1 of 41 of 4 Items

Question

Question
A board game uses a triangular piece measuring 3 inches on each side. The travel version of the game uses a triangle in a proportional relationship to the original. It measures 0.5 inches on each side. Identify the scale factor used to create the travel version of the piece.(1 point)
Responses

−16
negative 1 sixth

3.5
3 point 5

6
6

16
1 sixth
Skip to navigation

page 16 of 16

Answer 1

To find the scale factor used to create the travel version of the triangular piece from the original, we divide the side length of the travel version by the side length of the original version.

The original triangle measures 3 inches on each side, and the travel version measures 0.5 inches on each side.

Scale factor = (Side length of travel version) / (Side length of original version)
Scale factor = 0.5 inches / 3 inches
Scale factor = 0.5 / 3
Scale factor = 1 / 6

So the scale factor is \( \frac{1}{6} \).

The correct response is: 1 sixth

Answer 2

2 of 42 of 4 Items
Question

Determine the correct pairs of corresponding sides. Choose 2.

(2 points)
Responses

4 units corresponds to 5 units
4 units corresponds to 5 units

4 units corresponds to 7.5 units
4 units corresponds to 7.5 units

5 units corresponds to 7.5 units
5 units corresponds to 7.5 units

6 units corresponds to 4 units
6 units corresponds to 4 units

6 units corresponds to 5 units
6 units corresponds to 5 units

6 units corresponds to 7.5 units
6 units corresponds to 7.5 units
Skip to navigation

page 16 of 16

Answer 3

To determine the correct pairs of corresponding sides, we would typically need some information about the triangles or shapes being compared, such as their dimensions or a given ratio that defines their similarity.

Since the question does not provide that context, I’ll assume you are looking for pairs of side lengths that follow a proportional relationship based on common practices in geometry.

If we were to identify pairs simply based on proportionality without more specific context, we consider the most reasonable comparisons based on basic ratios.

However, without any specific detail about the figures in question, it is impossible to determine which pairs are actually corresponding.

If the corresponding sides are defined by similarity, look for consistent ratios among the pairs.

If you can provide more context about the shapes or proportions, I could help further. Otherwise, based solely on the pairs you've provided, I cannot definitively choose two that are correct without that additional information.