Geometry; 1/28

We reviewed a few more test problems today together before the students spent most of the period working on the chapter 7 review packet.  The answers to this packet appear below.  The chapter 7 test is tomorrow in class.


Assignment:  Chapter 7 review packet


Answers to review packet

A Postulate for Similar Triangles

1.  KAS
2.  AC
3.  ARC
4.  AR
5.  similar, AA
6.  not similar
7.  similar, AA
8.  similar, AA
9.  not similar
10.  similar, AA
11.  x = 10.4;  y = 9
12.  x = 6.4;  y = 2.5
13.  x = 16;  y = 20

Theorems for Similar Triangles

1.  triangle ABC similar to triangle EFD  ;  SSS
2.  triangle ACS similar to triangle ART  ;  SAS
3.  triangle ABC similar to triangle DEC  ;  SAS
4.  triangle PQR similar to triangle SQT  ;  SAS
5.  triangle JKL similar to triangle PMN  ;  SSS
6.  triangle ROS similar to triangle MTS  ;  AA
7.  yes
8.  a.  SNU;    b.  1:3
9.  no

Proportional Lengths

1.  yes
2.  no
3.  yes
4.  no
5.  no
6.  yes
7.  yes
8.  no
9.  x = 6
10.  x = 5
11.  x = 42
12.  x = 20
13.  x = 14
14.  x = 2
15.  x = 10
16.  x = 8

Similar Polygons

1.  x / 4y
2.  a / 5
3.  1 / 4
4.  8
5.  5 / 4
6.  x = 4
7.  x = 7.5
8.  x = 16;  y = 15
9.  x = 25;  y = 13.5
10.  triangle ABC similar to triangle EFD  ;  AA
11.  triangle ABE similar to triangle CBD  ;  SAS
12.  triangle ABC similar to triangle DFE  ;  SSS
13.  x = 4.2
14.  x = 14.4
15.  x = 4