Question

A line which cuts a pair of parallel lines is called

(A) tangent

(B) chord

(C) traversal

(D) intersector

Answer 1

Answer:

A line which cuts a pair of parallel lines is called

(C) traversal

Answer 2

In the option, there is a small grammatical error. Please go through the below content for the correct answer.

Answer:

A line that cuts a pair of parallel lines is called a transversal.

Step-by-step explanation:

• Transversal:

         A Transversal is a line that cuts two parallel lines at two distinct points in a plane.

• Angles formed by Transversal:

         There are 8 angles formed by Transversal. They are mentioned below

     Corresponding angles, Alternate Interior angles, Alternate Exterior angles, and  Consecutive-interior angles

Corresponding angles: The corresponding angles formed by Transversal lines have the relative position.

In the figure, the corresponding angles are

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Alternate Interior angles:

Alternate Interior angles are formed on the inside of the two parallel lines which are intersected by a transversal. They are always equal in measure.

In the figure, there are two pairs of alternate interior angles.

         ∠3 and ∠6

         ∠4 and ∠5

Alternate Exterior angles:

Alternate Exterior angles are formed on either side of the transversal line. They are always equal in measure.

In the figure, there are two pairs of Alternate Exterior angles.

         ∠1 and ∠8

         ∠2 and ∠7

Consecutive-interior angles:

The pair of angles formed inside of one side of the transversal line is called Consecutive-interior angles.

In the figure, there are two pairs of consecutive interior angles.

           ∠4 and ∠6

           ∠3 and ∠5

The pair of consecutive-interior angles are supplementary

∠4 + ∠6 = 180°

∠3 + ∠5 = 180°

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