Construct a perpendicular bisector. If you PRINT this page, any ads will not be printed.
Construct a perpendicular bisector 5. Foundation GCSE and Higher GCSE. Create and draw a perpendicular bisector and learn the definition in this video. Understanding how to construct and apply these bisectors is fundamental in fields In this sketch students will be shown the steps to create a perpendicular bisector. Use the Circle with Centre through Point tool to draw circles centred at B and C with radii BC. There are two types of bisectors based on what geometrical shape it bisects. The bisector of a segment always contains the midpoint of the segment. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts. How to construct a perpendicular bisector? Perpendicular Bisector Definition A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. This video will show you how to draw a Perpendicular Bisector of a line using your compass. Place your compass point on A and stretch the compass MORE THAN half way to point B (you may also stretch to point B). 'Bisect' is the term used to describe dividing equally. The following diagram shows the perpendicular bisector of the line segment AB. This construction clearly shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. The Construction of the Perpendicular Bisector is done with the help of a ruler, a compass, and a pencil. A perpendicular bisector cuts a line exactly in half and intersects it at a right angle. Perpendicular Bisector Here we will learn about perpendicular bisectors, including how to construct a perpendicular bisector of a line segment using a pencil, a ruler and compasses. Jan 11, 2023 · Learn how to construct a perpendicular bisector using simple tools. There are also constructions worksheets, which include perpendicular bisectors, based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. STEPS: 1. Here we will learn how to construct a perpendicular bisector of a line segment. We know we can verify the construction by folding an angle along the bisector. The bisector is perpendicular to (forms a right angle with) the segment it bisects. In this video I show how to construct a perpendicular bisector with a compass and straightedge and explain why the technique works. This method will show you the midpoint of a line and will also create a perpendicular line that will be Feb 2, 2023 · A perpendicular bisector is a line segment that meets another line segment perpendicularly and divides it into two equal-sized halves. Using the Intersect tool, mark where these 2 circles intersect. This video shows how to construct the perpendicular bisector of a line and how to attempt typical GCSE questions Construct a perpendicular bisector and plot a point Z on the bisector so that the distance between point Z and XY — is 3 centimeters. . Measure XZ — and YZ — . Bisector Definition The bisector is a line that divides a line or an angle into two equivalent parts. The steps for constructing an angle bisector from the previous lesson flow nicely into the steps for constructing a perpendicular bisector. Task: Bisect AB OR create a perpendicular bisector to OR create a perpendicular line through point C May 16, 2025 · Introduction A perpendicular bisector is a line that divides another line segment into two equal parts at a right angle. In this article, we will discuss what is perpendicular bisector, the equation for a perpendicular bisector, the construction of a perpendicular bisector, and the perpendicular bisector theorem in detail. Here you will learn how to construct a perpendicular bisector of line segment AB. A perpendicular bisector bisects a line segment from the middle or through the mid-point. make sure to use the measuring tool to ensure you not only have created a bisector but a perpendicular one as well. Constructing Perpendicular Bisectors – Explanation and Examples Constructing a perpendicular bisector with a compass and straightedge requires that we first find the center of a line segment and then construct a line perpendicular to that point. Study Constructing Perpendicular Bisectors in Geometry with concepts, examples, videos and solutions. With this length, swing a large arc that will go above and below . Access FREE Constructing Perpendicular Bisectors Interactive Worksheets! Aug 3, 2023 · Perpendicular bisector is the line segment that intersects another line perpendicularly (at right angle) and divides it into two equal parts. Using only the compass and straightedge. This construction will also establish that the bisector is perpendicular to the given line segment. If you PRINT this page, any ads will not be printed. Jul 23, 2025 · Perpendicular bisectors are often represented as a dashed line with a right angle symbol to indicate their perpendicular nature. In this section, we shall learn how to construct perpendicular lines using a ruler, set square and compass. The perpendicular bisector