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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

बेरीज

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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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. (iv) | पृष्ठ ८४

संबंधित प्रश्‍न

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:

∆ABC, ∠B = 90°, AC = 8 cm, AB = 3 cm.

∆PQR, ∠P = 90°, PR = 3 cm, QR = 8 cm.


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?


In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP. Prove that IP ≡ OP.


Is ΔPRQ ≡ ΔQSP? Why?


To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion


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 figure, QS ⊥ PR, RT ⊥ PQ and QS = RT.

  1. Is ∆QSR = ∆RTO? Give reasons.
  2. Is ∠PQR = ∠PRQ? Give reasons.


In the given figure, state the three pairs of equal parts in ΔABC and ΔEOD. Is ΔABC = ΔEOD? Why?


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