Frequent question: What do you need to draw first when you use geometric construction to draw parallel lines?

What is a necessary step for constructing parallel lines?

The first step in constructing parallel lines is to draw a transversal through the given point to intersect the given line. Last, duplicate an angle created by the transversal and the given line.

Which step should be done first when you construct line parallel to line using a compass and straightedge?

Construct a Parallel Line through a Point



Start by using your straightedge to draw a line through the point P that intersects the original line at point Q. This will become the transversal after you have constructed the parallel line. Now copy one of the four angles created at the intersection of the two lines.

What is the measure of the angle formed by perpendicular lines?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

When bisecting an angle the straightedge should be used to?

Use your straightedge to draw a line connecting the two intersection points P and Q. This line bisects the given line segment AB, and is called the bisector or, more accurately, the perpendicular bisector of AB.

What are the steps in constructing perpendicular and parallel lines?

Constructing perpendicular and parallel lines

1. Step 1: Draw a perpendicular line between A and XY. …
2. Step 2: Measure the perpendicular distance between the point and the line. …
3. Step 3: Draw a point that is the same distance from the line. …
4. Step 4: Draw the parallel line.

What is a necessary step for constructing parallel lines quizlet?

What is a necessary step for constructing parallel lines? Draw a line that intersects the first line using a straightedge. Which of the following is a defined term?

What is a necessary step for constructing perpendicular lines through a point on the line?

Thus, to draw a perpendicular line, you need to draw a 90-degree angle. Connect the given point with the 90-degree mark. Use the straightedge of the protractor to ensure that the line is straight. This line is perpendicular to the original line, through the given point on the line.

When constructing parallel lines with a compass and straightedge how should you start construction?

When constructing an inscribed polygon with a compass and straightedge, how should you start the construction? Place a point on your paper and then use a compass to construct a circle.

When constructing a parallel line what angle pair have you drawn?

Proof. This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse – by creating two equal corresponding angles, it can create the parallel lines.