of a line segment is the line that is perpendicular to the line segment at its mid-point. This bisects the line segment (That is, dividing it into two equal parts) and also perpendicular to it. A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides. The idea is that they will do the steps digitally here and then repeat them physically with a ruler and a compass. In particular, this video highlights how students can use a compass and straightedge to construct the perpendicular bisector of a given line segment. I am a UK based Discussion In Lesson 3 we studied how to construct an angle bisector. The importance of specific language continues throughout the construction lessons. It works by creating a line segment on the given line, then bisecting it. A correct construction means that one half of the original angle will coincide exactly with the other half so that each point of one ray of the angle maps onto a corresponding point on the other ray of the angle. Nov 1, 2025 · A perpendicular bisector of a segment passes through the midpoint of the line segment and is perpendicular to the line segment. In Lesson 4, students learn to construct perpendicular bisectors and apply the construction to problems. Scroll down the page for examples and step-by-step solutions on how to construct a perpendicular bisector. Use the Distance Constructing Perpendicular Bisectors in Geometry In geometry, a perpendicular bisector is a line that cuts another line segment into two equal pieces. 2. Perpendicular BisectorConstruct a line perpendicular to CB. 3. Learn all about perpendicular bisectors in this free geometry lesson! The perpendicular bisector theorem is used in the construction of buildings, bridges, etc. , and in making designs where we need to build something in the center and at equal distance from the endpoints. This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. To explain why, I use concepts from triangle proofs such as the A perpendicular bisector splits a segment into two congruent segments at a 90° angle. Perpendicular bisector worksheet (includes construction between points and lines) Get your free constructing perpendicular lines worksheet of 20+ perpendicular bisector questions and answers. Without changing the span on the compass, place the compass point on B and swing the arc again How to construct a perpendicular bisector A bisector is a line which cuts another line exactly in half. Sal constructs a perpendicular bisector to a given line segment using compass and straightedge. Students continue to write precise instructions for constructions. If you need help you can select the boxes to show you the next step. Line Segment Bisector (Perpendicular Bisector Theorem) Angle Bisector (Triangle Bisector Theorem) Line Segment Bisector A line segment bisector How to construct a perpendicular bisector through a given point on a line. In this section, we will learn how to use a compass and straightedge to construct perpendicular bisectors and angle bisectors. This video shows how to draw the perpendicular bisector of a given line segment with compass and ruler. Feb 28, 2011 · Instructions on how to construct the perpendicular bisector of a segment with a compass and a straightedge. 1. We now extend this observation In this explainer, we will learn how to construct, using a ruler and a pair of compasses, the perpendicular to a given line from or at a given point and the perpendicular bisector of a line segment. Make your child a Math Thinker, the Cuemath way. A Euclidean construction. Constructing a perpendicular bisector through a point on a line. Use the Line tool to draw a line segment between these points of intersection. Nov 1, 2025 · Perpendicular lines are lines that intersect at right angles. In the realm of geometry, perpendicular bisectors not only serve as a critical tool for geometric constructions but also provide powerful insights into symmetry and equidistance properties. The perpendicular bisector of a line segment AB is a line that divides the line AB into two equal parts at a right angle. 4. Use the Intersect tool to mark where this new line intersects BC. Two lines are perpendicular when they intersect to form 90° with each other, while a bisector divides a line into two equal halves. A perpendicular bisector of a segment passes through the midpoint of the line segment is perpendicular to the line segment. See also the animated version. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. Constructing the perpendicular bisector of a line segment This is the step-by-step, printable version. What is a Perpendicular Bisector of a Triangle The perpendicular bisector of a side of a triangle is a segment, line, or This page shows how to construct a perpendicular to a line through an external point, using only a compass and straightedge or ruler. rpdvpgvbuosoqbcwbjwwcmbziiyjvixsxpoyueoxcofccmqvqkgbfpnfsqcicxofjyjkcvsrhcobq