Download Cumulative Review WS

Cumulative Review WS
1. Which statement is NOT true?
A Parallel lines do not intersect.
B A segment has exactly two endpoints.
C Two planes that do not intersect are always skew.
D A ray has exactly one endpoint.
7. The measures of two supplementary angles are
and
. What is the measure of
the smaller angle?
2. How many different rays can be named using three
collinear points P, Q, and R?
F 1
G 2
H 3
J 4
3. The midpoint of
what is YZ?
is Z. If
and
8. What is the area of a rectangle whose sides measure
2g and
?
,
9. To the nearest whole number, what is the
circumference of a circle whose radius is 12.5?
Use 3.14 for .
4. What is RS?
10. The midpoint of
is
coordinates of W are
. If the
, what are the
coordinates of V?
5. Which is the measure of a straight angle?
11. What is the distance from
to
on
the coordinate plane?
6. What is
?
12. What are the coordinates of the image of
after the translation
13. What transformation maps
A
rotation
B
rotation
C reflection over the x-axis
D reflection over the y-axis
?
to
?
14. Find the next item in the pattern.
2, 8, 18, 32, 50, 72, . . .
15. Which is a counterexample that disproves the conjecture “If
the area of a rectangle is 36 square units, then the perimeter
is less than 36 units”?
A a 6 by 6 rectangle
B a 4 by 9 rectangle
C a 3 by 12 rectangle
D a 2 by 18 rectangle
16. Which conditional statement is true?
F If it is raining outside, then the ground is wet.
G If a person lives in the United States, then the
person lives in Chicago.
H If a number is divisible by 3, then the number is
odd.
J If today is Saturday, then yesterday was Sunday.
17. What is the inverse of the statement “If the key fits, then the
lock opens”?
18. Given: If Maria passes geometry, then she will graduate.
Maria passes geometry.
What can you conclude by the Law of Detachment?
F Maria will take geometry.
G If Maria does not graduate, then she is not taking
geometry.
H If Maria does not take geometry, then she will
graduate.
J Maria will graduate.
19. Given: If all four angles of a parallelogram are right angles,
then the parallelogram is a rectangle. If a parallelogram has
at least one right angle, then all four angles are right.
Which conjecture is valid by the Law of Syllogism?
A If a rectangle has four right angles, then the
rectangle is a parallelogram.
B If a parallelogram has at least one right angle,
then the parallelogram is a rectangle.
C If all four angles of a parallelogram are right
angles, then at least one angle is a right angle.
D If a parallelogram is a rectangle, then the
parallelogram has at least one right angle.
20. Which is a biconditional statement for the given
conditional?
If two coplanar lines do not intersect, then they are
parallel.
F Two coplanar lines intersect if and only if they
are not parallel.
G Two coplanar lines do not intersect if and only if
they are parallel.
H Two coplanar lines are not parallel if and only if
they intersect.
J Two coplanar lines intersect if and only if they
are parallel.
21. Which biconditional statement is true?
A Peter lives in Cincinnati if and only if he lives in
Ohio.
B A rectangle has sides 3 and 5 if and only if its
area is 15.
C Two segments are congruent if and only if they
have the same measure.
D Two angles measure
if and only if they are
supplementary.
22. If
F
G
H
J
and
, why is
Addition Property of Equality
Multiplication Property of Equality
Symmetric Property of Equality
Substitution Property of Equality
23. Which property justifies the statement “If
and
, then
”?
24. What is missing from the proof?
Given:
,
Prove:
is a right angle.
Proof:
F Definition of congruence
G Definition of perpendicular
H Definition of right angle
J
is a right angle.
?
29. If
, which lines must be parallel?
25.
Which pair of angles are corresponding angles?
A
and
B
and
C
and
D
and
A
B
C
D
only
only
only
30. Which angle must be congruent to
?
26.
to prove that
Which completes the statement “Angles 6 and 7 are an
example of ________ angles”?
27. If lines p and q are parallel, what is the value of x?
31. Which inequality must be true, given the
information in the figure?
A
B
C
D
28. If
15
30
45
90
, what are the measures of the given angles?
A
B
C
D
32. In the figure,
x?
. What is the value of
33. What is the slope of the line whose equation is
?
38.
is an isosceles triangle.
side with length
.
=
. Find
.
is the longest
and
=
8 x+ 5
A
34. What is the slope of a line parallel to the graph of
?
B
3 x +9
4x+ 4
C
35. What is an equation of the line in the graph?
39. Daphne folded a triangular sheet of paper into the
shape shown. Find
, given
,
, and m
.
E
D
C
42º
36.
A
61º
22º
B
Classify
and
.
F skew segments
G parallel segments
H perpendicular segments
J parallel planes
37. Prove that the triangles with the given vertices are
congruent.
A(3, 1), B(4, 5), C(2, 3)
D(–1, –3), E(–5, –4), F(–3, –2)
40. One of the acute angles in a right triangle has a
measure of
. What is the measure of the other
acute angle?
41. Find
.
44. Given:
Identify all pairs of congruent corresponding parts.
L
(
A
M
(4x + 7)º
B
(6x - 9)º
C
O
N
118º
K
M
F
N
,
,
G
,
,
,
,
,
,
,
,
,
,
J
,
,
,
H
,
,
,
,
,
42. Find
and
, and
, given
,
45. Given:
,
the midpoint of
.
,
. T is
.
N
R
F
S
D
E
43. Find m
P
, given
M
,
, and m
.
A
B
E
D
C
F
Prove:
T
U