In the above figure, line AD bisects the angle ∠BAC. In the above figure, AQ = QB, and AP = PB Properties related to Angles Property 1: Angle BisectorĪngle bisector is a line that bisects an angle. CD bisects AB in two equal halves (AD = BD).Įvery point on a perpendicular bisector is equidistant from both ends of the line.CD is perpendicular to AB (CD ⊥ AB) and.In the above figure, CD is perpendicular bisector of AB, that is: If a line (say CD) passes through the mid-point of a line segment (say AB) and is perpendicular to it, then the line is called the perpendicular bisector of the line segment. Properties of Lines Properties related to Perpendicular lines Property 1: Perpendicular Bisector ∠AVD and ∠BVC form the second pair of vertically opposite angles. ∠AVC and ∠BVD form the first pair of vertically opposite angles. For example, in the above figure there are two pairs of vertically opposite angles: Vertically opposite angles are always equal to each other. Here, the pair of angles having no common arm, are called vertically opposite angles. Vertically Opposite Angles - Consider the common vertex formed by the intersection of two lines. So, the sum of linear pair angles will be 180°. Linear Pair Angles - A pair of adjacent angles will form a linear pair, if their outer arms lie on one straight line. In the above figure, ∠AVB and ∠BVC are adjacent angles. Supplementary Angles - If the sum of two angles is 180°, then they are called supplementary angles.Īdjacent Angles - If two angles have a common vertex and a common arm (between two other arms), then they are called adjacent angles. There are some angle-pairs that you should be aware of.Ĭomplementary Angles - If the sum of two angles is 90°, then they are called complementary angles. Reflex Angle - An angle measuring more than 180°, but less than 360°.Ĭomplete Angle - An angle measuring exactly 360°. Straight Angle - An angle measuring exactly 180°. Obtuse Angle - An angle measuring more than 90°, but less than 180°. Right Angle - An angle measuring exactly 90°.Īs you can see, the arms of a right angle are perpendicular to each others. In the above figure, XY is a transversal line.Īccording to measurement of angle, we have the following types of angles.Īcute Angle - An angle measuring less than 90°. Transversal line - A line which cuts two or more given lines at different points. In the above figure, the lines AB and CD are perpendicular. Perpendicular lines - Two lines are perpendicular to each other, if they form an angle of 90° with each other. In the above figure, the lines AB and CD are parallel. Parallel lines - Two lines on a plane are parallel if they never meet, even if they are extended infinitely on either sides. Thereafter, we will have a look at their properties too. Now, let us first of all see the various types of lines and angles. Angles are often measured in degrees or radian.
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