Home
Class 10
MATHS
Write the converse of the following sta...

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

Text Solution

Verified by Experts

The correct Answer is:
If the alternate angles formed by two lines and their transversal are congruent, then the two lines are parallel.
Promotional Banner

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise PARALLES LINES|11 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise TRIANGLES|15 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise Mesuration|4 Videos
  • BOARD QUESTION PAPER: MARCH 2019

    TARGET PUBLICATION|Exercise (Solve the following questions (Any one):|4 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Chapter Assessment|9 Videos

Similar Questions

Explore conceptually related problems

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

Parallel Lines and a Transversal

Transversal to two parallel lines:

Write converse of the following statement: If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are.... (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are... (iii) Two lines perpendicular to the same line are.... to each other. (iv) Two lines parallel to the same line are .......... to each other. (v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the line are... (vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180,then the line are .......

Write the contrapositive and converse of the following statements. If the two lines are parallel, then they do not intersect in the same plane.

Write the converse cand contrapositive of the following statement : 'If two triangles are congruent, then their areas are equal.

Write the converse of the following statements: If two integers a and b are such that a>b then a-b is always a positive integer.If x is prime number,then x is odd.If two lines are parallel,then they do not intersect in the same place.

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

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 .