Lets calculate the midpoint of the line which is the average of the x and y co-ordinates. We need to calculate the midpoints of the line PQ, which is F, and the slope to find the equation of the perpendicular bisector. Lets find perpendicular bisector equation with points P(3,4), Q(6,6).Ĭonsider the co-ordinates of the points P and Q to be x1,y1 and x2,y2 respectively. The diagonals of a rhombus are the perpendicular bisector of the rhombus as those diagonals are always perpendicular to each other dividing the sides of the rhombus into two equal parts. If a line is perpendicular to a chord of a circle and passes through the midpoint of that circle, it will be the perpendicular bisector of a circle. If a line is perpendicular to the side of a triangle and crossing it through the midpoint, it will be the perpendicular bisector of a triangle. Use the perpendicular line calculator to calculate the perpendicular bisector equation. If a line is perpendicular to another line and dividing into two equal parts, it will be a perpendicular bisector of a line segment. Constructing a perpendicular bisector could be convenient if you know how to use a compass? The perpendicular bisector equation can be effortlessly calculated using the perpendicular bisector calculator. It is a line, ray, or segment which cuts another line segment into two equal parts at 90 degrees. Perpendicular Bisector is the division of something into two equal or congruent parts. What is perpendicular? What is a perpendicular bisector? How to find a perpendicular line? These are the questions we are going to answer in this space. Perpendicular line equation calculator used to find the equation of perpendicular bisector. We will review the ten postulates that we have learned so far, and add a few more problems dealing with perpendicular lines, planes, and perpendicular bisectors.The bisector can either cross the line segment it bisects, or can be a line segment or ray that ends at the line. Moreover, we will detail the process for coming up with reasons for our conclusions using known postulates. Whenever you see “con” that means you switch! It’s like being a con-artist! In the video below we will look at several harder examples of how to form a proper statement, converse, inverse, and contrapositive. ExampleĬontinuing with our initial condition, “If today is Wednesday, then yesterday was Tuesday.”īiconditional: “Today is Wednesday if and only if yesterday was Tuesday.” In other words the conditional statement and converse are both true. ExampleĬontrapositive: “If yesterday was not Tuesday, then today is not Wednesday” What is a Biconditional Statement?Ī statement written in “if and only if” form combines a reversible statement and its true converse. Inverse: “If today is not Wednesday, then yesterday was not Tuesday.” What is a Contrapositive?Īnd the contrapositive is formed by interchanging the hypothesis and conclusion and then negating both. So using our current conditional statement, “If today is Wednesday, then yesterday was Tuesday”. Now the inverse of an If-Then statement is found by negating (making negative) both the hypothesis and conclusion of the conditional statement. So the converse is found by rearranging the hypothesis and conclusion, as Math Planet accurately states.Ĭonverse: “If yesterday was Tuesday, then today is Wednesday.” What is the Inverse of a Statement? Hypothesis: “If today is Wednesday” so our conclusion must follow “Then yesterday was Tuesday.” ExampleĬonditional Statement: “If today is Wednesday, then yesterday was Tuesday.” Well, the converse is when we switch or interchange our hypothesis and conclusion. This is why we form the converse, inverse, and contrapositive of our conditional statements. Therefore, we sometimes use Venn Diagrams to visually represent our findings and aid us in creating conditional statements.īut to verify statements are correct, we take a deeper look at our if-then statements. Sometimes a picture helps form our hypothesis or conclusion. In fact, conditional statements are nothing more than “If-Then” statements! To better understand deductive reasoning, we must first learn about conditional statements.Ī conditional statement has two parts: hypothesis ( if) and conclusion ( then). Here we go! What are Conditional Statements? In addition, this lesson will prepare you for deductive reasoning and two column proofs later on. We’re going to walk through several examples to ensure you know what you’re doing. Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)
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