Wednesday, December 16, 2015

Honors Geometry; 12/16

We worked through some final review and homework examples before getting started on the chapter 7 review in class.  The review is due tomorrow before we take the test on Chapter 7.


Assignment:  Chapter 7 review


Test 28

1.  5c2 / 7a2
2.  1/25
3.  2/9
4.  72
5.  2hs
6.  t + h / h
7.  g/s
8.  g/s  or  h/t
9.  10
10.  10
11.  4/3
12.  triangle DAC
13.  AA for similar triangles
14.  3:5
15.  AC,  AD,  CD
16.  15
17.  Proof
                           statements                                                 reasons
      AS perp. KT;  AS perp. SE                                       given
    angle K and angle S are rt. angles                               def. of perpendicular
   angle K congruent to angle S                                       all right angles congruent
  angle A congruent to angle A                                       reflexive
  triangle AKT similar to triangle ASE                          AA for similar triangles
  AK/AS = AT / AE                                                       corr. sides of sim. triangles are proportional
  AK / AT  =  AS / AE                                                   property of proportions

Test 27

1.  need CD = 10   or   DE = 2
2.  need AE parallel to BD or angle A congruent to angle B or angle E congruent to angle D
3.  BC, AE
4.  yes, by SSS similarity
5.  proportional lengths in triangles theorem
6.  a.  yes       b.  yes      c.  no      d. yes
7.  4
8.  12
9.  6.4
10.  12.5
11.  7.5
12.  60


Test 26

1.  yes
2.  yes
3.  no
4.  yes
5.  no
6.  SAS for similar triangles
7.  AA for similar triangles
8.  none
9.  none
10.  AA for similar triangles
11.  SSS for similar triangles
12.  Proof

        Statements                                                              Reasons
1.  angle 1 and angle 2 are complementary              Given
     angle 2 and angle 3 are complementary              Given
                                                                               2.  complements of same angle are congruent
                                                                             3.  reflexive
                                                                          4.  AA for similar triangles
                                                                       5.  corr. sides of similar triangles are proportional
                                                                   6.  property of proportions

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