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Properties of Lines and Angles Vocabulary A POINT indicates location. A POINT has no size. You name a POINT by a capital letter. A LINE is a series of points that extend in two opposite directions without end. You name a LINE by any two points on the LINE or a lowercase letter. A SEGMENT is part of a line with two endpoints and all the points in between. You name a SEGMENT by its endpoints. Vocabulary INTERSECTING lines have exactly one point in common. PARALLEL lines are lines that never intersect. PERPENDICULAR lines are lines that intersect to form a 90° angle. Real World Application When gymnasts or skateboarders do a move that rotates them in a complete circle around a point, how many degrees have they moved? How many degrees do they move if they only turn from one direction to the other (half of a circle)? Triangle Discovery Activity Instructions 1. 2. 3. 4. Your teacher will pass out triangles to you. Draw an arc in each corner. Tear off each angle – watch teacher for instructions. Match up angles so that the small arc create a large arc. What did you learn about the relationship between a straight line and the interior angles of a triangle? A plain old triangle A straight line! 180° Classifying Angles Review Measure Between 0° and 90° 90° Greater than 90° but less than 180° 180° Name Picture Vocabulary SUPPLEMENTARY angles are two angles whose sum is 180°. Vocabulary COMPLEMENTARY angles are two angles whose sum is 90°. Vocabulary ADJACENT angles are angles that share a common vertex and side. Vocabulary VERTICAL angles are formed by two intersecting lines. They are OPPOSITE each other. The measures of vertical angles are EQUAL. Practice Problem A Color the vertical angles. Each set should be a different color. (You will need four colors) Practice Problem B Color the pairs of supplementary angles. Each set should be a different color. (You will need eight colors.) Practice Problem C Color the pairs of complementary angles. Each set should be a different color. (You will need two colors.) 10 9 Homework Assignment… Vocabulary CONGRUENT angles are angles with equal measures. Figure B shows parallel lines m and n. When a line q intersects two lines q is called a TRANSVERSAL. The lines do not have to be parallel, but if they are, we know special properties about the angles that are formed. Practice Problem D Color the alternate exterior angles. Each set should be a different color. (You will need two colors) Practice Problem E Color the alternate interior angles. Each set should be a different color. (You will need two colors) Practice Problem F Color the corresponding angles. Each set should be a different color. (You will need four colors)