Review the following concept if necessary: Working with Geometry Lines Study Guide.

**Working With Geometry Lines Practice Questions**

**Problems**

**Use the following figure to answer questions 1–4.**

- Is line
*d*a transversal? Why or why not? - Is line
*y*a transversal? Why or why not? - Is line
*t*a transversal? Why or why not? - Is line
*r*a transversal? Why or why not?

**State whether the following statements are true or false.**

- Perpendicular lines always form multiple right angles.
- The symbol "" means parallel.
- Transversals must always be parallel.
- Perpendicular lines can be formed by intersecting or nonintersecting lines.

**Complete the sentences with the correct word: always, sometimes, or never.**

- Parallel lines are ________ coplanar.
- Parallel lines ________ intersect.
- Parallel lines are ________ cut by a transversal.
- Lines that are skewed ________ form right angles.
- Skew lines are ________ coplanar.
- Skew lines ________ intersect.

**In the following figure, m n and s t. For questions 15–18, (a) state the special name for each pair of angles (alternate interior angles, corresponding angles, or same-side interior angles), then (b) tell if the angles are congruent or supplementary.**

- 2 and 10
- __________
- __________

- 6 and 7
- __________
- __________

- 13 and 15
- __________
- __________

- 11 and 14
- __________
- __________

- List all angles that are equal to 1.
- List all angles that are supplementary to 11.

**For questions 21–24, use the measure of the given angle to find the missing angle.**

*m*2 = 100°, so*m*7 = _____*m*8 = 71°, so*m*12 = _____*m*5 = 110°, so*m*7 = _____*m*2 = 125°, so*m*11 =_____

**Complete the statement for practice problems 25–30.**

- Alternate interior angles are similar to corresponding angles because ____________________.
- Alternate interior angles differ from corresponding angles because ____________________.
- Same-side interior angles are similar to alternate interior angles because ____________________.
- Same-side interior angles differ from alternate interior angles because ____________________.
- Same-side interior angles are similar to corresponding angles because ____________________.
- Same-side interior angles differ from corresponding angles because ____________________.

**Answers**

- Yes; line
*d*cuts across lines*t*and*r*. - Yes; line
*y*cuts across lines*t*and*r*. - No; line t intersects lines d and y at the same point, not two different points.
- Yes; line
*r*cuts across lines*d*and*y*at two different points. - true
- False; the symbol means perpendicular.
- False; transversals can be perpendicular, but they do not have to be perpendicular.
- false
- always
- never
- sometimes
- never
- never
- never
- corresponding angles; congruent
- same-side interior angles; supplementary
- corresponding angles; congruent
- alternate interior angles; congruent
- 3, 6, 8, 9, 11, 14, and 16
- 2, 4, 5, 7, 10, 12, 13, and 15
- 80°
- 109°
- 110°
- 55°
- They are both pairs of congruent angles when formed by parallel lines and a transversal.
- Alternate interior angles are both "inside" the parallel lines. Corresponding angles are a pair of angles with one angle "inside" the parallel lines and one "outside" the parallel lines.
- They are both pairs of interior angles.
- Same-side interior angles are supplementary. Alternate interior angles are congruent.
- Both pairs of angles are on the same side of the transversal.
- Same-side interior angles are supplementary. Corresponding angles are congruent. Also, both same-side interior angles are interior while corresponding angles have one angle "inside" and one "outside" the parallel lines.

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