00:01
Consider the quadrilateral a, b, c, d.
00:08
First part says that the quadrilateral is translated along a -b with twice the distance of a -b.
00:19
So translate the quadrilateral to the new position at a -b -b -b -d -d -d -d -d.
00:27
This will be the translation.
00:31
A -d -b -b -c -c -d -c -d - and d -d -d -d-.
00:37
Notice that each point of the quadrilateral is translated along the same vector, that is along the same distance.
00:48
And angles are unchanged.
00:51
Angle c remains is equals to angle c dash and everything.
00:56
So these quadrilaterals are congruent.
01:01
After translation, the quadrilitarials are congruent.
01:05
Now second part says that the quadrilateral is dilated by half.
01:15
So let's see the enlarged figure of the quadrilateral.
01:21
Let this be the quadrilateral a, b, c, d.
01:26
The quadrilateral is dilated by half.
01:30
So each distance of the quadrilateral will become half.
01:33
This will point c -half of ac.
01:36
A will be a dash because the relation is about point a.
01:41
This is b dash and this is sorry d -dash.
01:48
Join the points.
01:50
We can clearly see that all the measures of lines have become half.
01:58
That is, we can write that ab equals to twice of a -d -b -b -dash.
02:06
A -dash -b -dash.
02:07
That means these quadrilatals are not congruent.
02:11
In congruent quadrilaterals, the distance between the points remain same.
02:17
So these are non -congruent.
02:21
Now the third part says, let's make the quadrilateral first.
02:27
This is abcd.
02:34
The quadrilateral is rotated about point a anticlockwise...