Question

sketch the figure described. choose the correct answer below.
explain how to construct the figure accurately. what is the first step?
a. plot the points x, y, and z
b. draw \\(\overleftrightarrow{xy}\\) perpendicular to \\(\overleftrightarrow{yz}\\).
c. draw \\(\overleftrightarrow{xy}\\).
d. draw \\(\overleftrightarrow{xz}\\).

Explanation:

Analyze the geometric configuration

The figures show line \(\overleftrightarrow{XY}\) and a line perpendicular to it passing through point \(Z\). This perpendicular line is \(\overleftrightarrow{YZ}\) since the perpendicular intersection occurs at point \(Y\).

Determine the construction sequence

To construct a perpendicular line through a point on a line or to construct the figure containing line \(\overleftrightarrow{XY}\) and perpendicular line \(\overleftrightarrow{YZ}\), the base line must be established first. Therefore, the first step is to draw the initial line \(\overleftrightarrow{XY}\).

Answer:

• A. Plot the points X, Y, and Z
• B. Draw \(\overleftrightarrow{XY}\) perpendicular to \(\overleftrightarrow{YZ}\).
• C. Draw \(\overleftrightarrow{XY}\). (Correct answer)
• D. Draw \(\overleftrightarrow{XZ}\).