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| eee The point of intersection of the altitudes of a triangle is known as eee |
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eee The point of intersection of the perpendicular bisectors of a triangle is known as
eee |
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| eee The point of concurrency of the interior angle bisectors of a triangle is known as eee |
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| eee From the figure, find the ratio of BD : DC. eee |
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| eee In the figure, m∠BPQ = 30, then find m∠PBC. eee |
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| eee AD¯ is the perpendicular bisector of BC¯. If AD = 24 cm and BD = 7 cm, then find AC. eee |
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eee If m∠BAI = 30 and m∠ACI = 25, then find m∠ABI.
eee |
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eee Which of the following always lies inside a triangle?
1. incenter
2. orthocenter
3. circumcenter
4. centroid eee |
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| eee In ΔABC, the bisector AX¯ of ∠A intersects BC¯ at X; XL¯ ⊥ AB¯ and XM¯ ⊥ AC¯. If XL = 10 cm, then what is the length of XM? eee |
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| eee In which triangle the incenter and circumcenter coincide? eee |
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eee AD¯ is the angle bisector of ∠CAB. If AC = AB, then find ∠ADB.
eee |
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eee In the figure, AM¯ is the angle bisector of ∠PAQ, then find PM : MQ.
eee |
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eee In ΔABC, OB¯ and OC¯ are the angle bisectors of ∠B and ∠C respectively. If m∠A = 100 and m∠B = 30, then find m∠BOC.
eee |
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eee In ΔABC, D is a point on BC¯, m∠ABD = 86, m∠ACD = 44 and AD¯ is the bisector of ∠BAC. What is m∠ADC?
eee |
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eee In the figure, AE¯ is the angle bisector of ∠A. If m∠B = 30 and m∠C = 40, then find m∠EAD.
eee |
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eee If the bisectors of ∠B and ∠C of an equilateral triangle meet at O, then what is the measure of ∠BOC?
eee |
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eee Find the m∠ADB in the given ΔABC, if AD¯ is the angle bisector of ∠BAC and if m∠ABC = 75 and m∠BCA = 65.
eee |
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eee Bisectors of ∠B and ∠C intersect at O. Prove that m∠BOC = 90 + A2.
eee |
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eee In the figure, AM¯ is the angle bisector of ∠PAQ, then find PM : MQ.
eee |
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eee Bisectors of ∠B and ∠C intersect at O. Prove that m∠BOC = 90 + A2.
eee |
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eee OB¯ and OC¯ are the external bisectors of ∠B and ∠C of ΔABC. If ∠B = x and ∠C = y, then find m∠BOC.
eee |
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eee If in a triangle ABC, the bisectors of ∠ABC and ∠ACB meet at M, then find m∠BMC when m∠ABC = m∠ACB = 70.
eee |
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| eee The angle bisectors and perpendicular bisectors coincide for a/an eee |
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eee AP¯ bisects ∠A. m∠B = x, m∠ACD = y. Find m∠APC.
eee |
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| eee Two angles of a triangle have the measures as 45º and 65º. Which cannot be the measure of the bisected angle of an exterior angle of the triangle? eee |
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