Question

Draw AB of Length 3.5 cm.Then draw AC and BC on side of the line. Now take any point D on AB Draw DC.Is there any point of concurrency?Which lines or rays are concurrent

Answer 1

A, B, C & D are Non-Concurrent

Step-by-step explanation:

1. Line AB of length 3.5 is drawn initially.

2. With A as center, extend the line AB till point C.

3. From the last point (AC line construction, B is lying in between AC)

4. BC is already drawn, as B was lying in between on AC.

5. Take any point on AB and mark it as D, which shows that DC is also the line or extension of AB.

As per the definition of concurrent lines-  

A set of lines or curves are said to be concurrent if they all intersect. at the same point.  

So, as per above construction, all the points A, B, C & D are lying on same line but do not intersect at a common point, so they are non-concurrent.

All non parallel lines are said to be concurrent, if they intersect at common point.

Answer 2

Given that,

Length AB = 3.5 cm

Concurrency :

These lines which lie in the same plane and intersect in a single point. It is called concurrency lines. The point of intersection is the point of concurrency .

We need to draw the figure

Using given data

Firstly we draw a line segment AB = 3.5 cm.

Now, with A as center and radius more than half of AB and mark one arcs above the line AB.

Again, with B as center and radius more than half of AB and mark one arcs above the line AB.

Name the point of intersection is C.

Now, join the line of point A and C is AC.

Join the line of point B and C is BC.

And join the line C with mid point of D in AB line is DC.

So, The lines AB, AC, BC and DC are concurrent lines.

If we join the point A with midpoint G of BC and join the point B with midpoint H of AC.

Then, the line of AG and BH is concurrency lines.

Hence, This is required answer.