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Chapter 3: Q41 (page 77)

Draw each figure described.

Lines d and e are skew, lines e and f are skew, and d鈯�f.

Short Answer

Expert verified

The sketch of the figure described is:

Step by step solution

01

Step 1. Description of step.

The parallel lines are the lines which are coplanar and do not intersect each other.

The skew lines are the lines which are non-coplanar and do not intersect each other.

02

Step 2. Description of step.

It is being given that Lines d and e are skew, lines e and f are skew, and d鈯�f. That implies the lines d and e are non-coplanar and do not intersect each other, lines e and f are non-coplanar and do not intersect each other and lines d and f are perpendicular to each other.

03

Step 3. Draw the sketch of the figure described.

The sketch of the figure described is:

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Most popular questions from this chapter

Alan tried to prove Postulate 10 as shown below. However, he did not have valid proof. Explain why not.

If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Given k鈭�l; transversal tcuts kand I

Prove: 鈭�1鈮�鈭�2

Statement

Reason

1.k鈭�l

Given

2.鈭�3鈮�鈭�2

If two parallel lines are cut by transversal then alt. int. 鈭�sare鈮�

3.鈭�1鈮�鈭�3

Vert. 鈭�sare鈮�

4.鈭�1鈮�鈭�2

Transitive Property

Draw a pentagon with one exterior angle at each vertex. Cut out the exterior angles and arrange them so that they all have a common vertex, as shown at the far right. What is the sum of the measures of the exterior angles? Repeat the experiment with a hexagon. Do your results support Theorem 3-14?

Each interior angle of a regular polygon has measure 150. How many sides does the polygon have?

Given: The measure of each interior angle of a regular n-gon is x times that of an exterior angle.

  1. Express x in terms of n.
  2. For what values of n will x be an integer?

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.
See all solutions

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