Angles of Parallel Lines and Transversals

​10.1c Angles of Parallel Lines and Transversals

Finite Math

​Parallel Lines: Lines with the same slope and will never touch.

​Transversal: A line that intersects parallel lines

Corresponding Angles: Lines that occupy the same relative position of parallel lines and a transversal

Alternate Interior Angles: Angles on the inside of parallel lines, on opposite sides of the transversal

Alternate Exterior Angles: Angles on the outside of parallel lines, on opposite sides of the transversal

Same Side Interior (Consecutive Interior): Angles on the inside of parallel lines, on same sides of the transversal

​Go to: https://www.mathsisfun.com/geometry/parallel-lines.html

​1. Choose a term.

2. Look at the highlighted part in the figure to answer the following.

Multiple Choice

Name the transversal.

• m

• n

• l

• 8

Multiple Choice

Name the parallel lines.

• m and n

• n and l

• m and l

• 7 and 8

Multiple Select

Which pairs are vertical angles.

• 1 and 2

• 2 and 4

• 1 and 3

• 5 and 7

• 6 and 8

Multiple Select

Which pairs are corresponding angles.

• 1 and 3

• 1 and 5

• 3 and 7

• 4 and 8

• 2 and 6

Multiple Select

Which pairs are alternate interior angles.

• 1 and 3

• 3 and 4

• 3 and 5

• 4 and 6

• 3 and 6

Multiple Select

Which pairs are alternate exterior angles.

• 1 and 7

• 2 and 8

• 3 and 5

• 4 and 6

• 2 and 7

Multiple Select

Which pairs are same-side interior angles.

• 3 and 4

• 5 and 8

• 3 and 5

• 3 and 6

• 4 and 5

Multiple Select

Which angles are congruent to angle 1.

• 3

• 2

• 7

• 8

• 5

Multiple Select

Which angles are supplementary to angle 1.

• 3

• 2

• 6

• 8

• 5

Multiple Select

Given angle 1 measure 70 degrees, which of the following must be true?

• $$m\angle3=70\degree$$

• $$m\angle6=70\degree$$

• $$m\angle7=110\degree$$

• $$m\angle8=110\degree$$

• $$m\angle4=70\degree$$

Multiple Select

Given angle 8 measure 130 degrees, which of the following must be true?

• $$m\angle3=50\degree$$

• $$m\angle6=130\degree$$

• $$m\angle7=50\degree$$

• $$m\angle2=130\degree$$

• $$m\angle4=130\degree$$

Multiple Choice

$$\angle1$$ and $$\angle7$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• adjacent angles

Multiple Choice

$$\angle6$$ and $$\angle2$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate interior angles

• adjacent angles

Multiple Choice

$$\angle3$$ and $$\angle5$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• adjacent angles

Multiple Choice

$$\angle6$$ and $$\angle8$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• adjacent angles

Multiple Choice

$$\angle2$$ and $$\angle8$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• same-side interior angles

• alternate exterior angles

Multiple Choice

$$\angle4$$ and $$\angle8$$ are congruent because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• alternate exterior angles

Multiple Choice

$$\angle2$$ and $$\angle3$$ are supplementary because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• linear pair of angles

Multiple Choice

$$\angle4$$ and $$\angle5$$ are supplementary because

• vertical angles

• corresponding angles

• alternate interior angles

• alternate exterior angles

• same side interior angles