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7. In the figure below, Khen concluded that mzTPA> m/PTA. Which theorem on inequalities in triangle justifies Khen's conclusion? A A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S₁ + S₂ >S₂)

7. In the figure below, Khen concluded that mzTPA> m/PTA. Which theorem on inequalities in triangle justifies Khen's conclusion? A A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S₁ + S₂ >S₂)

Elementary Geometry For College Students, 7e
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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7. In the figure below, Khen concluded that mzTPA> mzPTA. Which theorem on inequalities in triangle justifies Khen's conclusion? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S₁ + S₂ >S₂) 8. Joan analyzed the triangles in the given figure at the right. Which of the following is a correct observation? F A. |EF|=|IF|. B. INI>ENI. 9 10 C. IFN <IFNI. D. mLENF > mzINF 1 9. Which theorem justifies Joan's conclusion in item no. 8? 5 N A. Hinge Theorem B. Converse of Hinge Theorem C. Triangle Inequality Theorem 1 (Ss-Aa) D. Triangle Inequality Theorem 3 (S1 + S2 > S3) 10. Using the given figure below, can you conclude that |HS| > |HF| if one of the following statements is not established: IH = IH, IF = IS, mzSIH> mzFIH? A. Yes, I will. B. No, I will not. C. It is impossible to decide. 38 40 H D. It depends on which statement is left out. 11. In the figure below, Chris has proved that |IS| > |IW|. Which of the following statements is NOT part of his proof? A. ES EW. W 10 B. EI EI. E C. mLW <mzs. 75° 10 D. mzWEI + m2SEI = 180°. 12. What theorem did Chris use to justify his statement/answer in item 11? A. Hinge Theorem B. Converse of Hinge Theorem C. Triangle Inequality Theorem 1 (Ss-Aa) D. Triangle Inequality Theorem 3 (S₁ + S₂ > S3) 13. Complete the statement: Even without actual measurements, inequalities in triangles can be justified using theorems on inequalities in triangles. A. inductively C. specifically B. deductively D. generally 5 E
Transcribed Image Text:7. In the figure below, Khen concluded that mzTPA> mzPTA. Which theorem on inequalities in triangle justifies Khen's conclusion? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S₁ + S₂ >S₂) 8. Joan analyzed the triangles in the given figure at the right. Which of the following is a correct observation? F A. |EF|=|IF|. B. INI>ENI. 9 10 C. IFN <IFNI. D. mLENF > mzINF 1 9. Which theorem justifies Joan's conclusion in item no. 8? 5 N A. Hinge Theorem B. Converse of Hinge Theorem C. Triangle Inequality Theorem 1 (Ss-Aa) D. Triangle Inequality Theorem 3 (S1 + S2 > S3) 10. Using the given figure below, can you conclude that |HS| > |HF| if one of the following statements is not established: IH = IH, IF = IS, mzSIH> mzFIH? A. Yes, I will. B. No, I will not. C. It is impossible to decide. 38 40 H D. It depends on which statement is left out. 11. In the figure below, Chris has proved that |IS| > |IW|. Which of the following statements is NOT part of his proof? A. ES EW. W 10 B. EI EI. E C. mLW <mzs. 75° 10 D. mzWEI + m2SEI = 180°. 12. What theorem did Chris use to justify his statement/answer in item 11? A. Hinge Theorem B. Converse of Hinge Theorem C. Triangle Inequality Theorem 1 (Ss-Aa) D. Triangle Inequality Theorem 3 (S₁ + S₂ > S3) 13. Complete the statement: Even without actual measurements, inequalities in triangles can be justified using theorems on inequalities in triangles. A. inductively C. specifically B. deductively D. generally 5 E
Assessment Directions: Answer each of the following items accurately. Write the letter of the correct answer on a separate sheet of paper. 1. Which of the following statements is true about the figure? A. mz6= m23 B. mz5 < mz3 A C. m25> mz1 D. mz4> mz2 2. Study the figure in item 1. Notice that mz5> m23 and mz5> m21. Which theorem justifies these observations? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S1 + S2 > S3) 3. In APAY, if |PA| = 4 cm, |AY| = 5 cm, and |PY| = 3 cm, which statement is true? A. mLA > mzY. C. mzA > m/P. B. mzY> mzP. D. mzP> mzA. 4. Which theorem justifies the statement/answer in item 3? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S1 + S2 S3) 5. In AGOD, |GO| = |DO| and |GD|>IDO]. Which of the following statements is NOT true? A. mZGOD > mzODG C. m20DG = mzDGO D. m2GOD <m20DG B. mZGOD > mzDGO 6. Using the lengths of the sides shown in the triangles below, what conclusion can be formed using the Converse of Hinge Theorem? A. |PT| = |PT|. B. |PA| = |PH|. C. mzAPT> mzHPT. D. mzHPT> mzAPT. 12
Transcribed Image Text:Assessment Directions: Answer each of the following items accurately. Write the letter of the correct answer on a separate sheet of paper. 1. Which of the following statements is true about the figure? A. mz6= m23 B. mz5 < mz3 A C. m25> mz1 D. mz4> mz2 2. Study the figure in item 1. Notice that mz5> m23 and mz5> m21. Which theorem justifies these observations? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S1 + S2 > S3) 3. In APAY, if |PA| = 4 cm, |AY| = 5 cm, and |PY| = 3 cm, which statement is true? A. mLA > mzY. C. mzA > m/P. B. mzY> mzP. D. mzP> mzA. 4. Which theorem justifies the statement/answer in item 3? A. Exterior Angle Inequality Theorem B. Triangle Inequality Theorem 1 (Ss-Aa) C. Triangle Inequality Theorem 2 (Aa-Ss) D. Triangle Inequality Theorem 3 (S1 + S2 S3) 5. In AGOD, |GO| = |DO| and |GD|>IDO]. Which of the following statements is NOT true? A. mZGOD > mzODG C. m20DG = mzDGO D. m2GOD <m20DG B. mZGOD > mzDGO 6. Using the lengths of the sides shown in the triangles below, what conclusion can be formed using the Converse of Hinge Theorem? A. |PT| = |PT|. B. |PA| = |PH|. C. mzAPT> mzHPT. D. mzHPT> mzAPT. 12
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