Question

a landscaper uses two different colors of triangular pavers, $\triangle cde$ and $\triangle hij$, to create a path in a yard. given that $\triangle cdecong\triangle hij$, $overline{cd}=2$ feet, $overline{de}=1.25$ feet, and $overline{ce}=2.5$ feet, what is the length of $overline{hi}$?
1.25 feet
2 feet
2.5 feet
3.75 feet

Explanation:

Step1: Recall property of congruent triangles

If $\triangle CDE\cong\triangle HIJ$, then corresponding sides are equal.

Step2: Identify corresponding sides

Assume $\overline{DE}$ corresponds to $\overline{IJ}$. Given $\overline{DE} = 1.25$ feet, so $\overline{IJ}=1.25$ feet.

Answer:

1.25 feet