = ∠P
Now, in ΔABC and ΔPQR,
∠A = ∠P
AC = PR
∠C = ∠R
By ASA congruence criterian,
ΔABC ≅ ΔPQR
APPEARS IN
संबंधित प्रश्न
In Fig, can you use the ASA congruence rule and conclude that ∆AOC ≅ ∆BOD?
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.
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:
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
State whether the two triangles are congruent or not. Justify your answer
In the given figure, AD = CD and AB = CB. Identify the other three pairs that are equal
In the following figure, ∆ARO ≅ ∆ ______.
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.
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?
