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प्रश्न
In the following figure, state the three pairs of equal parts in ΔABC and ΔEOD. Is ΔABC = ΔEOD? Why?
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उत्तर
In ΔABC and ΔEOD,
AB = EO ...(Given)
∠ABC = ∠EOD = 90° ...(Given)
AC = ED ...(Given hypotenuse)
∴ ΔABC ≅ ΔEOD ...(RHS criterion)
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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, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:
∆ABC, ∠A = 90°, AC = 5 cm, BC = 9 cm.
∆PQR, ∠Q = 90°, PR = 8 cm, PQ = 5 cm.
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?
In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP. Prove that IP ≡ OP.
In the given figure, D is the midpoint of OE and ∠CDE = 90°. Prove that ΔODC ≡ ΔEDC
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
For the given pair of triangles state the criterion that can be used to determine the congruency?
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In the following figure, QS ⊥ PR, RT ⊥ PQ and QS = RT.
- Is ∆QSR = ∆RTO? Give reasons.
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