Question

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Two similar triangles are shown on the following coordinate grid:

A coordinate plane is shown. Triangle EFG has vertices F at negative 2 comma 0, E at negative 2 comma 1, and G at negative 3 comma 0. Triangle E double-prime F double-prime G double-prime has vertices E double-prime at 8 comma 4, F double-prime at 8 comma 0, and G double-prime at 12 comma 0.

Which set of transformations has been performed on triangle EFG to form triangle E"F"G"?

Dilation by a scale factor of 4 followed by reflection over the x-axis
Dilation by a scale factor of 2 followed by reflection over the x-axis
Dilation by a scale factor of 4 followed by reflection over the y-axis
Dilation by a scale factor of 2 followed by reflection over the y-axis

Answer 1

Answer:

Dilation by a scale factor of 4 followed by reflection over the y-axis

Step-by-step explanation:

Answer 2

Answer:

The set of transformations that has been performed on triangle EFG to form triangle E"F"G" is:

• Dilation by a scale factor of 4 followed by reflection over the y-axis

Step-by-step explanation:

The coordinates of the vertices of triangle EFG are:

E(-2,1)

F(-2,0)

and G(-3,0)

Now when it is dilated by a scale factor of 4 then the rule of transformation is:

        (x,y) → (4x,4y)

Hence,

E(-2,1) → E'(-8,4)

F(-2,0) → F'(-8,0)

and G(-3,0) → G'(-12,0)

Now when this figure is again reflected over the y-axis then the rule of  transformation is:

       (x,y) → (-x,y)

Hence,

E'(-8,4) → E"(8,4)

F'(-8,0) → F"(8,0)

and G'(-12,0) → G"(12,0)