Tuesday, February 14, 2017

Honors Geometry; 2/14

We took a perfect squares quiz today in class before going over a few more review problems in preparation for the quiz tomorrow.  The students then used the rest of the period to work on their review sheet.  The answers to the review sheet appear below.


Assignment:  Section 8.1 to 8.4 review sheet

Chapter 8 Quiz tomorrow

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

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