181.In the adjacent figure, if LM || CB and LN || CD, prove that
In ∆ABC, we have LM || CB [Using Basic proportionality theorem] IN ∆ADC, We have LN || CD [Using Basic proportionality theorem] From (i) and (ii), we have proved. [Converse of Basic proportionality theorem]
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182.In the given figure. DE || AC and DF || AE. Prove that
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183.In the given Fig. DE || OQ and DF || OR. Show that EF || QR.
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184.In the given fig, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
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Short Answer Type
185.Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side.
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186.Using Theorem 6.2 (N.C.E.R.T.), prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side.
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Long Answer Type
187.ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that
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188.The diagonals of a quadrilateral ABCD intersect each other at point O such that Show that ABCD is a trapezium.
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189.State which pairs of triangles in the given Fig, are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form:
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Short Answer Type
190.
In the given fig. ∆ODC ~ ∆OBA, ∠BOC = 125° and ∠CDO = 70°. Find ∠DOC, ∠DCO and ∠OAB.
Long Answer Type
Short Answer Type
Show that ABCD is a trapezium.
proved.
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