The following figure shows triangle A'B'C that is produced by applying a scale factor of 3 to triangle ABC.
A 18cm, B 24cm, C 30cm
Which of the following triangles shows the scale drawing of triangle ABC if the scale factor were 2?
W 18cm, 16cm, 22cm
X 16cm, 12cm, C 20cm
Y 12cm, 24cm, 27cm
Z 12cm, 16cm, 20cm
The correct answer is Z 12cm, 16cm, 20cm.
To find the side lengths of the scaled triangle ABC with a scale factor of 2, we multiply each side of triangle ABC by 2:
Side AB = 18cm * 2 = 36cm
Side BC = 24cm * 2 = 48cm
Side AC = 30cm * 2 = 60cm
Therefore, the scaled triangle ABC with a scale factor of 2 has side lengths of 36cm, 48cm, and 60cm, which correspond to triangle Z 12cm, 16cm, 20cm.