Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Survey

Document related concepts

no text concepts found

Transcript

4-6 Solve It! There isn’t a lesson for proving triangles congruent by SideSide-Angle. That’s because it only works in the right situations. B One of the tent flaps was damaged in a storm. Can you use the other flap as a pattern to replace it? Explain. A C D 4-6 Lesson Quiz 1. Are the triangles shown below congruent? Explain. 2. Do you UNDERSTAND? O Given: ON > ML, LP > PN, /OPN is a right angle. Prove: nOPN > nMPL L P N M hsm11gmse_0406.indd 258 2/10/09 4:06:52 AM Answers Solve It! Lesson Quiz Yes; AB > CB (Given). By the Isosc. n Thm., /A > /C and /BDC > /BDA (All rt. ' are >.), so nABD > nCBD by AAS. 1. yes, by the HL Theorem 2. It is given that ON > ML, LP > PN, and /OPN is a right angle. /OPN > /LPM by Vertical Angles Theorem. m/OPN 5 m/LPM by the def. of cong. angles. m/OPN 5 90 by the def. of right angles. m/LPM 5 90 by subst. /LPM is a right angle by the def. of right angles. nOPN and nMPL are right triangles. So, nOPN > nMPL by HL. Prentice Hall Geometry • Solve It/Lesson Quiz on Transparencies Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 28

Related documents