Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
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Chapter 1.7, Problem 17E
For each theorem stated in Exercises 13 to 18, make a Drawing. On the basis of your Drawing, write a Given and a Prove for the theorem.
If two lines intersect, then the vertical
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- State whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. If two angles are congruent, then they are right angles.arrow_forwardState whether the sentences in Review Exercises 33 to 37 are always true A, sometimes true S, or never true N. Complementary angles are congruent.arrow_forwardUse drawings, as needed, to answer each question. Suppose that rs. Both interior angles 4 and 6 have been bisected. Using intuition, what appears to be true of 9 formed by the bisectors?arrow_forward
- In Exercises 11 to 18, state the hypothesis and the conclusion of each statement. If two chords of a circle have equal lengths, then the arcs of the chords are congruent.arrow_forwardA carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?arrow_forwardIn Exercise 7 to 16, name the lines if any that must be parallel under the given conditions. lm and mnarrow_forward
- In Exercises 27 to 35, complete the formal proof of each theorem. If two lines intersect, the vertical angles formed are congruent.arrow_forwardIn Exercise 1 to 10, classify each statement as true or false. If DG is the bisector of EDF, then DGDE.arrow_forwardIn Exercises 13 to 16, write the first statement of the indirect proof of the given statement. If AB is not perpendicular to BC, then ABC is not a right angle.arrow_forward
- In Review Exercises 15 to 22, state whether the statements are always true A, sometimes true S, or never true N. If a central angle and an inscribed angle of a circle intercept the same arc, then they are congruent.arrow_forwardIn Exercises 30 to 32, write a formal proof of each theorem. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.arrow_forwardGiven: 1 and 2 as shown in, sketch the bisectors of 1 and 2. What is the measure of the angle formed by the bisectors of 1 and 2?arrow_forward
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