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Write the converse of, "the alternate an...

Write the converse of, "the alternate angles formed by two parallel lines and their transversal are congruent."

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Write the converse of the following statement. The alternate angles formed by two parallel lines and their transversal are congruent.

Parallel Lines and a Transversal

Write the converse of, "if the corresponding angles formed by a transversal of two lines are congruent, then two lines are parallel."

Transversal to two parallel lines:

Two right angles are congruent

Two acute angles are congruent

AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP|""|BQ .

AB and CD are the disetors of the two alternate interior angle formed by the intersection of a trans versal t' with parallel lines 'C' and 'm.' show that AB||CD .

If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -

If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel,prove that the given lines are parallel.

UNIQUE PUBLICATION-COVERAGE STANDARD QUESTION -2 Mark Questions
  1. Write the converse of, "the alternate angles formed by two parallel li...

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  2. The sum of measure of all angle of a triangle is 180^(@). Draw the lab...

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  3. IntriangleLMN, angleL=30^(@), angleM=90^(@), angleN=60^(@) and LN=18, ...

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  4. Angles of triangle are in the ratio of 2:3:4 then find the measure of ...

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  5. triangleXYZ ~ triangleLMN. Write the corresponding angles of the trian...

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  6. In trianglePQR, angleQ=90^(@), PQ=12cm, QR=5cm and QS is a median, fin...

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  7. The measure of triangle are x^(@), (x+10)^(@), (2x+10)^(@). Find the m...

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  8. Prove that an equilateral triangle is equiangular.

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  9. Show that in a right angled triangle, the hypotenuse is the longest...

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  10. trianglePQR, angleQ=90^(@), PQ=12, QR=5, QS is a medium find l(QS).

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  11. In the figure , angle ACD is an exterior angle of triangle ABC, angle...

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  12. Construct triangle ABC with sides AB=5cm, BC=9cm, and AC=6cm.

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  13. Construct an equilateral triangle, if one side is 10 cm.

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  14. If opposite angles of a rhombus are 3x^(@) and (4x - 20)^(@) then find...

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  15. ABCD is parallelogram if angleA = (4x+13)^(@), angleD=(5x-22)^(@), the...

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  16. Two adjacent sides of a parallelogram is 150cm. One of its sides is gr...

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  17. Diagonal of rhombus are 6 cm and 8 cm respectively, then find sides of...

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  18. The angles of quadrilateral are in the ratio 3:5:9:13. Find the measur...

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  19. If the diagonals of a parallelogram are equal, then show that it is...

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  20. Diagonal AC of a parallelogram ABCD bisects A. Show that it bisects ...

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  21. Diagonals of a parallelogram intersect each other at point Q. If AQ =5...

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