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in this given figure l // m and M is the mid point of ab prove that M is also the mid point of any line segment cd having its end point at l and M respectively ​

Answer 1

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State true or false.

In the figure, l∣∣m and M is the midpoint of line segment AB. Then M is also the midpoint of any line segment having its endpoints C and D on l and m respectively.

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Correct option is A)

AM=MB

∠DMB=∠AMC( Vertically Opposite Angle)

∠ACD=∠CDB ( Alternating Angle)

Hence, According to ASA Congruency Criterion

△AMC≅△DMB

Hence, DM=MC

So, Point M is mid-point of CD

Answer 2

Answer:

In give figur l||ml||m and M is the mid-point of a line segment AB .Show that M is also the mid- point of any line segment CD,having its end points ...