| |
| |
1. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
| |
|
A. |
False; the square root of a positive number is always a positive number. |
| |
|
B. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
| |
|
C. |
False; the square root of 4 is 2 or -2. |
| |
|
D. |
True; two answers are always more accurate than one answer. |
| |
|
Hint |
|
| |
2. |
Find the value of x so the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7). |
| |
|
A. |
4 |
B. |
-3 |
| |
|
C. |
3 |
D. |
5 |
| |
|
Hint |
|
| |
3. |
Find the value of x. |
| |
|
 |
| |
|
A. |
3 |
B. |
9 |
| |
|
C. |
10 |
D. |
8 |
| |
|
Hint |
|
| |
4. |
Refer to the figure shown. What is the longest segment in  |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Quadrilateral EFGH is similar to quadrilateral RSTU. Find the value of y. |
| |
|
 |
| |
|
A. |
71 |
B. |
95 |
| |
|
C. |
114 |
D. |
80 |
| |
|
Hint |
|
| |
6. |
A fractal is_______. |
| |
|
A. |
a geometric figure created using iteration |
B. |
a sum or difference of fractions |
| |
|
C. |
always constructed beginning with a triangle |
D. |
a corner broken from a polygon |
| |
|
Hint |
|
| |
7. |
In the figure, XZ = 12, UV = 8, and  is a diameter. Find the length of a radius of the circle. |
| |
|
 |
| |
|
A. |
 |
B. |
12 |
| |
|
C. |
10 |
D. |
8 |
| |
|
Hint |
|
| |
8. |
Which term describes the tessellation below? |
| |
|
 |
| |
|
A. |
none of these |
B. |
semi-regular |
| |
|
C. |
uniform |
D. |
not uniform |
| |
|
Hint |
|
| |
9. |
Triangle ABC has vertices A(4, 2), B(2, -1), and C(5, -2). The triangle is translated by reflecting it about the graph of x = 2. What are the coordinates of A'? |
| |
|
A. |
(-2, -1) |
B. |
(0, 2) |
| |
|
C. |
(8, 2) |
D. |
(1, -2) |
| |
|
Hint |
|
| |
10. |
Find the coordinate of the midpoint of  |
| |
|
 |
| |
|
A. |
8 |
B. |
-1 |
| |
|
C. |
4 |
D. |
1 |
| |
|
Hint |
|
| |
11. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
| |
|
A. |
The result of doubling 317 is an even number. |
| |
|
B. |
When you triple a number, the result must be an even number. |
| |
|
C. |
The result of doubling 234 is an odd number. |
| |
|
D. |
If you double an odd number, the result is another odd number. |
| |
|
Hint |
|
| |
12. |
For the proof shown, provide statement 3. |
| |
|
 |
| |
|
 |
| |
|
A. |
CD = EF |
B. |
AB = BA |
| |
|
C. |
AB = EF |
D. |
AB = CD |
| |
|
Hint |
|
| |
13. |
 is perpendicular to which segment? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
is not necessarily perpendicular to any segment. |
| |
|
D. |
 |
| |
|
Hint |
|
| |
14. |
If ACDF is a rectangle, what is m AEC? |
| |
|
 |
| |
|
A. |
135° |
B. |
45° |
| |
|
C. |
90° |
D. |
70° |
| |
|
Hint |
|
| |
15. |
Determine how to classify ABCD most precisely for A(-3, -2), B(-2, 2), C(4,  ), and D(3, - ). |
| |
|
A. |
rhombus |
B. |
square |
| |
|
C. |
rectangle |
D. |
parallelogram |
| |
|
Hint |
|
| |
16. |
Find the value of x so that  . |
| |
|
 |
| |
|
A. |
1 |
B. |
2.5 |
| |
|
C. |
1.5 |
D. |
2 |
| |
|
Hint |
|
| |
17. |
The figure shows a quadrilateral circumscribed about a circle. Find the value of x. |
| |
|
 |
| |
|
A. |
32 |
B. |
30 |
| |
|
C. |
34 |
D. |
28 |
| |
|
Hint |
|
| |
18. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
| |
|
A. |
If two angles are not congruent, then they do not have the same measure. |
| |
|
B. |
If two angles do not have the same measure, then they are not congruent. |
| |
|
C. |
If two angles are congruent, then they have the same measure. |
| |
|
D. |
If two angles have the same measure, then they are congruent. |
| |
|
Hint |
|
| |
19. |
Find the area of the figure. Round to the nearest tenth. |
| |
|
 |
| |
|
A. |
261.8 in2 |
B. |
222.6 in2 |
| |
|
C. |
144.0 in2 |
D. |
265.9 in2 |
| |
|
Hint |
|
| |
20. |
Find the surface area of the hemisphere. Round to the nearest tenth. |
| |
|
 |
| |
|
A. |
565.5 m2 |
B. |
226.2 m2 |
| |
|
C. |
339.3 m2 |
D. |
452.4 m2 |
| |
|
Hint |
|
|
|