Honors Geometry; 3/2

We spent the first part of the period going over the homework and answering a number of questions on how to work with special right triangles.  We then reviewed similarity in right triangles and how to set up geometric mean proportions.  The students then got started on their reviews.  The chapter 8 quiz is on Monday, March 5.

Assignment:  Chapter 8 Quiz review WS


Chapter 8 Quiz on Monday, March 5

Test 31

1.  1/6
2.  3 radical 3
3.  4 radical 3
4.  5 radical 3 / 3
5.  radical 7
6.  RQS ;  SQT
7.  a.  ST    b.  RT
8.  8 radical 5
9.  4 radical 5
10.  (8 radical 5) squared +  radical 5) squared = 20 squared
        or 320 + 80 = 400
11.  8
12.  SQ  or  8
13.  In a right triangle, the square of the hypotenuse is equal to the sum of the square of the legs
14.  7
15.  2 radical 3
16.  6 radical 2
17.  5
18.  12 m

Test 32

1.  a.  right      b.  If the square of 1 side of a triangle is = to the sum of the squares of the other 2 sides, then the triangle is a right triangle
2.  obtuse
3.  right
4.  not possible
5.  acute
6.  17 < n < 23
7.  a.  5    b.  5 radical 2
8.  a.  5 radical 2       b.  5 radical 2
9.  a.  6      b.  3 radical 2
10.  j = 7;  k  = 7 radical 3
11.  k = 3 radical 6;  t = 6 radical 2
12.  j = radical 3;  t = 2 radical 3
13.  1 : radical 3 : 2
14.  5 radical 2 / 2
15.  10


Special Right Triangle Practice Sheet

1.  a = 4;  b = 2 radical 2
2.  x = y = 2 radical 2
3.  x = 3;  y = 3 radical 2 over 2
4.  x = 6;  y = 3 radical 2
5.  x = y = 3 radical 2
6.  x = y = 2 radical 3
7.  x = 8 radical 3;  y = 8
8.  u = 4;  v = 2 radical 3
9.  u = 16;  v = 8 radical 3
10.  x = 4 radical 15;  y = 4 radical 5
11.  x = 10;  y = 5
12.  x = 5 radical 3;  y = 5
13.  u = v = 8
14.  x = 8 radical 3;  y = 4 radical 3
15.  a = 3 radical 3 over 2;  b = 3/2
16.  a = 22;  b = 11
17.  a = radical 6;  b = radical 2
18.  m = 7 radical 2 over 2;  n = 7 radical 2 over 2