Abc is an isosceles right triangle in which has a slope of -1 and mabc = 90°. abc is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image a'b'c'. what is the slope of ? a. - 1 b. 0 c. 1 d. 1.5 e. 2

Let ABC be the triangle where A is at (0, a), B is at (0, 0) and C is at (a, 0).

Note that BA = BC = a, as ABC is isosceles.

Also, ∠B = 90°

After a dilation with a scale factor of 1.8 with the origin as the center of dilation, length BA will be increased to 1.8 times and will become B'A'.

So, point A will be moved to (0, 1.8a).

Similarly, point C will be moved to (1.8a, 0).

Now, slope of A'C' =

= - 1.

Hence, the dilation preserves the slope of the hypotenuse.

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