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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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∙ 9y 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 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.
What shape has two parallel lines and no congruent lines and one right angle?
A trapezoid!
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 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.
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.
Is it true that if two lines are crossed by a transversal the two lines are parallel?
A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.
What is a line that intersects parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
