COMPLETE THE SENTENCE Two lines that do not intersect and are also not parallel are ________ lines.

Margaret F.

Numerade Educator

WHICH ONE DOESN’T BELONG? Which angle pair does not belong with the other three? Explain your reasoning.

Zachary Z.

Numerade Educator

In Exercises $3-6,$ think of each segment in the diagram as part of a line. All the angles are right angles. Which line(s) or plane(s) contain point $B$ and appear to $l$ the description?

line(s) parallel to $\mathrm{CD}$

Joseph L.

Numerade Educator

In Exercises $3-6,$ think of each segment in the diagram as part of a line. All the angles are right angles. Which line(s) or plane(s) contain point $B$ and appear to $l$ the description?

line(s) perpendicular to CD

Zachary Z.

Numerade Educator

In Exercises $3-6,$ think of each segment in the diagram as part of a line. All the angles are right angles. Which line(s) or plane(s) contain point $B$ and appear to $l$ the description?

line(s) skew to CD

Joseph L.

Numerade Educator

In Exercises $3-6,$ think of each segment in the diagram as part of a line. All the angles are right angles. Which line(s) or plane(s) contain point $B$ and appear to $l$ the description?

plane(s) parallel to plane CDH

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In Exercises $7-10,$ use the diagram.

Name a pair of parallel lines.

Joseph L.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Name a pair of perpendicular lines.

Zachary Z.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Is $\mathrm{PN} \rceil$ KM? Explain.

Joseph L.

Numerade Educator

In Exercises $7-10,$ use the diagram.

Is $\mathrm{PR} \perp \mathrm{NP}$ ? Explain.

Zachary Z.

Numerade Educator

In Exercises $11-14$ , identify all pairs of angles of the given type.

corresponding

Joseph L.

Numerade Educator

In Exercises $11-14$ , identify all pairs of angles of the given type.

alternate interior

Zachary Z.

Numerade Educator

In Exercises $11-14$ , identify all pairs of angles of the given type.

alternate exterior

Joseph L.

Numerade Educator

In Exercises $11-14$ , identify all pairs of angles of the given type.

consecutive interior

Zachary Z.

Numerade Educator

USING STRUCTURE Exercises $15-18,$ classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

Joseph L.

Numerade Educator

USING STRUCTURE Exercises $15-18,$ classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

$$

<11 \text { and } \angle 13

$$

Zachary Z.

Numerade Educator

USING STRUCTURE Exercises $15-18,$ classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

$$

\angle 6 \text { and } \angle 13

$$

Joseph L.

Numerade Educator

USING STRUCTURE Exercises $15-18,$ classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

$$

\angle 2 \text { and } \angle 11

$$

Zachary Z.

Numerade Educator

ERROR ANALYSIS Exercises 19 and 20 , describe and correct the error in the conditional statement about lines.

If two lines do not intersect, then they are parallel.

Margaret F.

Numerade Educator

ERROR ANALYSIS Exercises 19 and 20 , describe and correct the error in the conditional statement about lines.

If there is a line and a point not on the line, then there is exactly one line through the point that intersects the given line.

Zachary Z.

Numerade Educator

MODELING WITH MATHEMATICSe the photo to decide whether the statement is true or false. Explain your reasoning.

a. The plane containing the oor of the tree house is parallel to the ground.

b. The lines containing the railings of the staircase, such as $A B$ , are skew to all lines in the plane containing the ground.

Joseph L.

Numerade Educator

THOUGHT PROVOKINGf two lines are intersected by a third line, is the third line necessarily a transversal? Justify your answer with a diagram.

Zachary Z.

Numerade Educator

MATHEMATICAL CONNECTIONSO lines are cut by a transversal. Is it possible for all eight angles formed to have the same measure? Explain your reasoning.

Margaret F.

Numerade Educator

HOW Do You SEE ITThink of each segment in the gure as part of a line.

a. Which lines are parallel to $\mathrm{NQ}$ ?

b. Which lines intersect $\mathrm{NQ}$ ?

c. Which lines are skew tove?

Zachary Z.

Numerade Educator

Use the diagram to I nd the measures of all the angles. (Section 2.6)

$$

\mathrm{m} \angle 1=76^{\circ}

$$

Joseph L.

Numerade Educator

In Exercises $25-28$ , copy and complete the statement List all possible correct answers.

$\angle \mathrm{BCG}$ and

Zachary Z.

Numerade Educator

In Exercises $25-28$ , copy and complete the statement. List all possible correct answers.

$\angle \mathrm{FCJ}$ and ______ are alternate interior angles.

Joseph L.

Numerade Educator

In Exercises $25-28$ , copy and complete the statement. List all possible correct answers.

$\angle \mathrm{FCA}$ and

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MAKING AN ARGUMENT YOur friend claims the uneven parallel bars in gymnastics are not really parallel. She says one is higher than the other, so they cannot be in the same plane. Is she correct? Explain.

Margaret F.

Numerade Educator

Use the diagram to 1 nd the measures of all the angles. (Section 2.6 )

$\mathrm{m} \angle 2=159^{\circ}$

Joseph L.

Numerade Educator