Converse Statements and Proofs
  • 1. If you know that corresponding angles are congruent, the lines they're on must be parallel by the...
A) corresponding angles theorem
B) converse of the corresponding angles theorem
C) alternate interior angles theorem
D) converse of the alternate interior angles theorem
  • 2. If you know that two lines are parallel, then their alternate interior angles must be congruent by the...
A) corresponding angles theorem
B) alternate interior angles theorem
C) converse of the corresponding angles theorem
D) converse of the alternate interior angles theorem
  • 3. If you know that two lines are parallel, then their corresponding angles must be congruent by the...
A) converse of the alternate interior angles theorem
B) alternate interior angles theorem
C) corresponding angles theorem
D) converse of the corresponding angles theorem
  • 4. The transitive property states...
A) if a=b and b=c, then a=c.
B) segment AB is congruent to segment BA
C) any side or angle is congruent to itself.
D) angle A is congruent to angle A
  • 5. What is the converse of the statement: "If the triangle is equilateral, then the triangle has 60 degree angles?"
  • 6. Is this conditional statement valid? "If a shape has four sides, then it is a quadrilateral"
A) Not valid
B) Valid
  • 7. Is this conditional statement valid? "If a polygon has four right angles, then the polygon is a square"
A) Not valid
B) Valid
  • 8. Is the CONVERSE of the following statement valid? "If the interior angle sum of a polygon is 180 degrees, then the polygon is a triangle"
A) Not valid
B) Valid
  • 9. What is the converse of the conditional statement: "If I don't eat breakfast, then I'm hangry until lunch?"
A) If I'm hangry until dinner, then I didn't eat lunch
B) If I'm not hangry until lunch, then I ate breakfast
C) If I'm hangry until lunch, then I didn't eat breakfast
D) If I don't eat lunch, then I'm hangry until dinner
  • 10. If you know that m<ABC = m<DEF and m<HJK = m<ABC, then m<DEF = m<HJK by the...
A) transitive property
B) corresponding angles theorem
C) symmetric property
D) reflexive property
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