Bell Work The length of segment AB is 5 ⅙ cm and the length of segment BC is 9 ⅕ cm. What is the...
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Transcript of Bell Work The length of segment AB is 5 ⅙ cm and the length of segment BC is 9 ⅕ cm. What is the...
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Bell WorkThe length of segment AB
is 5 ⅙ cm and the length of segment BC is 9 ⅕ cm.
What is the length of segment AC?
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Bell Work Answer5 ⅙ + 9 ⅕ =
5 5/30 + 9 6/30= 14 11/30
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LESSON 2
:
ANGLES, P
OLYGONS,
TRIA
NGLES A
ND
QUADRILATE
RALS
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If two lines cross we say that they intersect. The place where the lines intersect is called the point of intersection.
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Two lines in the same plane either intersect or do not intersect. If two lines in the same plane do not intersect, we say that the lines are parallel.
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If two lines make square corners at the point of intersection we say that the lines are perpendicular. The angles made by the perpendicular lines are called right angles.
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Two right angles form a straight angle.
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Acute Angle*An angle smaller than a right angle.
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Obtuse Angle*An angle greater than a right angle but less than a straight angle.
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If a right angle is divided into 90 parts, we say that each part has a measure of 1 degree. Thus, a right angle has a measure of 90 degrees which can also be written as 90°.
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Two right angle form a straight angle. Thus, a straight angle has a measure of what?
What would 4 right angles have a measure of?
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Polygon*:A special kind of geometric figure with more than one angle.
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Examples of non-polygons
Line segments cannot cross. Polygons have to be closed. Circles are not polygons.
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Polygon Examples:
Triangle3 sides3 vertices
Quadrilateral4 sides4 vertices
Pentagon5 sides5 vertices
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Polygon Examples
Hexagon6 sides6 vertices
Heptagon7 sides7 vertices
Octagon8 sides8 vertices
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Polygon Examples
Nonagon
Decagon
Undecagon
Dodecagon
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Concave*:When a polygon has an indentation or a cave.
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Convex*:Any polygon that does not have an indentation.
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If all the sides of a polygon have the same length, the polygon is called equilateral.
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If all the angles of a polygon have the same measure, the polygon is called equiangular.
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If all the sides have the same length and all the angles have the same measure then the polygon is called regular.
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A regular triangle is called equilateral.
What would a regular quadrilateral be called?
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Triangles:Contain 3 sides and 3 angles. The sum of the measures of the three angles will always add up to 180 degree.
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If a triangle has a right angle, the triangle is a right triangle.
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If all angles have a measure less than 90 degrees, the triangle is acute.
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If one angle is greater than 90 degrees, the triangle is obtuse.
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An equiangular triangle is when all the angles are equal. If a triangle’s angles always add up to 180°, then what is the measure of each angle?
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How are each of these triangles classified?
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PRACTICE:
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Matching:Parallelogram, trapezoid, rectangle, rhombus, square
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Practice:A, B and C on Page 8
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HW: Lesson 2 #1-30