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First, lines and rays cannot be congruent because they do not have both end points defined. Not having an end point define means we cannot talk about their length so they can't be congruent. Line segments, however, can be congruent. Congruent line segments NEED NOT be parallel.
Furthermore, if two line segments are parallel, that does not mean they are congruent since parallel line segments may not have the same length.
Congruent line segments would be ones that are the same length.
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What does parallel lines intercepted arc conjecture mean?
Parallel lines intercept congruent arcs on a circle. More explanation: Parallel lines never interSECT but they can interCEPT Congruent arcs means that the two arcs would have the same measure of the arcs.
If two parallel lines are cut by a transversal then the alternate interior angles are always?
Congruent
What does the symbol of two parallel wavy lines mean?
The two wavy lines symbolizes that the shapes are congruent. This means that they are the same size as each other.
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
How can you determine if two lines are parallel?
There are three ways to find if two lines are parallel. The first one is to see if there is any indication. I there isn't, you should never trust your eyes. Instead, you should find the slope of each line. If they are then the two lines are parallel. Another way to find if two lines are parallel is to see if there are any corresponding angles, Alternate Interior Angles, and Alternate Exterior Angles. If there are and they are congruent, then the two lines are parallel.
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
How do you show two parallel lines are congruent?
The simplest way is to construct a square which has two pairs of equal opposite parallel lines
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.
