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Chapter 3: Q13 (page 89)

Use the given information to name the segments (if any) that must be parallel.

∠3≅∠6

Short Answer

Expert verified

The required segments are EB¯and DC¯.

Step by step solution

01

Step 1. Determine the theorem or postulate that can be used

The theorem 3-5 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the alternate interior side represents the congruent angles.

02

Step 2. Observe the provided figure

According to the provided figure a separate line BD¯is travelling through the lines EB¯and DC¯which are associated with the provided angles which are positioned on alternate interior side.

03

Step 3. Make the conclusion

According to the theorem 3-5 the lines EB¯ andDC¯ are having a parallel relation between them because the angles formed by these lines are the provided angles.

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Most popular questions from this chapter

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

.Name two planes parallel toAB¯.

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

∠14and∠16

Name the two lines and the transversal that form each pair of angles.

and

Name two coplanar segments that do not intersect and yet are not parallel.

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and
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