Q17. - 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.

 

$T$ is between $H$ and $M$.

Step-by-Step Solution

Answer

The statement “$T$ is between $H$ and $M$” is false.

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

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

Step 3. Step description.

From the figure, the point $M$ is the midpoint of the segment $\overline{HL}$.

 

Thus, the point $T$ is not lying between $M$ and $H$.

 

Therefore, the statement is false.

 

Therefore, the statement “$T$ is between $M$ and $H$” is false.