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Aliun [14]
3 years ago
15

Two similar triangles are shown on the coordinate grid:

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis

Step-by-step explanation:

Let us write the vertices of Δ ABC

∵ Vertex A = (-2, -1)

∵ Vertex B = (0, 0)

∵ Vertex C = (1, -3)

Let us Write the vertices of Δ A'B'C'

∵ Vertex A' = (-4, 2)

∵ Vertex B' = (0, 0)

∵ Vertex C' = (2, 6)

Let us find the scale factor k between the x-coordinates of the points and their images.

∵ -4 = k (-2) ⇒ Divide both side by -2

∵ \frac{-4}{-2} = \frac{-2k}{-2}

∴ 2 = k

∴ The scale factor of a dilation is 2

∵ The signs of the y-coordinates of the images are the opposite of

    the signs of the y-coordinates of the points

∴ The triangle is reflected about the x-axis

∴ The set of transformations has been performed on triangle ABC

   is dilation by a scale factor of 2 followed by reflection about the x-axis

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