Chapter 3: Q13 (page 96)

What is wrong with each of the following instructions?
13. Draw the line from P perpendicular to $\bar{J E}$ at its midpoint.

Short Answer

Expert verified

The wrong statement in the given instruction is that the line from P perpendicular to $J E$ is passing through the midpoint of $J E$ . The line from P perpendicular to $J E$ will pass through the midpoint of $J E$ if the triangle $Δ P J E$ is an isosceles or equilateral.

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Draw the diagram depicting the given situation.

The diagram depicting the given situation is:

Consider N is the point where the perpendicular from the point P meets JE and M is the midpoint of .

It can be noticed that the points N and M are different.

That implies the perpendicular from the point P to JE is not passing through the midpoint of JE.

Step 3. Description of step.

The perpendicular from the point P to JE will pass through the midpoint of JE if the triangle $Δ P J E$ is an isosceles or equilateral triangle.

The wrong statement in the given instruction is that the line from P perpendicular to $\bar{J E}$ is passing through the midpoint of $\bar{J E}$ . The line from P perpendicular to $\bar{J E}$ will pass through the midpoint of $\bar{J E}$ if the triangle $Δ P J E$ is an isosceles or equilateral.