Question

Describe how you would construct each of the following:

The perpendicular to $\overline{BC}$at $C$.

Short answer

The construction of perpendicular to$\overline{BC}$is described.

Step-by-step solution

Step 1. Given information.   

The given statement is “perpendicular to$\overline{BC}$at$C$”.

Step 2. Concept used.

A perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line.

Step 3. Construction.

The procedure to construct perpendicular to $\overline{BC}$:

• Consider the line segment$\overline{BC}$.and extend it.

• Using $C$as centre draw two arcs of same radii that intersects the line $\overline{BC}$at two

Points$X \&Y$.

• With $X \&Y$as centers and suitable radius draw two arcs that intersect at point$Z$.

• Draw the line$\overline{CZ}$.

• The line $\overline{CZ}$is perpendicular to$\overline{BC}$.

The construction is shown below.

Therefore, The construction of perpendicular to $\overline{BC}$is described.