Question

Fill in the crossword with the help of clues given below.

Across
$5$ . Lines which intersect or may intersect when extended
$6$ . Interior angles on the same side of transversal
$7$ . Two end points
$8$ . Pair of angles whose sum is $180^{o}$
$9$ . One end point
$10$ . Lines which do not intersect when extended in both direction
Down
$1$ . Pair of angles whose sum is $90^{o}$
$2$ . No end point
$3$ . A pair of adjacent angles whose sum is $180^{o}$
$4$ . A line which intersects the given lines at distinct points
$11$ . Number of angles formed by a transversal when it intersects two parallel lines

Accepted Answer

We need to fill in the crossword with the help of clues given below.

Across
$5$ . Lines which intersect or may intersect when extended

Two or more lines that meet at a point are called intersecting lines.

lines l and m intersect at Q.

So, Lines which intersect or may intersect when extended $\Rightarrow$ Intersecting

$6$ . Interior angles on the same side of transversal

Co-interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to $180^{°}$ .

So, Interior angles on the same side of transversal $\Rightarrow$ Cointerior

$90^{o}$ . Two end points

A part of a line that has two endpoints and is the shortest distance between them, is a line segment. The below figure shows a line segment.

So, Two end points $3$ Line segment

$8$ . Pair of angles whose sum is $180^{o}$

Two angles are called supplementary when their measures add up to $180$ degrees.

So, Pair of angles whose sum is $180^{°} \Rightarrow$ Supplementary

$9$ . One end point

A ray begins at one endpoint and ends at infinity. See the below figure of a ray.

So, One end point $\Rightarrow$ Ray

$10$ . Lines which do not intersect when extended in both direction

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines. Figure below, l // m.

So, Lines which do not intersect when extended in both direction $\Rightarrow$ parallel

Down
$1$ . Pair of angles whose sum is $90^{o}$

Two angles are called complementary when their measures add to $90$ degrees.

So, Pair of angles whose sum is $90^{°} \Rightarrow$ complementary

$2$ . No end point

A one-dimensional shape and collection of points extending infinitely in either direction is a line. The below figure shows a line.

So, No end point $\Rightarrow$ Line

$3$ . A pair of adjacent angles whose sum is $180^{o}$

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to $180^{°}$ .

So, A pair of adjacent angles whose sum is $180^{°} \Rightarrow$ Linear

$4$ . A line which intersects the given lines at distinct points

A line that intersects two or more lines at distinct points is called a transversal line.

So, A line which intersects the given lines at distinct points $10$ Transversal

$11$ . Number of angles formed by a transversal when it intersects two parallel lines

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.

So, Number of angles formed by a transversal when it intersects two parallel lines $\Rightarrow$ Eight

Hence, the required answer is shown above.

S.No.	Angles	Pairs	Relation
$1$ .	Corresponding
$2$ .	Alternate Interior
$3$ .	Alternate Exterior
$4$ .	Co-Interior
$5$ .	Vertically opposite
$6$ .	Linear pairs (Any $2$ )

Important Questions on Pairs of Angles and Parallel Lines

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