Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
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Chapter 11.CR, Problem 18CR
To determine
To prove:
The given statement.
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Chapter 11 Solutions
Elementary Geometry for College Students
Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10E
Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - Prob. 17ECh. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - In Exercises 15 to 20, find the lengths of the...Ch. 11.1 - Prob. 20ECh. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 21 to 26, find the measures of the...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 33ECh. 11.1 - In Exercises 27 to 34, use the drawings, where...Ch. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - For Exercises 35 to 38, make drawings as needed....Ch. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 1 to 6, find cos and cos.Ch. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - In Exercise 17 to 22, use either the sine ratio or...Ch. 11.2 - In Exercise 23 to 28, use either the sine ratio or...Ch. 11.2 - In Exercise 23 to 28, use either the sine ratio or...Ch. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - In Exercise 29 to 37, angle measures should be...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - In Exercise 29 to 37, angle measures should be...Ch. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - For Exercise 42 and 43, use the drawing and the...Ch. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - In Exercises 1 to 4, find tan and tan for each...Ch. 11.3 - Prob. 4ECh. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - In Exercises 5 to 10, find the value or expression...Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - In Exercises 15 to 20, use the sine, cosine, or...Ch. 11.3 - In Exercises 15 to 20, use the sine, cosine, or...Ch. 11.3 - Prob. 21ECh. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - Prob. 24ECh. 11.3 - In Exercises 21 to 26, use the sine, cosine, or...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - In Exercises 27 to 32, use a calculator and...Ch. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - In Exercises 37 to 43, angle measures should be...Ch. 11.3 - In Exercises 37 to 43, angle measures should be...Ch. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.4 - In Exercises 1 and 2, use the given information to...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - In Exercises 3 and 4, state the form of the Law of...Ch. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - In Exercises 15 and 16, find the area of the given...Ch. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - In Exercises 29 to 34, use the Law of Sines or the...Ch. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Show that the form of the Law of Cosines written...Ch. 11.4 - Explain why the area of the parallelogram shown is...Ch. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - In Exercises 1 to 4, state the ratio needed, and...Ch. 11.CR - Prob. 4CRCh. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 5 to 8, state the ratio needed, and...Ch. 11.CR - In Exercises 9 to 12, use the Law of Sines or the...Ch. 11.CR - Prob. 10CRCh. 11.CR - In Exercises 9 to 12, use the Law of Sines or the...Ch. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CRCh. 11.CR - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In exercises 21 to 30. Use the drawings. Where...Ch. 11.CR - In Exercises 21 to 30, use the drawings, where...Ch. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - In Exercises 21 to 30, use the drawings, where...Ch. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CRCh. 11.CR - Prob. 34CRCh. 11.CT - Prob. 1CTCh. 11.CT - Prob. 2CTCh. 11.CT - Prob. 3CTCh. 11.CT - Prob. 4CTCh. 11.CT - Using your calculator, find to the nearest degree...Ch. 11.CT - Without the calculator, determine which number is...Ch. 11.CT - Prob. 7CTCh. 11.CT - Prob. 8CTCh. 11.CT - Prob. 9CTCh. 11.CT - Prob. 10CTCh. 11.CT - Prob. 11CTCh. 11.CT - Prob. 12CTCh. 11.CT - Prob. 13CTCh. 11.CT - Prob. 14CTCh. 11.CT - Prob. 15CTCh. 11.CT - Prob. 16CTCh. 11.CT - Prob. 17CTCh. 11.CT - Prob. 18CTCh. 11.CT - Prob. 19CTCh. 11.CT - Prob. 20CT
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- Proof: LN⎯⎯⎯⎯⎯LN¯ divides quadrilateral KLMN into two triangles. The sum of the angle measures in each triangle is ˚, so the sum of the angle measures for both triangles is ˚. So, m∠K+m∠L+m∠M+m∠N=m∠K+m∠L+m∠M+m∠N=˚. Because ∠K≅∠M∠K≅∠M and ∠N≅∠L, m∠K=m∠M∠N≅∠L, m∠K=m∠M and m∠N=m∠Lm∠N=m∠L by the definition of congruence. By the Substitution Property of Equality, m∠K+m∠L+m∠K+m∠L=m∠K+m∠L+m∠K+m∠L=°,°, so (m∠K)+ m∠K+ (m∠L)= m∠L= ˚. Dividing each side by gives m∠K+m∠L=m∠K+m∠L= °.°. The consecutive angles are supplementary, so KN⎯⎯⎯⎯⎯⎯∥LM⎯⎯⎯⎯⎯⎯KN¯∥LM¯ by the Converse of the Consecutive Interior Angles Theorem. Likewise, (m∠K)+m∠K+ (m∠N)=m∠N= ˚, or m∠K+m∠N=m∠K+m∠N= ˚. So these consecutive angles are supplementary and KL⎯⎯⎯⎯⎯∥NM⎯⎯⎯⎯⎯⎯KL¯∥NM¯ by the Converse of the Consecutive Interior Angles Theorem. Opposite sides are parallel, so quadrilateral KLMN is a parallelogram.arrow_forwardQuadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth if necessary. BCDEFGHI2737.55arrow_forwardAn angle measures 70.6° more than the measure of its supplementary angle. What is the measure of each angle?arrow_forward
- Name: Date: Per: Unit 7: Geometry Homework 4: Parallel Lines & Transversals **This is a 2-page document! ** Directions: Classify each angle pair and indicate whether they are congruent or supplementary. 1 1.23 and 25 2. 24 and 28 3. 22 and 25 4. 22 and 28 5. 21 and 27 6. 22 and 26 Directions: Find each angle measure. 7. Given: wvm25-149 m21- 8. Given: mn: m1=74 mz2- m22- m.23- m23- mz4= V mz4= m25= m26- m26= m27- m27 m28- m48= 9. Given: a || b: m28 125 m2- 10. Given: xy: m22-22 m21- = mz2- m43- m3- mZA m24-> m. 5- m25- m26- m.26=> m2]=> m27= m28- 11. Given: rm2-29: m15-65 m2=> m29-> m3- m. 10- mc4= m25= m212- m.46- m213- mat- m214- m28- & Gina when (N) Things ALICE 2017arrow_forwardMatch each statement to the set of shapes that best describes them. 1. Similar triangles by SSS 2. Similar triangles by SAS 3. Similar triangles by AA 4. The triangles are not similar > U E 35° 89° S F 89° J 35° 94° G 52° 90° E K 52° Iarrow_forwardMatch each transformation series with the diagram that applies to it. 1. (x, y) (x-10, y + 7) scale factor: 2 2. (x, y)(x-8, y+6) scale factor: 4 3. (x, y)(x+1, y - 5) scale factor: 5 D' 104º 6 2 -10 8 -6 F2 4 5 D 2 E -4 -6 100 E 8 10 Farrow_forward
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