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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 .