19 # Educational Content Transcription## Exercises 1-6**Describe the Pattern. Then Write or Draw the Next Two Numbers, Letters, or Figures.**1. Sequence: 1, –2, 3, –4, 5, ...2. Sequence: 0, 2, 6, 12, 20, ...3. Sequence: Z, Y, X, W, V, ...4. Sequence: A, D, G, J, M, ...5. Diagram: A sequence of polygons (triangle, square).6. Diagram: A sequence of stacked cubes forming steps.## Exercises 7-10**Make and Test a Conjecture About the Given Quantity.**7. The sum of an even integer and an odd integer.8. The product of any two even integers.9. The quotient of a number and its reciprocal.10. The quotient of two negative integers.## Exercises 11-14**Find a Counterexample to Show That the Conjecture is False.**11. The product of two positive numbers is always greater than either number.12. If n is a nonzero integer, then \( \frac{n+1}{n} \) is always greater than 1.13. If two angles are supplements of each other, then one of the angles must be acute.14. A line divides \( \triangle MN \) into two line segments. So, the line is a segment bisector of \( \triangle MN \).## Exercises 15-18**Use the Law of Detachment to Conclude What Can Be Concluded from the Given Information.**15. If you download a GIF, then your device crashes. You download a GIF.16. If a quadrilateral is a square, then it has four right angles. Quadrilateral QRST has four right angles.17. If a point divides a line segment into two congruent line segments, then the point is a midpoint. Point P divides \( \overline{HF} \) into two congruent line segments.## Exercises 19-22**Use the Law of Syllogism to Write a New Conditional Statement That Follows from the Pair of True Statements, if Possible.**19. If \( x < -2 \), then \( |x| > 2 \). If \( x > 2 \), then \( |x| > 2 \).

we need to find the new conditional statement.

In Exercises 19-22, use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible. (See Example 5.) 19. Ifx-2, then x > 2. Ifx > 2, then x > 2.

In Exercises 19-22, use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible. (See Example 5.) 19. Ifx-2, then x > 2. Ifx > 2, then x > 2.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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