For items 12-14, consider the figure at the right.12. Which of the following statements is true?A. mLKNI = m2PIN,B. m2KNI>m mLINK.D. Cannot be determined.14. What theorem did you apply to answer item numbers 10 and 11?A. Exterior Angle Inequality TheoremB. Triangle Inequality Theorem 1 (Ss → Aa)NKC. Triangle Inequality Theorem 3 (S1+S2> S3)D. Converse of Hinge Theorem or SSS Triangle InequalityTheorem.

We have to find the true statement.

For items 12-14, consider the figure at the right. 12. Which of the following statements is true? A. m2KNI=m&PIN. B. m2KNI> mLPIN. C. m/KNI m S3) D. Converse of Hinge Theorem or SSS Triangle InequalityTheorem.

For items 12-14, consider the figure at the right. 12. Which of the following statements is true? A. m2KNI=m&PIN. B. m2KNI> mLPIN. C. m/KNI m S3) D. Converse of Hinge Theorem or SSS Triangle InequalityTheorem.

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 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...

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Question

For items 12-14, consider the figure at the right.
12. Which of the following statements is true?
A. mLKNI = m2PIN,
B. m2KNI>m<PIN.
C. m/KNI <m<PIN.
D. Cannot be determined.
P
13. Which of the following statements is true?
A. m/NPI = mLINK.
C. mLNPI < mLINK.
B. mLNPI > mLINK.
D. Cannot be determined.
14. What theorem did you apply to answer item numbers 10 and 11?
A. Exterior Angle Inequality Theorem
B. Triangle Inequality Theorem 1 (Ss → Aa)
N
K
C. Triangle Inequality Theorem 3 (S1+S2> S3)
D. Converse of Hinge Theorem or SSS Triangle InequalityTheorem.

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Which of the following statements would you prove by the indirect method? a In triangle ABC, if mAmB, then ACBC. b If alternate exterior 1 alternate exterior 8, then l is not parallel to m. c If (x+2)(x3)=0, then x=2orx=3. d If two sides of a triangle are congruent, the two angles opposite these sides are also congruent. e The perpendicular bisector of a line segment is unique.

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