Constructing Parallel Lines

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

• a line through P parallel to line l

• a line through P intersecting line l

• a line through P congruent to line l

• a line through P perpendicular to line l

Name the construction.

• Corresponding angles

• Parallel line to a point not on the line

• Perpendicular line to a point not on the line

• Angle bisector

In the image, line RS is _______ to line JQ.

• parallel

• congruent

• similar

• perpendicular

Name the angle relationship between x and y.

• consecutive interior angles.

• alternate exterior angles.

• corresponding angles.

• alternate interior angles.

What is the next step in the construction of a line parallel to line g?

• Draw a line from point P that intersects line g

• With compass at point A, draw an arc that intersects both sides of the angle

• Set the compass radius to the length of BC and draw a small arc from point D that intersects the arc drawn

• Draw a line that connects point P to the intersection of the two arcs

Name the angle relationship between x and y.

• alternate interior angles.

• consecutive interior angles.

• corresponding angles.

• alternate exterior angles.

Solve for x.

• 23

• -20

• 32

• 20

Line l and m are intersected by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6 

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25

What value of x proves that line p is parallel to line r?

• 14

• 12.5

• 15

• 25