Geometry Review

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Geometry Review

• Inductive and Deductive Reasoning

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• Continue the pattern.
• 5, 3, 6, 4, 7, ______, _______

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• Inductive reasoning is based on
  __________________.

A. Educated Guesses B. Facts/Logic C.
Patterns/Observations
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3. Deductive reasoning is based on
____________________.
A. Educated Guesses B. Facts/Logic C.
Patterns/Observations
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4. A counterexample shows that a conjecture is
_____________.
A. True B. False
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5. The if part of a conditional statement is
the ___________.

• A. Conclusion
• Converse
• Hypothesis

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6. The then part of a conditional statement is
the ______________________.

• A. Conclusion
• Converse
• Hypothesis

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• Name the hypothesis and the conclusion of the
  following conditional statement. Circle the
  hypothesis and underline the conclusion.
• If the angles are vertical angles, then the
  angles are congruent.

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8. Complete the Law of Detachment If p ? q is a
true statement and p is true, then q is ________.
TRUE
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8. Given If a person lives in Dallas, then
the person lives in Texas. Jason lives in
Dallas. Conjecture Jason lives in
Louisiana. Is the conjecture valid, or
invalid? _______________________________
Invalid
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9. Complete the Law of Syllogism If p ? q and q
? r are true statements, then p ? r is a
_____________ statement. Given If the milk is
left out of the refrigerator, then the milk
spoils. If the milk spoils, then I will have to
buy a new container of milk. Determine whether
the conjecture is valid, or invalid by the
Law of Syllogism. Conjecture If the milk is
left out of the refrigerator, then I will have to
buy a new container of milk. Tell whether the
conjecture is valid or invalid.
______________________________
TRUE
Valid
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10. Two lines that intersect form
_______________angles.

• A. Complementary
• Supplementary
• Vertical

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Complementary vs Supplementary
How can you remember which is which? Easy! Think
"C" of Complementary stands for "Corner"
(a Right Angle), and
"S" of Supplementary stands for "Straight" (180
degrees is a straight line)
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11. Two angles are _________ if they add up to
90.

• A. Complementary
• Supplementary
• Vertical

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• Two angles are ___________
• if they add up to 180.

• A. Complementary
• Supplementary
• Vertical

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1. A straight angle is _______ degrees.

• A. 90
• 180
• 360

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• Study the properties of equality and properties
  of congruence. Be able to identify them. Use
  your notes handed out in class.
• Examples on next slide.

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• RT RT _________________ property of
• equality
• Symmetric
• Transitive
• Reflexive

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• 2x 8, then x 4 _______ property of equality
• A. Subtraction
• Addition
• Division

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• If a b, and b c, then a c. _________
  property of equality
• Symmetric
• Transitive
• C. Substitution

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Use Exercise 25 for more practice naming
properties of equality and properties of
congruence.