Question

A triangle has vertices at O(0, 0), A(1, 0), and B(0, 1). A dilation centered at (1, 0) is applied to the triangle. _______of the sides lie on the same line as their respective images.

Answer choices: One , All three, none, Two

Answer 1

Answer: (All Three) of the sides lie on the same line as their respective images.

Explanation:

Answer 2

Vertices of Triangle = O(0,0), A(1,0) and B(0,1).

Dilation Centered at (1,0) is applied to the triangle.

It means vertices of triangle has moved 1 unit horizontally right and there will be no change in vertices of y.

So, New Vertices of Triangle = O'(1,0), A'(2,0), C(1,1)

As you can see sides joining (0,0) and (1,0) i.e preimage And sides joining (1,0) and (2,0) i.e image lie on the same line i.e on X axis.

So, the correct option is one of the sides lie on the same line as their respective images.