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Geometry Vocabulary Introduction to Classifying Angles Line • a straight path that connects two points, but extends past both points, forever. • to identify a line, select two points, and draw the symbol of a line over it. A line ALWAYS has arrows at both ends. AB Segment • two points and all the points in a straight path between them • to identify a segment, select two endpoints, and draw the symbol of a segment over it. A segment DOES NOT have arrows at the ends. EF Ray • an endpoint and all the points in a straight path in one direction • to identify a ray, start with an endpoint, then use another point in the direction you want. For example, point G going to point B would be: GB Vertex • the common endpoint of an angle. • (also, a corner point of a geometric figure) How do you recognize a vertex? Angle • two rays with a common endpoint. How do you name an angle? Right Angle • an angle that measures exactly 90° How do you identify a right angle? Acute Angle • an angle that measures less than 90° What does it look like? Straight Angle • an angle that measures exactly 180° What does it look like? Obtuse Angle • an angle that measures more than 90°, AND less than 180° What two angles is an obtuse angle between? Adjacent Angles • two angles that share a common vertex, and one side, but have no common interior points. How would you draw adjacent angles? Vertical Angles • when 2 lines intersect, they form 4 angles. The angles across from each other are called, ‘vertical angles.’ What do vertical angles look like? Complementary Angles • the sum of their measures equals 90° What kind of angle do complementary angles form? Supplementary Angles • the sum of their measures equals 180° What kind of angle do supplementary angles form? Triangles & more vocabulary Triangle • a polygon with three sides. • The sum of the 3 angles equals exactly 180°. Congruent • being exactly equal in size and shape. What can be congruent? sides angles polygon Scalene Triangle • has NO congruent sides. Isosceles Triangle • has at least TWO congruent sides. Equilateral Triangle • has THREE congruent sides. • Question: If the three sides are congruent, what do you think each angle measure will be? 60° Right Triangle • a triangle with a right angle If one angle is 90°, what must be the sum of the other two angles? Acute Triangle • a triangle with ALL three angles being acute angles. Obtuse Triangle • A triangle with one obtuse angle. If a triangle is obtuse, what type of angles must the other two angles be?