Intro To Angles

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Intro To Angles
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Do You Know?

• Complementary angles
• Supplementary Angles
• Reflex Angles
• Opposite angles
• Adjacent Angles
• Bisect
• Congruent
• Symmetry

• Vertex
• Protractor
• Rays
• Degrees
• Acute angle
• Obtuse angle
• Right angle
• Straight angle

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Complementary Angles
The two angles must measure 900
The missing angle measure is 300
600
A
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Complementary Angles
The two angles must total 900
The missing angle measure is 500
400
A
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Complementary Angles
The missing angle measure is 680
The two angles must total 900
A
220
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Supplementary Angles
The two angles must total 1800
The missing angle measure is 1300
500
A
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Supplementary Angles
The missing angle measure is 950
The two angles must total 1800
850
A
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The two angles must total 1800
The missing angle measure is 1100
700
A
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Are These Angles Complementary?
Are they adjacent angles?
230
670
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Are These Angles Complementary?
670
Are they adjacent angles?
230
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Are These Angles Adjacent?
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2
1
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Words You Should Know

• Congruent Figures are figures that have the same
  shape and size.
• Example
• Symmetry is a line of reflection that divides a
  shape into two equal parts.
• Example

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Adjacent Angles

• Adjacent angles share a common vertex, a common
  ray, and the interior of one does not overlap the
  interior of the other.

lt a is adjacent to lt b
a
b
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Bisect

• Bisect means to divide any figure into two equal
  parts.
• Example

300
300
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Survivors

• The class has been stranded on a island.
• To survive you must find a way for all group
  members to leave the island.
• Your only tools are a survival kit provided by
  your teacher.

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How To Get Off

• The only way off the island it to follow the path
  created by a bisected right angle.
• The only problem is, for each group member, the
  path must be created in a different way.
• When you create a path off the Island write an
  explanation that explains the path.
• Make sure all group member understand and agree
  that this method will actually work.
• If all group members get off the island there
  will be a reward waiting.
• Work together and GOOD LUCK!

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Creating Angle Bisectors Assignment

• For homework construct and bisect right angles.
  Each angle must be bisected using a different
  method. Write an paragraph for each angle
  identifying the tool(s) used and explaining how
  it was bisected.
• This assignment will be marked for points
• Neatness and organization is a must
• No more that 3 methods per page
• C 6 B 8 A 10

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Example
The tool I use to bisect this angle was a
protractor. I bisected the angle by placing the
protractor on the vertex and along one ray. I
followed the inside measure from 00 to 450 , made
a made and then connected this mark back to the
vertex of the angle.
450
450