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What two lines are cut by a transversal?

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What two lines are cut by a transversal?

If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

What is a transversal line in geometry?

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry. A transversal intersection with two lines produces various types of angles in pairs, such as consecutive interior angles, corresponding angles and alternate angles.

What is transversal line example?

You have probably ridden in a car on a street that crossed railroad tracks. As you crossed the tracks, you completed a transversal. A transversal is a line that crosses other lines. Usually we work with transversals when they cross parallel lines, like the two tracks of a railroad.

When a transversal cuts two parallel lines the following angles are formed?

When two parallel lines are intersected by the transversal, eight angles are formed. The eight angles include corresponding angles, alternate interior and exterior angles, vertically opposite angles, and co-interior angles.

What are parallel lines called?

Two lines that are stretched into infinity and still never intersect are called coplanar lines and are said to be parallel lines. The symbol for “parallel to” is //.

What are the properties of the parallel line cut by a transversal discuss briefly?

1. Two lines cut by a transversal line are parallel when the corresponding angles are equal. The two pairs of angles shown above are examples of corresponding angles. In general, they are angles that are in relative positions and lying along the same side.

What does supplementary mean in geometry?

Definition of supplementary angles : two angles or arcs whose sum is 180 degrees.

Which of the following is an example of parallel lines cut by a transversal?

Some examples of parallel lines cut by a transversal: Zebra crossing on the road. Road and railway crossing. Railway tracks with sleepers.

When a transversal cuts two parallel lines each pair of corresponding angles are?

If two parallel lines are cut by a transversal, then each pair of corresponding angles are equal.

What are the names of the pairs of angles formed when cut by a transversal?

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

How to calculate the distance between two parallel lines?

Ensure whether the equations of the given parallel lines are in slope-intercept form (y=mx+c).

  • The intercepts (c 1 and c 2) and slope value which is common for both the lines has to be determined.
  • After obtaining the above values,substitute them in the slope-intercept equation to find y.

    • How to construct two parallel lines?

    Paper

  • Pencil
  • Straightedge (like a ruler or any straight,thin,smooth object)
  • Compass (not the kind for direction; the kind with two legs,one with a point and one with a pencil)

    • What is line that cuts across two or more parallel lines?

    Definition: A line that cuts across two or more (usually parallel) lines. In the figure below, the line AB is a transversal . It cuts across the parallel lines PQ and RS. If it crosses the parallel lines at right angles it is called a perpendicular transversal .

    Does proving that two lines are parallel require a postulate?

    The parallel postulate can be used to prove if lines are parallel to one another or not. It is important to remember that only one parallel line can be formed through the given point.