3 Vocabulary Ray- a part of a line Opposite rays- a point on a line determines exactly 2 rays called opposite raysAngle- formed by 2 noncollinear rays that have the same endpointVertex- the common endpoint of the angleInterior- all points that lie inside the angleExterior- all points that lie outside the angleDegree- unit of angle measurementAngle Bisector- a ray that divides an angle into 2 congruent angles
5 Types of Angles ACUTE ANGLE -measures less than 90° RIGHT ANGLE OBTUSE ANGLE-measures more than 90°
6 Examples T W ST and UT ST and TV <WTV <2 Name the vertex of each angle: 1. <4 2. <1 Name the sides of each angle: 3. <4 4.<STV Write another name for each angle: 5. <3 6. <WVTTWST and UTST and TV<WTV<2
7 Practice M P NO and NM MO and OP <MPO <3 Name the vertex of each angle: 1. <5 2. <3 Name the sides of each angle: 3. <6 4.<MOP Write another name for each angle: 5. <1 6. <QPRMPNO and NMMO and OP<MPO<3
8 Examples Classify each angle as right, acute, or obtuse: 7. <NMP 8.<OMN9. <QMN10. If <EBD= 4x+16 & <DBC=6x+4, Find <EBDRightAcuteBISECTORObtuse4x+16 = 6x+44x+164(6) +16 = 24+16<EBD = 40°12 = 2x6=x
9 Practice Classify each angle as right, acute, or obtuse: 7. <UZW 8.<YZW9. <TZW10. If <DCE= 4x+15 & <ECF=6x-5, Find <DCERightacuteObtuseBISECTOR4x+15 = 6x-520 = 2xX=104x+154(10)+15 =<DCE = 55°
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