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If a transversal intersects two parallel...

If a transversal intersects two parallel line then corresponding angles are an necessarily equal.

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State the converses of the following statement. In each case, also decide whether the converse is true or false.:- If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

If two parallel lines are cut by a transversal then corresponding angles are equal.

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then find the greater of the two angles.

If a transversal intersects three lines than number of intersecting points will be :

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then two lines are ......... .

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180^@ , then the lines are .......... .

If two parallel lines are intersected by a transversal, then each pair of corresponding angles are .......... .

MODERN PUBLICATION-INTRODUCTION TO EUCLID'S GEOMETRY-EXERCISE
  1. Euclid belongs to the country :

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  2. Thales belongs to the country :

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  3. Pythagoras was a student of :

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  4. Which of the following needs a proof ?

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  5. Euclid stated that all right angles are equal to each other in the for...

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  6. Lines are parallel if they do not intersect is stated in the form of :

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  7. If the lines AB and AC are parallel to a line l, show that the points ...

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  8. How would you rewrite Euclid’s fifth postulate so that it would be eas...

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  9. In the fig. AX=1/2AB,AY=1/2AC and AX=AY, prove that AB=AC

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  10. Two distinct lines in a plane can have two points in common.

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  11. It is known that x+y=10 and that x=z. show that z+y=10?

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  12. Look at the figures. Show that the length AH> sum of lenghts of AB+BC+...

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  13. In fig. angleABC=angleACB and angle3=angle4. Prove that angle1=angle2

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  14. If a transversal intersects two parallel line then corresponding angle...

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  15. If a ray stands on a line, then the sum of angles so formed is equal t...

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  16. If two lines intersect, then vertically opposite angles are......... .

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  17. If a ray stands on a line, then the sum of the two adjacent angles so...

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  18. The things which are double of the same thing are equal to one another...

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  19. If equals are added to equals the wholes are equal.

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  20. The things which are double of the same thing are equal to one another...

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