Point of Intersection

Q. Two non parallel lines intersect each others at a single point only. What does this staments called?

1. Theorem
2. Axiom
3. ​​​​​​(a) and (b) above.
4. None of the above

Q.

(Street Plan) : A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city-run parallel to these roads and are $200\mathrm{m}$ apart. There are $5$ streets in each direction. Using $1\mathrm{cm}=200\mathrm{m}$, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the $2^{\mathrm{nd}}$ street running in the North-South direction and $5^{\mathrm{th}}$ in the East-West direction meet at some crossing, then we will call this cross-street $(2,5)$. Using this convention, find:

(i) How many cross-streets can be referred to as $(4,3)$.

(ii) How many cross-streets can be referred to as $(3,4)$.

Q. In geometry, when two or more lines meet or cross each other in a plane, the lines are termed as lines.

Q. When two lines meet at a common point, a/an ____ is formed.

1. line
2. angle
3. ray
4. circle

Q. The point at which two lines cross each other is known as

1. point
2. decimal
3. point of intersection
4. none of these

Q. Which among the following is/are the property/properties of intersecting lines?

1. Intersecting lines meet at a single point, they cannot meet at more than one point.
2. Intersecting lines meet each other at any angle which is greater than $0^{\circ }$ and less than ${180}^{\circ }$.
3. Intersecting lines meet at more than one point
4. None of these

Q. Are these lines intersecting?

1. yes
2. no

Q. The distance between two parallel lines keeps changing.

1. True
2. False

Q.
In the figure shown above, find the point of intersection of the lines $YZ$ and $UV$.

1. $M$
2. $N$
3. $O$
4. None of these

Q. When two lines meet at a common point, a/an ____ is formed.

1. line
2. angle
3. ray
4. circle