1.
In
is the _____.
A.
altitude
B.
median
C.
all of these
D.
perpendicular bisector
Hint
2.
Is
an altitude of
Explain.
A.
No; because
is not a
median of
B.
Yes; because
is a
perpendicular bisector
of
C.
Yes; because
has one
endpoint at vertex and
is perpendicular to
D.
No; because
is
outside
Hint
3.
Which theorem or postulate states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent?
A.
LA Theorem
B.
LL Theorem
C.
HA Theorem
D.
HL Postulate
Hint
4.
Which additional information is needed to prove
by the HA Theorem?
A.
B.
C.
D.
Hint
5.
Which problem-solving strategy is used in indirect proofs?
A.
draw a diagram
B.
guess and check
C.
decision-making
D.
working backward
Hint
6.
The _________ segment from a point to a line or plane is the shortest segment from the point to the line or plane.
A.
integral
B.
perpendicular
C.
consecutive
D.
parallel
Hint
7.
Refer to the figure. Is
longer than
Explain.
A.
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.
B.
Yes; the shortest distance from a point to a line is a perpendicular segment.
C.
All of these.
D.
Yes;
is the hypotenuse of
and
is a leg.
Hint
8.
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain
A.
No; 39 is greater than 13 + 21.
B.
No; 13 is less than 21 + 39.
C.
Yes; the sides of the triangle are not all the same lengths.
D.
Yes; 13 + 21 is less than 39.
Hint
9.
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.
3
B.
2
C.
4
D.
1
Hint
10.
In the figure,
is a median in
and
Which statement is always true?
A.
If
then
RS
<
TS
.
B.
If
then
C.
If
then
is acute.
D.
x
= 12
Hint
11.
a
>
b
means that ___________.
A.
a
=
b
+
c
, for some positive number
c
B.
a
b
C.
a
+ c =
b
, for some positive number
c
D.
a
+
b
= 0
Hint
12.
is a median of
PRS
. Which statement is true?
A.
m
QTS
>
m
QTP
B.
C.
m
QTS
<
m
QTP
D.
PTR
and
STR
are complementary.
Hint