The dashed-line triangle is a dilation image of the solid-lined triangle.

A graph is shown with x and y axes that extend from negative 8 to positive 8 in increments of 2.
A triangle formed by solid black line segments is shown with vertices at negative 9 comma 4, negative 9 comma negative 8, and 7 comma negative 8.
A second smaller triangle formed by dashed line segments is shown with vertices at negative 5 comma 6, negative 5 comma 2, and 0 comma 2.



Is the dilation an enlargement or a reduction? What is the scale factor of the dilation? (1 point)

reduction; one-third
enlargement; one-third
reduction; 3
enlargement; 3

The dashedline triangle is a dilation image of the solidlined triangle A graph is shown with x and y axes that extend from negative 8 to positive 8 in incremen class=

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Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
[tex] \frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3 [/tex]

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer:   reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.
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