Triangle MNO ~ Triangle MLK with LK= 3cm, NO= 12cm, LM= 6cm, and LN= 18cm

Find the scale factor of the two triangles.

F. 4 to 1
G. 3 to 5
H. 3 to 4
J. 1 to 5

To find the scale factor of two similar triangles, we can compare the corresponding sides.

In this case, we have Triangle MNO ~ Triangle MLK. Let's compare the corresponding sides:

MN corresponds to ML
NO corresponds to LK
MO corresponds to MK

Given the lengths of the sides:
MN = 18 cm
NO = 12 cm
ML = 6 cm
LK = 3 cm

We can find the scale factor by comparing the lengths of corresponding sides. The scale factor is the ratio of the lengths of the corresponding sides of the two triangles.

To find the scale factor between Triangle MNO and Triangle MLK, we can compare the lengths of the corresponding sides using the formula:

Scale factor = Length of corresponding side in MNO / Length of corresponding side in MLK

Scale factor = MN / ML

Let's calculate the scale factor:

Scale factor = 18 cm / 6 cm
Scale factor = 3

Therefore, the scale factor of Triangle MNO to Triangle MLK is 3 to 1.

None of the provided answer choices match with the calculated scale factor of 3 to 1.