Question

Ethan has a map of his town. Three streets form a triangle. He measured the angles between the streets and the lengths of the streets on the map. He lives on street BA and knows it is 0.19 miles long. Which of the following statements are true? Select all that apply.

a) The angle measurements of the triangle are needed to determine the true distances.
b) Ethan's house is located on a street that is 0.19 miles long.
c) The lengths of all three streets in the triangle are equal.
d) The map is a scale model of the town's streets.

Answer 1

The angle measurements of the triangle are needed to determine the true distances. Ethan's house is located on a street that is 0.19 miles long. The map is a scale model of the town's streets.

Step-by-step explanation:

In order to determine which statements are true, let's analyze the given information. Ethan lives on street BA, which is 0.19 miles long. The length of one street is not enough information to determine the lengths of the other two streets. Therefore, statement a) is true.

Since Ethan lives on street BA, which is given to be 0.19 miles long, statement b) is true.

There is no information given about the lengths of the other two streets in the triangle. So, we cannot conclude that all three streets are equal. Therefore, statement c) is false.

The map is a scaled-down representation of the town's streets. So, statement d) is true.