Wednesday, February 10, 2016

Honors Geometry; 2/10

We spent time going over homework to start the period before going through some review exercises for our quiz tomorrow.  We went through a circle proof, as well as several different types of drawings involving tangent lines together.  The students then got started on their review packet in preparation for the quiz tomorrow.   The answers to the packet will appear on this blog later in the day.


Assignment:  Review worksheet section 9-1 to 9-4


Basic Terms;  Tangents

1.  segment OT, segment OB
2.  segment BT
3.  line AB
4.  line TS
5.  segment AB,  segment BT
6.  point T
7.  8
8.  8n
9.  90
10.  segment QP and segment QR
11.  perpendicular
12.  6
13.  6 radical 2
14.  ABCD
15.  OP = 15
16.  RS = 8
17.  HI = 28
18.  15
19.  18
20.  12

Arcs, Central Angles, and Chords

1.  90
2.  135
3.  135
4.  225
5.  45
6.  55
7.  20
8.  60
9.  150
10.  11 or 1 o clock
11.  12
12.  8 radical 3
13.  60
14.  120
15.  120
16.  4 radical 3
17.  9
18.  9
19.  24
20.  14

Tangents, Arcs, and Chords

1.  5
2.  segments PR, PQ, and PS
3.  tangent
4.  inscribed
5.  58
6.  arc RQ and arc QS  or arc RP and arc PS
7.  segment RP and segment PS
8.  AD = 9;  BC = 5
9.  arc JK = 130;  arc HKJ = 310
10.  LM = 3 radical 3
11.  Proof steps below

             angle AOD congruent to angle COD                           Given
            angle AOD + angle AOB = 180                                    Angle Addition Postulate
            angle COD + angle BOC = 180                                    Angle addition postulate
            angle AOD congruent to angle BOC                            Substitution
            arc AB congruent to arc BC                                          in same circle, if central angle is
                                                                                                   congruent, then arcs are congruent

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