QUIZ 3: PARALLELS AND TRANSVERSALS

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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


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