| |
| |
1. |
Find the value of x so that    . |
| |
|
 |
| |
|
A. |
11 |
B. |
35 |
| |
|
C. |
19 |
D. |
37 |
| |
|
Hint |
|
| |
2. |
Marty has a piece of rope with exactly 7 knots tied at equal intervals as shown. Using the rope, he wants to make triangles so that each vertex of the triangle occurs at a knot. How many different triangles can Marty make? |
| |
|
 |
| |
|
A. |
1 |
B. |
2 |
| |
|
C. |
3 |
D. |
4 |
| |
|
Hint |
|
| |
3. |
Which of the following is not necessarily true of a rectangle? |
| |
|
A. |
Consecutive angles are supplementary. |
| |
|
B. |
Consecutive sides are congruent. |
| |
|
C. |
Diagonals are congruent and bisect each other. |
| |
|
D. |
All four angles are right angles. |
| |
|
Hint |
|
| |
4. |
 . Find the value of y. |
| |
|
 |
| |
|
A. |
2 |
B. |
1.9 |
| |
|
C. |
1.8 |
D. |
2.2 |
| |
|
Hint |
|
| |
5. |
Find the value of x. |
| |
|
 |
| |
|
A. |
15 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Find the length of the hypotenuse in the triangle below. Round to the nearest tenth. |
| |
|
 |
| |
|
A. |
17.3 cm |
B. |
7.9 cm |
| |
|
C. |
15 cm |
D. |
21 cm |
| |
|
Hint |
|
| |
7. |
Which translation will translate  with vertices A(-2, 3), B(0, -2), and C(-3, -4) to  with vertices A'(-5, 4), B'(-3, -1), and C'(-6, -3)? |
| |
|
A. |
3 units right, 1 unit up |
B. |
3 units right, 1 unit down |
| |
|
C. |
3 units left, 1 unit down |
D. |
3 units left, 1 unit up |
| |
|
Hint |
|
| |
8. |
Two lines intersect at an angle of 62°. What is the angle of rotation? |
| |
|
A. |
248° |
B. |
31° |
| |
|
C. |
124° |
D. |
62° |
| |
|
Hint |
|
| |
9. |
How many other triangles in the figure appear to be congruent to  ABC? |
| |
|
 |
| |
|
A. |
8 |
B. |
4 |
| |
|
C. |
7 |
D. |
3 |
| |
|
Hint |
|
| |
10. |
 is perpendicular to which segment? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
is not necessarily perpendicular to any segment. |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
If  and PM = MQ, which statement is not necessarily true? |
| |
|
 |
| |
|
A. |
ABC is isosceles. |
| |
|
B. |
ABC is equilateral. |
| |
|
C. |
ABC  APQ |
| |
|
D. |
APQ is isosceles. |
| |
|
Hint |
|
| |
12. |
Find m A to the nearest tenth in right triangle ABC for A(1, 5),
B(4, 9), and C(12, 3). |
| |
|
A. |
63.4 |
B. |
65.9 |
| |
|
C. |
2 |
D. |
26.6 |
| |
|
Hint |
|
| |
13. |
Kendra cuts a triangle out of a piece of paper. With a protractor, she measures one of the angles to be 58.3°. Then she uses a ruler to find that the length of the opposite side is 16.5 cm, and the length of one of the other sides is 18.3 cm. To the nearest tenth of a cm, how long is the third side of Kendra's triangle? |
| |
|
A. |
18.1 cm |
B. |
13.6 cm |
| |
|
C. |
15.1 cm |
D. |
18.3 cm |
| |
|
Hint |
|
| |
14. |
Which is not a true statement about rotations? |
| |
|
A. |
A rotation maintains orientation. |
| |
|
B. |
A rotation maintains collinearity. |
| |
|
C. |
A rotation maintains distance measure. |
| |
|
D. |
A rotation maintains angle measure. |
| |
|
Hint |
|
| |
15. |
Solve  |
| |
|
A. |
a = -90 |
B. |
 |
| |
|
C. |
 |
D. |
a = 90 |
| |
|
Hint |
|
| |
16. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
| |
|
 |
| |
|
A. |
If two planes intersect, then their intersection is a line. |
| |
|
B. |
If two lines intersect, then their intersection is exactly one point. |
| |
|
C. |
Through any three points not on the same line, there is exactly one plane. |
| |
|
D. |
Through any two points, there is exactly one line. |
| |
|
Hint |
|
| |
17. |
Which of the following best describes the front and back covers of a notebook when closed? |
| |
|
A. |
a single plane |
B. |
parallel planes |
| |
|
C. |
intersecting planes |
D. |
skew planes |
| |
|
Hint |
|
| |
18. |
What are the coordinates of N? |
| |
|
 |
| |
|
A. |
(0, -3a) |
B. |
(b, 0) |
| |
|
C. |
(3 a, 0) |
D. |
(0, b) |
| |
|
Hint |
|
| |
19. |
State the assumption that could be used to start an indirect proof of the statement Points A, B, C, and O are coplanar. |
| |
|
A. |
Points A, B, C, and O are coplanar. |
B. |
Points A, B, C, and O are not coplanar. |
| |
|
C. |
Points A, B, C, and O are collinear. |
D. |
Points A, B, C, and O form a quadrilateral. |
| |
|
Hint |
|
| |
20. |
What are the coordinates of the intersection of the diagonals of parallelogram WXYZ with vertices W(−1, 2), X(3, 2), Y(5, −1), and Z(1, −1)? |
| |
|
A. |
(−3, 1.5) |
B. |
(2, 0.5) |
| |
|
C. |
(1, 1.5) |
D. |
(−1, 2) |
| |
|
Hint |
|
|