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### Geometry - Point and Line

Answer the following questions:

a) How many straight lines can be drawn from a point?

b) How many straight lines can be drawn through two points?

c) How many curved lines can be drawn through two points?

d) Through how many points do two lines intersect each other?

e) What is the angle made by two perpendicular lines?

f) What is the angle made by two parallel lines?

g) If the perpendicular distances between two lines at any point are equal, what are the lines said to be?

h) Are the opposite edges of your desk parallel?

i) Are the breadths of your books perpendicular to their lengths?

j) How many plane surfaces are there in your exercise book?

Sagot :

GinnyAnswer
Sure, let's go through each question step by step.

### a) How many straight lines can be drawn from a point?
From a single point, you cannot determine a straight line because it requires at least two points to define a straight line. Therefore, the number of straight lines that can be drawn from a single point is considered to be infinite because you can theoretically draw lines from that point in any direction.

### b) How many straight lines can be drawn through two points?
Through any two distinct points, there can be exactly one unique straight line. So, the number of straight lines that can be drawn through two points is one.

### c) How many curved lines can be drawn through two points?
There is no restriction on the number of curved lines that can pass through two points. Curved lines can be infinitely varied in their shapes and forms. Therefore, an infinite number of curved lines can be drawn through two points.

### d) Through how many points do two lines intersect each other?
Two non-parallel lines intersect each other at exactly one point. Therefore, the number of points at which two lines intersect each other is one.

### e) What is the angle made by two perpendicular lines?
Two lines that are perpendicular to each other intersect to form a right angle. The angle made by two perpendicular lines is 90 degrees.

### f) What is the angle made by two parallel lines?
Parallel lines never intersect each other and are equidistant at all points. Hence, the angle made by two parallel lines is 0 degrees.

### g) If the perpendicular distances between two lines at any point are equal, the lines are said to be?
When the perpendicular distances between two lines are equal at any point, the lines are said to be parallel.

### h) Are the opposite edges of your desk parallel?
Yes, generally, the opposite edges of a typical desk are parallel.

### i) Are the breadths of your books perpendicular to their lengths?
Yes, in most cases, the breadth of a book is perpendicular to its length.

### j) How many plane surfaces are there in your exercise book?
An exercise book typically has two plane surfaces: the front cover and the back cover. Therefore, there are two plane surfaces in an exercise book.

I hope these explanations help! If you have any further questions, feel free to ask.
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