Geometry 2-4 Mixed Review: Deductive Reasoning

By Matt Richardson
Last updated about 3 years ago
6 Questions

Review Lesson 2-3: Write the following definition as a biconditional:

Inductive reasoning is reasoning based on patterns you observe.

Review Lessons 1-4 and 1-5: Use the figure below to respond to the prompts in the right column with items from the left.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • acute
  • \angle{COB}
  • \angle{BOC}
  • \angle{AOB}
  • \angle{AOC}
  • \angle{O}
  • \angle{BOA}
  • \overrightarrow{OB}
  • obtuse
  • Name ∠1 in two other ways.
  • Name ∠2 in two other ways.
  • If ∠1 ≅ ∠2, name the bisector of ∠AOC.
  • Classify ∠AOC. (acute or obtuse)

Vocabulary Review: Write the converse of the conditional.

If I am thirsty, then I drink water.

Vocabulary Review: Write the inverse of the conditional.

If I am thirsty, then I drink water.

Vocabulary Review: Write the contrapositive of the conditional.

If I am thirsty, then I drink water.

Use Your Vocabulary: Complete each statement on the right with a word from the left.

  • deduction
  • deductive
  • deduce
  • You use __?__ reasoning to draw a conclusion based on facts.
  • The conclusion of your reasoning is a __?__.
  • The teacher will not __?__ that a dog ate your homework.