Geometry · Chapter 1 · Lesson 1.8 · Printable PDF · Free

Deductive Reasoning Worksheet with Answer Key

7 problems on deductive reasoning: the laws of detachment and syllogism, checking arguments, ordering the steps of a proof, and proving facts about segments, angles and triangles. 3 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems3 pagesanswer keylesson handout
Printable Deductive reasoning worksheet with answer key - Geometry (Page 1 PDF preview)
Page 1 of 3

What's on the worksheet

  1. Write the conclusion that follows from each set of statements and name the law used.
  2. Work with rays and angles in order around a point to reach a conclusion.
  3. Decide whether each argument is valid and whether its conclusion is certain.
  4. Put the seven statements of a proof about a right angle in order.
  5. Find AN from AB with midpoints, then prove a formula that holds for any segment.
  6. Prove all four angles at crossing lines are equal, starting from one pair.
  7. Use the angle sum theorem to prove a fact about angle bisectors in a triangle.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Deductive reasoning: the lesson ›