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In the adjoining figure, M is the midpo...

In the adjoining figure, M is the midpoint of side BC of a paralleogram ABCD such that `angle BAM= angle DAM.` Prove that `AD = 2 CD.`

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`angle AMB=angle DAM ( because "AD||BC")`
`rArr angle AMB= angle BAM rArr AB=BM rArr CD=(1)/(2)(BC) rArr CD=(1)/(2)(AD) rArr AD=2CD.`
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RS AGGARWAL-QUADRILATERALS-EXERCISE 10B
  1. In the adjoining figure, ABCD is a parallelogram in which angle A =72...

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  2. In the adjoining figure, ABCD is a paralleogram in which angle DAB=80^...

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  3. In the adjoining figure, M is the midpoint of side BC of a paralleogr...

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  4. In the adjoining figure, ABCD is a parallelogram in which angle A = ...

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  5. In the adjoining figure , ABCD is a parallelogram in which angle BAO=...

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  6. In a parallelogram ABCD , if /A=(2x+25)^@ and /B=(3x-5)^@. Find the va...

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  7. If an angle of a parallelogram is four fifths of its adjacent angle, f...

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  8. Find the measure of each angle of a parallelogram, if one of its angle...

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  9. ABCD is a parallelogram in which AB=9.5 cm and its perimeter is 30 c. ...

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  10. In each of the figures given below, ABCD is a rhombus. Find the value...

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  11. The length of the diagonals of a rhombus are 24cm and 18cm respectivel...

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  12. Each side of a rhombus is 10 cm long and one of its diagonals measures...

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  13. In each of the figures given below, ABCD is a rectangle. Find the valu...

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  14. A B C D is a rhombus in which the altitude from D to side A B\ bisect...

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  15. In the adjoining figure, ABCD is a square. A line segment CX cuts AB a...

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  16. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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  17. In a parallelogram ABCD, points M and N have been taken on opposite si...

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  18. In the adjoining figure, ABCD is a parallelogram.If P and Q are the ...

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  19. In the adjoining figure, ABCD is a parallelogram whose diagonals int...

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  20. The angle between the altitudes of a parallelogram, through the sam...

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