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प्रश्न
In the given figure, M is the mid-point of both AC and BD. Then ______.
पर्याय
∠1 = ∠2
∠1 = ∠4
∠2 = ∠4
∠1 = ∠3
उत्तर
In the given figure, M is the mid-point of both AC and BD. Then ∠1 = ∠4.
Explanation:
In ΔAMB and ΔCMD,
AM = CM ......[M is the mid-point]
BM = DM ......[M is the mid-point]
∠AMB = ∠CMD ......[Vertically opposite angles]
By SAS congruence criterion,
ΔAMB ≅ ΔCMD
∴ ∠1 = ∠4 ......[By C.P.C.T]
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संबंधित प्रश्न
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.
∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.
∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.
In Fig,
AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.
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:
For the given pair of triangles state the criterion that can be used to determine the congruency?
Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°
∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°
