91Ó°ÊÓ

State the hypothesis and the conclusion of each statement. If two chords of a circle have equal lengths, then the arcs of the chords are congruent.

Make a Drawing. On the basis of your Drawing, write a Given and a Prove for the theorem. If two angles are complementary to the same angle, then these angles are congruent.

Consider rectangle \(M N P Q .\) Can it also be named rectangle \(P Q M N ?\) Can it be named rectangle \(M N Q P ?\)

\(\angle F A C\) and \(\angle C A D\) are adjacent and \(\overrightarrow{A F}\) and \(\overrightarrow{A D}\) are opposite rays. What can you conclude about \(\angle F A C\) and \(\angle C A D ?\)

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 \(n\) )?

State the hypothesis and the conclusion of each statement. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Make a Drawing. On the basis of your Drawing, write a Given and a Prove for the theorem. If two angles are supplementary to the same angle, then these angles are congruent.

Does the relation "is greater than" have a reflexive property (consider real number \(a\) )? a symmetric property (consider real numbers \(a\) and \(b\) )? a transitive property (consider real numbers \(a, b,\) and \(c\) )?

Let \(m \angle 1=x\) and \(m \angle 2=y\) Using variables \(x\) and \(y,\) write an equation that expresses the fact that \(\angle 1\) and \(\angle 2\) are: a) supplementary b) congruent

Suppose \(\angle A B C\) and \(\angle D E F\) have the same measure. Which statements are expressed correctly? a) \(\mathrm{m} \angle A B C=\mathrm{m} \angle D E F\) b) \(\angle A B C=\angle D E F\) c) \(\mathrm{m} \angle A B C \cong \mathrm{m} \angle D E F\) d) \(\angle A B C \cong \angle D E F\)