1.3. Congruent Angles and Angle Bisectors http://www.ck12.org
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For 1-4, use the following picture to answer the questions.
- What is the angle bisector of^6 T PR?
- What ism^6 QPR?
- What ism^6 T PS?
- What ism^6 QPV?
For 5-6, use algebra to determine the value of variable in each problem.
5.
6.
For 7-10, decide if the statement is true or false.
- Every angle has exactly one angle bisector.
- Any marking on an angle means that the angle is 90◦.
- An angle bisector divides an angle into three congruent angles.
- Congruent angles have the same measure.
In Exercises 11-15, use the following information:Qis in the interior of^6 ROS.Sis in the interior of^6 QOP.Pis in
the interior of^6 SOT.Sis in the interior of^6 ROTandm^6 ROT= 160 ◦,m^6 SOT= 100 ◦,andm^6 ROQ=m^6 QOS=
m^6 POT.
- Make a sketch.