1st Quarter Review Geometry

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1st Quarter Review

• Benchmark on Monday October 10, 2016

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Definition of Supplementary Angles
If a 125 Then b ? So if b 55 and I locate a
point C some where on the left. What is the range
of possible values? 0 lt C lt 55
C
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Segment Addition

• V W
  X Y
  Z
• VZ 100
• VW YZ
• WX XZ
• Y is the midpoint of XZ
• Find WX
• Let each tic mark be x
• Then WX would be 2x
• So x x x 2x 100, 5x 100 and x 20
• Since WX is 2, WX 40

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Angle Addition
/AED is a right angle m/AEC 52 and m/BED is
62 Find m/BEC First find m/CED by subtracting 62
from 90 to get 38 Then subtract 38 from 62 to get
24, the m/BEC
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Venn Diagrams
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Law of Syllogism
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Converse of a Conditional Statement

• If the month is November, then we will get to
  celebrate Thanksgiving.
• If we are celebrating Thanksgiving, then it must
  be November.
• Also
• If p then q, the converse is if q then p.

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Contrapositive of a Conditional Statment

• If the sum of the digits of a number is divisible
  by 3, then the number is divisible by 3.
• Example 363 3 6 3 12 12 is divisible
  by so 363 is divisible by 3 363/3 121
• The contrapositive would be
• If a number is NOT divisible by 3, then the sum
  of digits is NOT divisible 3.

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Perpendicular Lines and Angle Bisector
The given information lets us know m/AGE 90
m/EGC 90 m/FGD 90 m/BGD 90 Since m/BGC
28, you can find m/CGD by subtracting 90 28
72 That means m/EGD 90 72 28 Segment GH
bisects angle EGD, so m/EGH 14
28?
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Complementary Angles
If angle LKJ and angle GHI are complementary. What
is the measure of angle LKJ in terms of x? 90
x
?