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ABC is an isosceles right triangle in which AB 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 B'C'?

A. - 1

B. 0

C. 1

D. 1.5

E. 2

Respuesta :

Answer:

i think its 1.5 im not sure tho 1.5 sounds the best

Step-by-step explanation:

mhanifa

Answer:

  • C. 1

Step-by-step explanation:

Given

  • ΔABC with
  • Slope of AB = -1
  • ∠ABC = 90°

This means that AB⊥BC

The dilation doesn't affect the shape of the triangle, therefore:

  • A'B' has slope of -1
  • B'C' ⊥ A'B'

Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is  - 1.

Let the slope of B'C' is x, then:

  • -1*x = -1
  • x = 1

Correct option is C