1.
In a triangle, a segment that joins a vertex of the triangle and the midpoint of the opposite side is called the __________.
A.
perpendicular bisector
B.
hypotenuse
C.
altitude
D.
median
Hint
2.
In
is the _____.
A.
median
B.
all of these
C.
perpendicular bisector
D.
altitude
Hint
3.
Refer to the figure. Is
longer than
Explain.
A.
Yes; the shortest distance from a point to a line is a perpendicular segment.
B.
All of these.
C.
Yes; the measure of the angle opposite
is 90 and the measure of the angle opposite
must be less than 90 because the sum of the measures of the angles must be 180.
D.
Yes;
is the hypotenuse of
and
is a leg.
Hint
4.
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain
A.
Yes; 13 + 21 is less than 39.
B.
No; 13 is less than 21 + 39.
C.
No; 39 is greater than 13 + 21.
D.
Yes; the sides of the triangle are not all the same lengths.
Hint
5.
Write an inequality to describe the possible values of
x
.
A.
x
> 20
B.
x
> 17
C.
x
< 20
D.
x
< 17
Hint
6.
Name the property that justifies that if
a
is less than
b
, then
a
cannot be greater than
b
.
A.
Multiplication Property
B.
Subtraction Property
C.
Comparison Property
D.
Transitive Property
Hint
7.
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
A.
15 and 20
B.
5 and 35
C.
10 and 35
D.
10 and 25
Hint
8.
Which statement can be proven using the SSS Inequality Theorem?
A.
m
B
>
m
BCD
B.
CD = AP
C.
m
PDA
<
m
BAC
D.
m
BAC
<
m
PDA
Hint
9.
State the assumption that could be used to start an indirect proof of the statement
If 2n < 6, then n < 3
.
A.
n
< 3
B.
n
> 3
C.
n
= 3
D.
n
3
Hint
10.
What is another name for an indirect proof?
A.
default proof
B.
paragraph proof
C.
proof by assumption
D.
proof by contradiction
Hint