Question

In the following diagram$\overline{HL}$ and$\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

$HM+ML=HL$

Short answer

The statement “$HM+ML=HL$”is true.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

Here,$\overline{HL}$ and$\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$.

Step 3. Step description.

Here Simplify the statement as follows:

$$\begin{gathered} HM+ML=HL \\ HML=HL \\ HL=HL \end{gathered}$$

Therefore, the statement is true.

Therefore, the statement “$HM+ML=HL$” is true.