Geometry; 2/27

We spent some time reviewing combination problems involving special right triangles today as a review for our ch. 8 quiz tomorrow.  We also reviewed how to work with classifying triangles and similarity problems involving right triangles.  We worked 4-5 examples together before getting started on the review sheet.

Chapter 8 Quiz tomorrow.

Assignment:  Ch. 8 quiz review sheet

Similarity in Right Triangles

1.  10
2.  10 radical 2
3.  2 radical 30
4.  2 radical 5 over 5
5.  radical 3 over 3
6.  1/3
7.  12
8.  6
9.  8 radical 3
10.  x = 4;  y = 2 radical 5;  z = 4 radical 5
11.  x = 5 radical 2;  y = 5 radical 6;  z = 5 radical 3
12.  x = 15
13.  x = 12
14.  x = 8 radical 5
15.  x = 20
16.  x = 5 radical 2
17.  x = 10
18.  2.5 meters
19.  3 radical 2 cm
20.  40

Converse of Pythagorean Theorem

1.  acute
2.  obtuse
3.  acute
4.  right
5.  not possible
6.  right
7.  right
8.  obtuse
9.  right
10.  x = 11;  y = 11 radical 2
11.  x = radical 2;  y = 2
12.  x = 5;  y = 5
13.  x = 40;  y = 20 radical 3
14.  x = 3 radical 3;  y = 6 radical 3
15.  x = 4 radical 2
16.  x = 7 radical 3;  y = 60
17.  x = 2 radical 3 over 3;  y = 2 radical 3;  z = 4;  v = 4 radical 3 over 3
18.  8 radical 3
19.  24 radical 2
20.  30

The Pythagorean Theorem and its Converse

1.  5 in
2.  5 miles
3.  8.6 km
4.  14.1 miles
5.  2 radical 14
6.  8 radical 3
7.  2 radical 26
8.  radical 10
9.  right triangle;  225 = 225
10.  right triangle;  256 = 256
11.  acute triangle;  121 < 196
12.  acute triangle;  2352.3 < 2577.3
13.  yes
14.  yes
15.  obtuse
16.  acute
17.  obtuse
18.  right