Download CMT Review 7th Grade Packet 8 Classify the angle as acute, right

CMT Review 7th Grade Packet 8
Classify the angle as acute, right, obtuse, or straight.
1. The measure of the angle is 69°.
____
2. Which of the following is an obtuse angle?
a.
b.
c.
d.
Use the figure.
____
3.
a. 90° b. 50° c. 130° d. 70°
4.
____
5. Find the measure of m. (The figure may not be drawn to scale.)
a. 50° b. 140° c. 100° d. 80°
6. Use the diagram below.
a. Write an addition equation that describes the relationship between the angles.
b. Write a subtraction equation that describes the relationship between the angles.
7. Use words and symbols to describe the relationship between the lines.
____
8.
a. 57 b. 75 c. 48 d. 105
9.
Find the values of x and y.
____ 10.
a. 101, 89 b. 121, 79 c. 101, 99 d. 101, 79
Find the value of y.
____ 11.
a. 144 b. 90 c. 124 d. 34
12.
Classify the triangle by its angle measures.
____ 13. 93°, 55°, 32°
a. right b. obtuse c. acute
Classify the triangle by the lengths of its sides.
14.
15. Classify
LMN as equilateral, isosceles, or scalene.
16. The measure of
in the triangle below is 65°.
Which angle measure for
would make
a right triangle?
17. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
What is the value of x?
18. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet.
Find the value of x.
Classify the polygon and tell if it is regular.
____ 19.
a. Trapezoid, not regular b. Parallelogram, not regular c. Trapezoid, regular d. Rhombus, regular
Classify the polygon and tell if it is regular.
____ 20.
a. Hexagon, not regular b. Heptagon, not regular c. Heptagon, regular d. Octagon, regular
____ 21. In parallelogram ABCD, which segment is parallel to
a.
b.
c.
?
d.
22. The figure ABCD is a rhombus.
How many of the other sides of ABCD are congruent to
23.
Describe the similarities and differences between a trapezoid and a parallelogram.
____ 24. Which quadrilateral is a parallelogram?
a.
b.
c.
d.
Tell whether the two polygons are similar. If they are similar, find the ratio of the lengths of the
corresponding sides of figure A to figure B. (Figures not drawn to scale.)
____ 25.
a. Similar,
b. Similar,
c. Not similar d. Similar,
26.
____ 27. Determine which triangle is congruent to the given triangle.
____ 28.
a.
c.
b.
d.
are congruent. What is the perimeter of each triangle? Dimensions are in meters. (The
figures may not be drawn to scale.)
a. 28 m b. 78 m c. 38 m d. 48 m
Find the unknown length x given that the polygons are similar. (Figures not drawn to scale.)
29.
Tell whether each diagram shows a reflection of the original figure across the line.
30.
____ 31. If the figure has rotational symmetry, name each angle of rotation that results in an image that matches the
original figure.
a. 40º, 80º, 120º, 160º, 200º, 240º, 280º, 320º, 360º
240º, 360º d. It has no rotational symmetry.
b. 45º, 90º, 135º, 180º, 225º, 270º, 315º, 360º
c. 120º,
Draw any line(s) of symmetry. Then tell whether the figure has rotational symmetry. If it does, give the
angle(s) and direction of rotation.
32.
____ 33. Trace the figure below and turn it. Does the figure have rotational symmetry? If so, tell how many degrees
you turned it.
a. Yes; 90º b. Yes; 45º c. No d. Yes; 180º
34. Look at the arrangement of the sofa and chair in the room.
Which type of transformation best describes the change in the drawing of the room from the top drawing to
the bottom drawing?
35. How many lines of symmetry does the figure have?
____ 36. Which shows a line of symmetry?
a.
c.
b.
d.
Determine whether the shape has rotational symmetry. If it has rotational symmetry, find all its
rotational symmetries.
37.
38.
39.
Draw the triangle with the given vertices. Then find the coordinates of the vertices of the image after
the specified translation, and draw the image.
40.
Draw the triangle with the given vertices. Then find the coordinates of the vertices of the image after
the specified transformation, and draw the image.
____ 41.
Reflect
in the y-axis.
a. none of these
c.
b.
d.
42. SHORT RESPONSE Write your answer on a separate piece of paper.
Draw the reflection of the figure over the dashed line.
Describe the relationship between the two figures.
43. Graph triangle PQR with
and
Then graph it again after the translation 11
units to the left and 11 units up.
