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.
विकल्प
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
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.
For the given pair of triangles state the criterion that can be used to determine the congruency?
Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the ______.
In the following figure, ∆ARO ≅ ∆ ______.
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 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.
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?
