| |
| |
1. |
Order the steps for writing an indirect proof. |
| |
|
 |
| |
|
A. |
3, 2, 1 |
B. |
1, 2, 3 |
| |
|
C. |
2, 1, 3 |
D. |
2, 3, 1 |
| |
|
Hint |
|
| |
2. |
In   and 
Which inequality shows the relationship between the lengths of
the sides of the triangle? |
| |
|
A. |
GH < HI < GI |
B. |
GH > GI > HI |
| |
|
C. |
GI > GH > HI |
D. |
GH < GI < HI |
| |
|
Hint |
|
| |
3. |
The _______________ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
| |
|
A. |
Definition of a Triangle |
B. |
Triangle Equality Theorem |
| |
|
C. |
Triangle Inequality Theorem |
D. |
Definition of an Inequality |
| |
|
Hint |
|
| |
4. |
If the measures of two sides of a triangle are 3 and 1, between what two numbers must the measure of the third side fall? |
| |
|
A. |
2 and 5 |
B. |
1 and 3 |
| |
|
C. |
2 and 4 |
D. |
1 and 7 |
| |
|
Hint |
|
| |
5. |
Refer to the figure. Which statement is never true? |
| |
|
 |
| |
|
A. |
If DF = 20, FG = 13, and EG = 15, then EF = 11. |
| |
|
B. |
If EG = 6, ED = 8, and  then FG = DF. |
| |
|
C. |
If  is obtuse, then EG > EF. |
| |
|
D. |
If FG = 4, EGDE = 6, then EF < 18. |
| |
|
Hint |
|
| |
6. |
If  , which relationship is true? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
7. |
 CPR has vertices C(15, 1), P(9, 11), and R(2, 1). Determine the coordinates of point A on  so that  is a median of CPR. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
(12, 6) |
| |
|
Hint |
|
| |
8. |
Which statement can be proven using the SSS Inequality Theorem? |
| |
|
 |
| |
|
A. |
CD = AP |
B. |
m PDA < mBAC |
| |
|
C. |
mBAC < mPDA |
D. |
mB > mBCD |
| |
|
Hint |
|
| |
9. |
The __________ is the point of concurrency of the angle bisectors of a triangle. |
| |
|
A. |
incenter |
B. |
orthocenter |
| |
|
C. |
centroid |
D. |
circumcenter |
| |
|
Hint |
|
| |
10. |
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 not coplanar. |
B. |
Points A, B, C, and O are coplanar. |
| |
|
C. |
Points A, B, C, and O are collinear. |
D. |
Points A, B, C, and O form a quadrilateral. |
| |
|
Hint |
|
|
|