Honors Geometry

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Honors Geometry

• Lesson 2.3
• Segment and Angle Relationships

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What You Should LearnWhy You Should Learn It

• Goal 1 How to describe relationships between
  segments and angles
• Goal 2 How to use relationships between segments
  and angles to solve real-life problems
• Building a vocabulary in geometry helps you read
  and communicate ideas clearly. For instance, the
  correct use of geometric terms helps city
  architects communicate their designs to other
  people.

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Building Your Geometric Vocabulary

• Congruent

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Building Your Geometric Vocabulary

• Midpoint

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Building Your Geometric Vocabulary

• Segment Bisector

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Building Your Geometric Vocabulary

• Angle Bisector

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Building Your Geometric Vocabulary

• Perpendicular

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Definitions

• Definitions can always be interpreted forward
  and backward .
• If two segments have the same measure, then they
  are congruent
• If two segments are congruent, then they have
  the same measure

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Lesson Investigation
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Lesson Investigation

• Congruent

• Midpoint

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Lesson Investigation

• Angle Bisector

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Lesson Investigation

• Segment Bisector
• Perpendicular

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Distance Formula
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Using the Distance FormulaExample 1

• Let A (-2,5) and B (4,1). Find the midpoint,
  C, of Then use the Distance Formula to
  verify thatAC CB.

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Using the Distance Formula Solution Example 1
(1,3) AC CB
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Solving Real-Life problemsFinding Distance on a
City Map (Example 2)

• On the portion of the city map shown, centers of
  the streets are 340 ft. apart horizontally and
  480 ft. apart vertically. Find the walking
  distance between points A and B. How much
  shorter would the walking distance be if a
  diagonal street joined the two points?

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Finding Distance on a City Map Solution (Example
2)

• Walking Distance
• 170014403140 ft
• Diagonal Distance

3140 2228 912The diagonal distance would be
about 912 feet less.
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The End