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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ७

State whether the two triangles are congruent or not. Justify your answer - Mathematics

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प्रश्न

State whether the two triangles are congruent or not. Justify your answer

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उत्तर

Let the given triangle be ∆ABC

`bar("AD")` divides ∆ABC into two parts giving ∆ABD and ∆ACD

In ∆ABD and ∆ACD

`bar("AB") = bar("AC")`  ...(given)

`bar("BD") = bar("AD")`  ...(common side)

∠BAD = ∠CAD  ...(included angles)

∴ By SAS criterion ∆ABD ≅ ∆ACD.

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पाठ 4: Geometry - Exercise 4.2 [पृष्ठ ८४]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
पाठ 4 Geometry
Exercise 4.2 | Q 4. (i) | पृष्ठ ८४

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 the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED


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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BC = 8 cm, AC = 6 cm and ∠C = 40°


Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE


In the following figure, ΔPQR ≅ Δ ______.


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.


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).

∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°

∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°


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