00:01
In question 3, we are given the vertices of triangle xyz, and it has been plotted on the graph, and we are told that a dilation of triangle xyz is centered at the origin, and it has a scale factor of 3.
00:19
So the image of triangle xyz under this dilation is triangle m and p.
00:26
So which of the following statements would be sufficient to prove that these two triangles? x, y, z and m and p are similar.
00:37
Okay, so triangle m and p is three times the size of triangle x, y, z.
00:45
And so let's look, analyze these different statements that should be taken to be sufficient to prove the similarity.
00:55
Now the first one is that the angle x is congruent to three times angle m and angle y is equal to three times angle n.
01:06
Well, when we compare these two triangles, x, y, z, and mnp, we can say that this x corresponds to m, y corresponds to n, and z corresponds to p, meaning these angles should be congruent.
01:25
But according to this statement that the angles here, the angles are actually a factor of each other...