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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ७

For the given pair of triangles state the criterion that can be used to determine the congruency? - Mathematics

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प्रश्न

For the given pair of triangles state the criterion that can be used to determine the congruency?

योग

उत्तर

From the figure hypotenuse and one side are equal in both the triangles

RHS congruency criterion is used ...(∵ Considering ∆ABC and ∆BAD)

∠A = ∠B = 90°

AD = BC

AB = AB ...(common)

∴ AC = BD ...(hypotenuse)

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अध्याय 4: Geometry - Exercise 4.2 [पृष्ठ ८५]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
अध्याय 4 Geometry
Exercise 4.2 | Q 6. (iii) | पृष्ठ ८५

संबंधित प्रश्न

In Fig, DA ⊥ AB, CB ⊥ AB, and AC = BD. State the three pairs of equal parts in ∆ABC and ∆DAB. Which of the following statements is meaningful?


(i) ∆ABC ≅ ∆BAD
(ii) ∆ABC ≅ ∆ABD.


In Fig,

BD and CE are altitudes of ∆ABC such that BD = CE.
(i) State the three pairs of equal parts in ∆CBD and ∆BCE.
(ii) Is ∆CBD ≅ ∆BCE? Why or why not?
(iii) Is ∠DCB = ∠EBC? Why or why not?


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(i) State the three pairs of equal parts in ∆ADB and ∆ADC.
(ii) Is ∆ADB ≅ ∆ADC? Why or why not?
(iii) Is ∠B = ∠C? Why or why not?
(iv) Is BD = CD? Why or why not?


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