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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

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

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प्रश्न

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

तक्ता
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उत्तर

Statements Reasons
1. CI = CO ∵ CIP ≡ COP, by CPCTC
2. IP = OP By CPCTC
3. CP = CP By CPCTC
4. Also HI = HO CPCTC ∆HIP ≡ HOP given
5. IP = OP By CPCTC and (4)
6. ∴ IP ≡ OP By (2) and (4)
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पाठ 5: Geometry - Exercise 5.1 [पृष्ठ १६५]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 5 Geometry
Exercise 5.1 | Q 2 | पृष्ठ १६५

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.


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.


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