Triangle L O W is drawn with a dotted line and is located in quadrant 3 of a coordinate plane. Triangle F G H is drawn with a solid line and is located in quadrant 4.

Question

Given ΔLOW∼ΔFGH
. What is the scale factor of their corresponding side lengths?

Option #1: 2:1

Option #2: 1:2

Option #3: 1:4

Option #4: 4:1

(1 point)
The correct response is Option

Answer 1

To determine the scale factor between the two triangles ΔLOW and ΔFGH, we need to consider the relationship between their corresponding side lengths. Since you mentioned that ΔLOW is similar to ΔFGH (ΔLOW∼ΔFGH), we can derive the scale factor based on the given options.

The scale factor is typically represented as the ratio of a corresponding side length of one triangle to that of the other triangle.

Without specific measurements for the sides of the triangles, we can look at the options provided:

• Option #1: 2:1 implies that side lengths of ΔLOW are twice that of ΔFGH.
• Option #2: 1:2 implies that side lengths of ΔLOW are half that of ΔFGH.
• Option #3: 1:4 implies that side lengths of ΔLOW are one-quarter that of ΔFGH.
• Option #4: 4:1 implies that side lengths of ΔLOW are four times that of ΔFGH.

If we consider the fact that ΔLOW is in quadrant 3 and ΔFGH is in quadrant 4, without additional information about the specific dimensions of the triangles, we can't definitively determine the scale factor from the provided information alone. However, if we had other contextual clues or if we visually compared the triangles and drew measurements, we could choose the appropriate option.

Given that there is no specific information to provide the exact scale factor, I would not be able to select an option confidently. If you can provide any dimensions or further context, I can analyze it to provide an accurate answer.