Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .

Answer:
Triangle ABC is dilated by a scale factor of 1.5
Step-by-step explanation:
The general rule for the dilation about the origin with a factor of k is
[tex](x,y)\rightarrow (kx,ky)[/tex]
You are given two triangles ABC and A'B'C'.
In triangle ABC:
From the diagram, in triangle A'B'C':
As you can see
So, triangle ABC is dilated by a scale factor of [tex]\dfrac{3}{2}=1.5[/tex]
Answer:
Step-by-step explanation:
Givens
According to the graph, the vertices of the dilated triangle are A'(3,6), B'(6,0) and C'(9,9).
Notice that the dilation factor is a quotient between a dilated coordinate and an original coordinate. If we do this division
[tex]\frac{3}{2}=1.5\\\frac{6}{4}=1.5\\ \frac{9}{6}=1.5[/tex]
Therefore, the dilation factor is 1.5.
The right answer is the second choice.