# Worksheet: Identifying and Proving Lines Parallel Using Angle Relationships

Q1:

Which of the following correctly defines parallel lines?

• ATwo lines are said to be parallel if they lie in the same plane and meet at an obtuse angle.
• BTwo lines are said to be parallel if they lie in the same plane and meet at an right angles.
• CTwo lines are said to be parallel if they lie in the same plane and meet at an acute angles.
• DTwo lines are said to be parallel if they lie in the same plane and never intersect however far they are extended.
• ETwo lines are said to be parallel if they lie in the same plane and meet at an reflex angles.

Q2:

The figure shows a pair of parallel lines with a transversal drawn through them.

What name is given to the pairs of colored angles highlighted in the figure.

• Aexterior angles
• Binterior angles
• Cstraight angles
• Dcorresponding angles

What do you notice regarding the measures of two corresponding angles?

• AThey are equal.
• BThey are complementary.
• CThey are supplementary.

Q3:

The figure shows a pair of parallel lines with a transversal drawn through them.

What name is given to the pairs of green and red angles highlighted in the figure?

• Acorresponding angles
• Bsupplementary exterior angles
• Ccomplementary interior angles
• Dsupplementary interior angles
• Ecomplementary exterior angles

What name is given to the pairs of blue and orange angles highlighted in the figure?

• Asupplementary exterior angles
• Bcomplementary interior angles
• Ccorresponding angles
• Dsupplementary interior angles
• Ecomplementary exterior angles

What do you notice regarding the measures of two supplementary angles?

• AThey sum to .
• BThey are equal.
• CThey sum to .