Geometry · Chapter 1 · Lesson 1.10 · Printable PDF · Free

Conditionals, Converse, Inverse, Contrapositive Worksheet with Answer Key

6 problems on conditionals and their converse, inverse and contrapositive: writing if-then statements, finding mistakes, checking truth by cases, and proving a contrapositive. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

6 problems2 pagesanswer keylesson handout
Printable Conditionals, converse, inverse, contrapositive worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Write a climbing gym rule as an if-then statement and decide when a climber keeps or breaks it.
  2. Decide whether sentences about an angle mean P implies Q or Q implies P, and find a counterexample.
  3. Find each student's mistake in a contrapositive and write the correct one.
  4. Test a statement and its converse for whole numbers 1 to 8 using even numbers and square areas.
  5. Show a statement about points on a line is true, then write and test its converse.
  6. Write the contrapositive of a claim about rectangle perimeter and prove it.

Teach it first

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

Conditionals, converse, inverse, contrapositive: the lesson ›