QUIZ 3: PARALLELS AND TRANSVERSALS
From the following figure, how can you conclude that lines l and m are parallel? https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page55d.gif
Alternate exterior angles theorem
From the following figure, how can you conclude that lines l and m are parallel? https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page55c.gif
Alternate interior angles theorem
From the following figure, how many ways can you show that lines l and m are parallel? https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page56a2.gif
At least 4 ways
Match the reasons with the statements in the proof. Given: m ∠ 1 = m ∠ 3 m ∠ 2 = m ∠ 3 Prove: l || m https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page57a.gif
Given (1) Substitution (2) Definition of alternate interior angles (3) If alternate interior angles are (4)
Through a point not on a line, one and only one line can be drawn parallel to the given line.
always
Two coplanar lines that are perpendicular to the same line are parallel.
always
Two adjacent angles whose exterior sides are opposite rays are complementary.
never
Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is
18
From the following figure, how can you conclude that lines l and m are parallel? https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page55a.gif
Corresponding angles postulate
From the following figure, why can you not conclude that lines l and m are parallel? https://assets.learnosity.com/organisations/328/00702a04-5723-42ff-b117-ebe97b6b2396/page55b.gif
Corresponding angles postulate are not congruent
Perpendicular lines intersect to form right angles.
always
When two lines are cut by a transversal, if the alternate interior angles are equal in measure, then the lines are parallel.
always
To bisect means to
cut into two equal parts
If two lines are cut by a transversal, the corresponding angles are equal in measure.
sometimes
Two lines parallel to the same plane are parallel to each other.
sometimes
Two lines that do not intersect are parallel.
sometimes
