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Magazine Problem 1
To prove that lines are parallel, we usually refer to the angles that they form with a transversal. (Figure can't copy) What is a transversal?
Problem 1
In \(\triangle O A R, \angle O=5^{\circ}\) and \(\angle A=25^{\circ}\) Find \(\angle \mathrm{R}\).
Problem 2
In \(\triangle O A R, \angle O=5^{\circ}\) and \(\angle A=25^{\circ}\) State the theorem that is the basis for your answer.
Problem 2
We now have a definition, a postulate, and several theorems about parallel lines. State the Parallel Postulate.
Problem 3
In \(\triangle O A R, \angle O=5^{\circ}\) and \(\angle A=25^{\circ}\) What kind of triangle is \(\triangle O A R\) with respect to its angles? In \(\triangle \mathrm{RIG}, \angle \mathrm{R}=30^{\circ}\) and \(\angle \mathrm{I}=75^{\circ}\)
Problem 4
The following exercises are about this statement: If two angles are complementary, then the sum of their measures is \(90^{\circ} .\) Is this statement a definition, a postulate, or a theorem?
Problem 5
The following exercises are about this statement: If two angles are complementary, then the sum of their measures is \(90^{\circ} .\) State its converse.
Problem 6
The following exercises are about this statement: If two angles are complementary, then the sum of their measures is \(90^{\circ} .\) Is its converse true?
Problem 8
The following exercises are about this statement: If two angles are vertical angles, then they are equal. Is this statement a definition, a postulate, or a theorem?
Problem 9
The following exercises are about this statement: If two angles are vertical angles, then they are equal. State its converse.
