Chapter 3: Angles and Lines

Why are lines AC and RS skew lines?

• They lie in different planes and will never intersect.

• They lie in the same plane but will never intersect.

• They lie in different planes but will intersect if a plane is drawn to contain both lines.

• They lie in different planes and will be parallel if a plane is drawn to contain both lines.

Tags

CCSS.HSG.CO.A.1

In the diagram, DC is 10 units and BC is 6 units. What is the length of segment AC?

Tags

CCSS.HSG.CO.C.10

In the diagram, the only figure that could be parallel to line c is

• line a

• line b

• line d

• plane Q

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Two parallel lines e and f are crossed by two transversals. What is the m<15?

• 77^o

• 83^o

• 93^o

• 97^o

Tags

CCSS.8.G.A.5

Two parallel lines are crossed by a transversal. What is the value of m?

• m = 68

• m = 78

• m = 102

• m = 112

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

Tags

CCSS.8.G.A.5

Given the information in the diagram, which theorem best justifies why lines e and f must be parallel?

• alternate interior angles theorem

• converse of the alternate interior angles theorem

• same side interior angles theorem

• converse of the same side interior angles theorem

Tags

CCSS.8.G.A.5

Which point is on the line that passes through point R and is perpendicular to line PQ?

• (-6, 10)

• (-4, -8)

• (0, -1)

• (2, 4)

Which statement best explains the relationship between lines PQ and RS?

• They are parallel because their slopes are equal.

• They are parallel because their slopes are negative reciprocals.

• They are not parallel because their slopes are not equal.

• They are not parallel because their slopes are negative reciprocals.

Tags

CCSS.8.EE.B.6

What is the equation of the line that is perpendicular to the given line and passes through point (3, 4)?

• $y=-\frac{1}{3}x+5$

• $y=-\frac{1}{3}x+3$

• $y=3x+2$

• $y=3x-5$