For Exercises 17 to 20, the given statement is true. Write anequivalent (but more compact) statement that must be true.17. If ZA and ZB are not congruent, then ZA and ZB arenot vertical angles.18. If lines l and m are not perpendicular, then the anglesformed by l and m are not right angles.19. If all sides of a triangle are not congruent, then the triangle isnot an equilateral triangle.2120. If no two sides of a quadrilateral (figure with four sides) areparallel, then the quadrilateral is not a trapezoid.

“Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Answered: For Exercises 17 to 20, the given…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.2: Indirect Proof

Problem 20E

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Similar questions

Given the line AC and ray BD, suppose that BE bisects ABD and that BF bisects DBC. What type of angle is EBF?
In Exercises 25 and 26, complete each proof. Use the figure shown below. Given: DCAB and ADBC Prove: ABCCDA PROOF Statements Reasons 1. DCAB 1. ? 2. DCABAC 2. ? 3. ? 3. Given 4. ? 4. If two lines are cut by a transversal, alternate interior s are 5. ACAC 5. ? 6. ? 6. ASA
In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?
For Exercises 32 to 35, consider kite ABCD with ABAD andBCDC. For kite ABCD, mC=m-30 while mA=mB-50. Find mB.
Given that NP bisects MNQ, state a conclusion involving mMNP and mPNQ.
In Exercises 25 and 26, supply the missing statements and reasons. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a PROOF Statements Reasons 1. Quadrilateral PQST with midpoints A, B, C, and D of the sides 1. ? 2. Draw TQ 2. Through two points, there is one line 3. ABTQinTPQ 3. The line joining the midpoints of two sides of a triangle is to the third side 4. DCTQinTSQ 4. ? 5. ABDC 5. ? 6. Draw PS 6. ? 7. ADPSinTSP 7. ? 8. BCPSinPSQ 8. ? 9. ADBC 9. ? 10. ? 10. If both pairs of opposite sides of a quadrilateral are , the quadrilateral is a
In Exercises 25 to 36, give the indirect proof for each problem or statement. If alternate interior angles are not congruent when two lines are cut by a transversal, then the lines are not parallel.
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
In Exercises 19 to 24, complete each proof. Given: Quadrilateral ABCD, with midpoints E, F, G, and H of the sides Prove: EFHG PROOF Statements Reasons 1. ? 1. Given 2. Draw AC 2. Through two points, there is one line 3. In ABC, EFAC and in ADC, HGAC 3. ? 4. ? 4. If two lines are to the same line, these lines are to each other
In Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and s Z and Y are supplementary Prove: WXYZ is a parallelogram PROOF Statements Reasons 1. WX-ZY- 1.? 2.? 2.Given 3.? 3.If two lines are cut by a transversal so that interior s on the same side of the transversal are supplementary, these lines are 4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is a
In ABC,AC=5.3,BC=7.2 and BA=6.7. With angle bisectors as shown, which line segment is longer? a AE or EC? b CD or DB? c AF or FB?
In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.

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