Question

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

Answer 1

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,

`(AB)/(A'B')= (15)/(5)=3 \\\\ (AC)/(A'C')= (12)/(4)=3`

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.