Q6. - Geometry

Question

Describe how you would construct each of the following:

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

Step-by-Step Solution

Answer

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

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.

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