Plane Geometry
Mathematics, Grade 8
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7 days 1 week (wk) You multiply integers just as you do whole numbers, except that you determine the sign of the product using these rules. • Parallel lines are two lines that are always the same distance apart and will never intersect. • Perpendicular lines are lines that meet at right angles (90º). • A transversal line is a line that crosses at least two other lines. Angles marked in green are congruent to each other. Angles marked in blue are congruent to each other. • Any angle marked in green is supplementary to any angle marked in blue. Points, Lines & Planes Angles Parallel & Perpendicular Lines Polygons Triangles Two Parallel Lines Intersected by a Transversal right angle D G H E F I A plane is a two- dimensional surface that extends infinitely in all directions. A right angle forms a square corner and measures 90º. Complementary angles are angles whose sum is 90º. Supplementary angles are angles whose sum is 180º. A triangle is a three-sided polygon. Types of triangles include acute, right, obtuse, equilateral, isosceles and scalene. A polygon is a closed plane figure with three or more sides and angles. An acute angle measures less than 90º. An obtuse angle measures greater than 90º. A ray is part of a line with one endpoint and goes on forever in the other direction. A line segment is part of a line between two endpoints. A line is a straight collection of points that extend in two opposite directions without end. A point is a location in space. AB CD • point A • point B AB CD AB CD A B D C A B D A B C A B D C Line Segment Line Ray Plane Point Plane m or Plane ABC m C A B 90º m AED + CEB = 90º m AED + DEB = 180º 55º 35º A E D C B º + mº + nº = 90º º mº m n t nº Number of sides ( n ) Sum of angle measures 180º ( n – 2 ) Polygon Quadrilateral Triangle 180º 3 4 5 6 7 8 360º 540º 720º 900º 1080º Pentagon Hexagon Heptagon Octagon rhombus nº nº nº nº hexagon (6 congruent angles) nº nº nº nº nº nº n = 120º 6nº = 720º 6nº = 180º (4) 6nº = 180º (6 – 2) = 6nº 6 6 720º 120º 120º 60º 60º 120º 120º 60º 60º m n © Copyright NewPath Learning. All Rights Reserved. 93-4804 www.newpathlearning.com Plane Geometry
\|xiBAHBDy01681mzV • Parallel lines are _____________ ______________________________ ______________________________. • Perpendicular lines are _______ ______________________________ ______________________________. • A transversal line is a ______________________________ ______________________________. Points, Lines & Planes Angles Parallel & Perpendicular Lines Polygons Triangles Two Parallel Lines Intersected by a Transversal D G H E F I A plane is a two- dimensional surface that extends infinitely in all directions. Complementary angles are angles whose sum is . Supplementary angles are angles whose sum is . A triangle is __________ ______________________. Types of triangles include _______________ _______________________ __________________ ______________. A polygon is a closed plane figure with three or more sides and angles. A ray is part of a line with one endpoint and goes on forever in the other direction. A line segment is part of a line between two endpoints. A line is a straight collection of points that extend in two opposite directions without end. A point is a location in space. Line Segment Line Ray Plane Point 90º m AED + CEB = m AED + DEB = 35º A E D C B º + mº + nº = 90º m n t º mº nº Number of sides ( n ) Sum of angle measures 180º ( n – 2 ) Polygon Quadrilateral Triangle Pentagon Hexagon Heptagon Octagon nº nº nº nº nº nº nº nº nº nº n = m n Key Vocabulary Terms • acute angle • complementary angle • congruent • line • line segment • obtuse angle • parallel lines • perpendicular lines • plane • point • polygon • ray • right angle • supplementary angle • transversal Find the measure of angle n. Draw a point. Draw a line. Draw a line sement. Draw a ray. Draw a plane. 120º 60º 120º 60º ___º ___º ___º ___º ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ © Copyright NewPath Learning. All Rights Reserved. 93-4804 www.newpathlearning.com Plane Geometry
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