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प्रश्न
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
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उत्तर
In both the triangles one of their sides are equal
One of their angles are equal or they are vertically opposite angles
To satisfy SAS criterion, one more side is to be equal such that the angle is the included of the equal sides.
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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°.
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:
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
Construct a triangle ABC with given conditions.
AB = 7 cm, AC = 6.5 cm and ∠A = 120°
In the following figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
In the following figure, two triangles are congruent by RHS.
In the following 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 following 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).
∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm
∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.
