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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 else can I help you with?
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 intersected by a transversal, then the alternate exterior angles are congruent.?
true
is this statement true or falseIf a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.?
true
Is this statement true or falseIf two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are perpendicular.?
false
What is true of parallel lines?
They never intersect.
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.
Corresponding angles formed when parallel lines are intersected by a transversal are congruent?
true
Is it true if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other?
Yes, it is true. If a transversal is perpendicular to one of two parallel lines, it must also be perpendicular to the other parallel line. This is a consequence of the properties of parallel lines and transversals, which dictate that corresponding angles formed by the transversal and the parallel lines are congruent. Therefore, if one angle is a right angle, the other must also be a right angle, confirming the perpendicularity.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.?
true
is this statement true or falseIf a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.?
true
Is this statement true or falseIf two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.?
true
What is always true about alternate interior angles when non-parallel lines are cut by a transversal?
When non-parallel lines are cut by a transversal, alternate interior angles are not necessarily equal. Instead, the relationship between these angles depends on the specific measures of the angles formed by the transversal and the non-parallel lines. Therefore, unlike the case with parallel lines, alternate interior angles do not have a consistent property of being congruent when the lines are not parallel.
Is it true that if a transversal intersects two parallel lines then corresponding angles are supplementary?
yes !
Is this statement true or falseIf two lines are intersected by a transversal so that consecutive interior angles are congruent, then the lines are parallel.?
false
what- in the figure, line p is a transversal to lines m and n.Which statement must be true?
lines m and n are parallel if x= 12 and y= 54
Is this statement true or falseIf two lines are intersected by a transversal, there are 2 pairs of alternate interior angles.?
true
Is this statement true or falseIf two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are perpendicular.?
false
