Problem 3
Which property justifies the conclusion of the statement? If \(x+5=12,\) then \(x=7\)
Problem 4
What relationship, if any, exists between two angles a) with equal measures? b) that have the same vertex and a common side between them?
Problem 4
Use the fact that \(I\) foot \(=12\) inches. Convert 52 inches to a measure in feet and inches.
Problem 6
Use the fact that 1 meter \(\approx 3.28\) feet (measure is approximate). Convert 16.4 feet to meters.
Problem 9
Must two rays with a common endpoint be coplanar? Must three rays with a common endpoint be coplanar?
Problem 11
When can a theorem be cited as a "reason" for a proof?
Problem 13
Does the relation "is perpendicular to" have a reflexive property (consider line \(\ell\) )? a symmetric property (consider lines \(\ell\) and \(m\) )? a transitive property (consider lines \(\ell, m\) and \(n\) )?
Problem 13
For theorem stated make a Drawing. On the basis of your Drawing, write a Given and a Prove for the theorem. If two lines are perpendicular, then these lines meet to form a right angle.
Problem 15
Does the relation "is complementary to" for angles have a reflexive property (consider one angle)? a symmetric property (consider two angles)? a transitive property (consider three angles)?