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The simplest way is to construct a square which has two pairs of equal opposite parallel lines

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10y ago

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How many pairs of congruent angles will be formed when two parallel lines are intersected by other two parallel lines?

There are 56 pairs of congruent angles.


What is the converse statement of if two parallel lines are cut by a transverse then the alternate angles are congruent?

If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.


What are three biconditionals about parallel lines and transversals?

Three biconditionals regarding parallel lines and transversals are: If two lines are parallel, then corresponding angles formed by a transversal are congruent. If a transversal intersects two lines such that alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel.


What is the converse of parallel lines conjecture?

If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.


When two lines in a plane are cut by a tansversal and if the corresponding angles are congruent then what are the two lines?

Parallel


What is two lines cut by a transversal so that corresponding angles are congruent then what is the lines?

They are parallel lines


What are the properties of the isosceles trapazoid?

Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.


Are alternate exterior angles always congruent?

Yes, alternate exterior angles are always congruent when two parallel lines are cut by a transversal. This is a fundamental property in geometry that arises from the parallel nature of the lines. If the lines are not parallel, the alternate exterior angles may not be congruent.


What shape has two parallel lines and no congruent lines and one right angle?

A trapezoid!


If two lines are cut by a transversal so that corresponding angles are congruent?

If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.


If two parallel lines are cut by a transversalthen corresponding angles are what?

congruent


What is a line that intersects two parallel lines?

a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.