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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ७

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

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प्रश्न

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

योग
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उत्तर

Let the two triangles be ∆XYZ and ∆XYW

Here ∠W = ∠Z = 90°

`bar("XY") = bar("XY")` ...(Common Hypothenure)

`bar("XW") = bar("XZ")`  ...(given)

By RHS criterion ∆XYZ ≅ ∆XYW

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अध्याय 4: Geometry - Exercise 4.2 [पृष्ठ ८४]

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

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?


ABC is an isosceles triangle with AB = AC and AD is one of its altitudes.


(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?


Is ΔPRQ ≡ ΔQSP? Why?


In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:


In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:


In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:


In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:


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  1. Is ∆QSR = ∆RTO? Give reasons.
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