Q15. - Geometry

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. 

 $HM+ML=HL$

Step-by-Step Solution

Answer

The statement “$HM+ML=HL$” is true.

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.