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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.
विकल्प
True
False
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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
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संबंधित प्रश्न
By applying the ASA congruence rule, it is to be established that ∆ABC ≅ ∆QRP and it is given that BC = RP. What additional information is needed to establish the congruence?
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.
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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 given figure, AD = CD and AB = CB. Identify the other three pairs that are equal
AAS congruence criterion is same as ASA congruence criterion.
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.
