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Geometry. Line. Never ending (NO NOTES) ↔. Line Segment. Has two endpoints (NO NOTES) ●▬●. Point. A place on a line (NO NOTES) ●. Plane. An area with geometric figures Also called a coordinate plane. Ray. Consist of an endpoint and a line Used to create angles →. Angle.

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## Geometry

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**Line**• Never ending • (NO NOTES) • ↔**Line Segment**• Has two endpoints • (NO NOTES) • ●▬●**Point**• A place on a line • (NO NOTES) • ●**Plane**• An area with geometric figures • Also called a coordinate plane**Ray**• Consist of an endpoint and a line • Used to create angles • →**Angle**• Consist of two rays that meet at a vertex • (NO NOTES) • ∟**Vertex**• The point that two rays have in common • Used to form angles and polygons**Acute**• An angle less than 90 degrees • Used to classify angles and triangles**Right**• An angle that measures exactly 90 degrees • Used to classify angles and triangles**Obtuse**• An angle that measures greater than 90 degrees but less than 180 degrees • Used to classify angles and triangles**Triangle**• Consist of three angles that when added equals 180 degrees • A= 45, B = 45, C = 90 A + B + C = 180 45 + 45 + 90 = 180 180 = 180**Quadrilateral**• Is made of four segments that intersect only at their endpoints • Has four vertices that when added equals 360 degrees**Congruent Segments**• Have equal lengths • Used to classify polygons**Congruent Angles**• Have equal measures • Used to classify polygons**Straight Angle**• An angle that measures exactly 180 degrees • A straight line**Reflex Angle**• An angle that measures more than 180 degrees but less than 360 degrees • Pay attention to notation (angle symbol)**Complementary Angles**• Two angles that add up to 90 degrees • Calculate by subtracting the given angle from 90**Supplementary Angles**• Two angles that add up to 180 degrees • Calculate by subtracting the given angle from 180**Vertical Angles**• Angles opposite each other when two straight lines cross • (NO NOTES)**Perpendicular Lines**• When two lines meet or cross at a right angle • (NO NOTES)**Parallel Lines**• Lines that run side by side and never cross • (NO NOTES)**Transversal Line**• A third line that crosses two parallel lines • (NO NOTES)**Equilateral Triangle**• Has three equal sides and three equal 60 degree angles • (NO NOTES)**Isosceles Triangle**• Has two equal sides and two equal angles called base angles, the third angle is called the vertex angle • (NO NOTES)**Scalene Triangle**• Has no equal sides and no equal angles • (NO NOTES)**Right Triangle**• An isosceles or scalene triangle that has a 90 degree angle • (NO NOTES)**Similar Triangles**• Have the same shape but not necessarily the same size • Differ only in the lengths of their sides • All angles are equal**Corresponding Sides**• Sides or angles that have the same relative position • The sides that are opposite the equal angles • The corresponding sides can be written as a proportion**Square**• Of a number, is that number multiplied by itself • 6 is the base and 2 is the exponent • 6 is called the factor • 6 x 6 = 36 • 62**Perfect Square**• Numbers that have whole numbers as their square roots • (NO NOTES) • Example: 152 = 225**Square Roots**• Symbol √ (radical) • Think: What number times itself equals this number? • Example √25 = 5**Hypotenuse**• In a right triangle the side opposite the right angle • (NO NOTES)**Pythagorean Theorem**• Relationship between the hypotenuse and the two shorter sides • Formula – c2 = a2 + b2**Circle**• Figure with all points the same distance from the center • Equals 360 degrees**Radius**• From the center of the circle to the side • Symbol – r • Equals ½ of the diameter**Diameter**• Distance across the circle, from side to side going through the center • Symbol – d • Equals two times the radius**Circumference**• The distance around the circle • Formulas • Radius – C = 2∏r • Diameter – C = ∏d**Pi**• Greek letter • ∏ • Approximate value is 3.14 or 22/7**Area**• Measure of surface, measured in square units • Formulas • Rectangle – A=lw • Square – A =s2 • Triangle – A = 1/2bh • Circle – A = ∏r2 • A = lw • A=6 * 10 • A = 60 squared units**Volume**• Measure of the space taken by a solid object • measured in volume units (cubic) • most common shape is the rectangular solid • Formulas • Rectangular solid V= lwh • Cylinder V = ∏r2h • Example • l=4, h = 2, w= 1 • V=lwh • V=4*2*1 • V=8 cubic inches**Perimeter**• Distance around a shape • Formula • Square -- P = 4s • Rectangle -- P = 2l + 2w • Triangle –- P = s + s + s • Example • P=4s • P=4*4 • P=16 inches

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