212k views
0 votes
Which lines are parallel? Check all that apply

A: B||F
B: B||D
C: C||E
D: C||D
E: D||F
F: E||F

Which lines are parallel? Check all that apply A: B||F B: B||D C: C||E D: C||D E: D-example-1
User Shadowbob
by
8.2k points

1 Answer

3 votes

Answer:

Options A, C and D

Explanation:

Option A

Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]

If b║f and line a is a transversal line,

m∠p = 90.5° [Alternate exterior angles]

True

Option B

If B║D and line a is a transversal,

m∠q = 89.5° [vertically opposite angles]

∠q + 89.5° = 89.5° + 89.5° = 179°

But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.

So the given statement is False.

Option C

c║e

Since, m∠r = 91.5° [Vertically opposite angle]

And m∠r + 89.5° = 180° [Consecutive interior angles]

True.

Option D

c║d

Since, ∠r and ∠q are consecutive interior angles,

m∠r + m∠q = 180°

91.5° + 89.5° = 180°

True

Option E.

d║f

m∠s = 90.5°[Vertically opposite angles]

Since, ∠s and angle with measure 89.5° are the alternate interior angles,

So measure of angle s should be 89.5°.

Therefore, d║f is False.

Option F.

If e║f, angles with measures 89.5° and 90.5° should be equal.

But measures of both are different.

Therefore, e║f is False.

Options A, C and D are the correct options.

Which lines are parallel? Check all that apply A: B||F B: B||D C: C||E D: C||D E: D-example-1
User Dmitry Pimenov
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories