Geometry; 2/7

We went over the homework from yesterday that dealt with proportional lengths in various figures.  We then did a couple final review problems in getting ready for the test tomorrow.  The main focus was to do one more proof and then also to be able to handle what I call a "shadow" problem.  These types of problem involve making your own sketch based on an explanation from a sentence or two describing a shadow scenario of two objects.

The rest of the time was spent working on the review packet.


Assignment:  Chapter 7 Review Sheet


Postulate for Similar Triangles

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

Theorems for Similar Triangles

1. SSS;  ABC similar to EFD
2.  SAS;  ACS similar to ART
3.  SAS;  ABC similar to DEC
4.  SAS;  PQR similar to SQT
5.  SSS;  JKL similar to PMN
6.  AA;  ROS similar to MTS
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.  6
10.  5
11.  42
12.  20
13.  14
14.  2
15.  10
16.  8

Similar Polygons

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