Question

f Sienna wants to plant a triangular garden that has a perimeter of 45 feet, and her neighbor Julio wants to create a congruent triangular garden, then what would the perimeter be for Julio’s garden? 45 feet 90 feet 22.5 feet None of these choices are correct.

Answer 1

45 feet

Explanation:

The term congruent as applied to triangles means that we have two triangular shapes which are mirror images of each other.

What this means is that they have exactly the same measure of length of their sides and equal measure of angles too.

This means that they are similar in all respect.

Since they are similar in all respect, it is expected that they have equal measure of everything including the perimeters and the area.

The perimeter simply involve adding all the lengths of the sides together.

And since the lengths on both ends are equal, we can conclude that both are equal in perimeter.

Hence, the perimeter of Julio’s garden is same as his neighbors’ which is 45 feet