____ 44.
a. 10.174 cm b. 5.652 cm c. 2.826 cm d. 11.304 cm
45. Dorothy ran 3 times around a circular track that has a diameter of 51 meters. Approximately how far did she
run?
and round your answer to the nearest meter.
Find the circumference of the circle.
46.
____ 47. Jon bought a round table with a diameter of 5 feet.
Which number represents the exact circumference of the round table?
a.
b.
c.
d. 15.7 feet
Find the area of the circle.
____ 48.
a.
b.
c.
d.
Find the area of the circle.
____ 49.
a. 7.54385 m2 b. 19.468 m2 c. 120.702 m2 d. 3.77193 m2
____ 50.
a.
51.
b.
c.
d.
____ 52. What is the probability of drawing a red king when drawing a card at random from a deck of 52 playing
cards?
a.
b.
c.
d.
____ 53. The spinner below is divided into equal parts. If you spin the spinner, what is the probability of the pointer
landing on R?
a.
b. 1 c.
d.
____ 54. A group of coins are inside a bag. Find the probability of selecting a nickel out of the bag by only removing
one coin at a time. Each time you select a coin, you mark the coin on the tally chart below, and then put the
coin back in the bag.
a.
b.
c.
d.
55. Use the table showing free throw statistics for three basketball players in the 1999–2000 basketball season.
Suppose that next season each player attempts 120 free throws. Estimate how many free throws each player
will make.
____ 56. Kyra tossed a coin 50 times and got heads 21 times. Based on those results, how many tails would you predict
that Kyra would get if she tossed a coin 100 times?
a. 42 b. 58 c. 79 d. 29
____ 57. A group of coins are inside a bag. Find the probability of selecting a nickel out of the bag by only removing
one coin at a time. Each time you select a coin, you mark the coin on the tally chart below, and then put the
coin back in the bag.
a.
b.
c.
d.
58.
The spinner above is divided into 8 sections of equal area. Jorge spun the spinner 16 times and recorded his
results in the second column.
59. The table shows the batting records for members of a softball team. Use the table to find each experimental
probability.
Player
Number of hits Times at bat
Sherise
9
15
Lena
6
11
Su
15
25
Juanita
21
27
a. the probability that Juanita gets a hit
b. the probability that Su does not get a hit
____ 60. The Venn diagram shows a school with 450 students, some of whom are involved in band, some in sports and
some in both band and sports. Based on the diagram, how many students are involved in NEITHER band nor
sports?
a. 199 students b. 179 students c. 215 students d. 235 students
61. The probability of getting assigned a locker which is next to a classroom door is 6%. What is the probability
of not getting a locker next to a classroom door?
CMT Review VIII
Answer Section
1. ANS:
acute
TOP: Lesson 10.1 Angles
2. ANS: A
TOP: Lesson 10.1 Angles
3. ANS: A
TOP: Lesson 10.1 Angles
4. ANS:
50°
TOP: Lesson 10.1 Angles
5. ANS: A
TOP: Lesson 10.1 Angles
6. ANS:
a.
b.
TOP: Lesson 10.1 Angles
7. ANS:
TOP: Lesson 10.2 Special Pairs of Angles
8. ANS: D
TOP: Lesson 10.3 Triangles
9. ANS:
TOP: Lesson 10.3 Triangles
10. ANS: D
TOP: Lesson 10.3 Triangles
11. ANS: C
TOP: Lesson 10.3 Triangles
12. ANS:
118
TOP: Lesson 10.3 Triangles
13. ANS: B
TOP: Lesson 10.3 Triangles
14. ANS:
isosceles and equilateral triangle
TOP: Lesson 10.3 Triangles
15. ANS:
equilateral
TOP: Lesson 10.3 Triangles
16. ANS:
25
TOP: Lesson 10.3 Triangles
17. ANS:
41
TOP: Lesson 10.3 Triangles
18. ANS:
49
19.
20.
21.
22.
TOP:
ANS:
ANS:
ANS:
ANS:
3
Lesson 10.3 Triangles
B
TOP: Lesson 10.4 Polygons
C
TOP: Lesson 10.4 Polygons
B
TOP: Lesson 10.4 Polygons
TOP: Lesson 10.4 Polygons
23. ANS:
Both trapezoids and parallelograms are quadrilaterals. A trapezoid has only one pair of parallel sides. A
parallelogram has two pairs of parallel sides. Some students may also note that a parallelogram has 2 pairs of
congruent sides, but that a trapezoid may have no congruent sides, 2 congruent sides, or 3 congruent sides.
TOP: Lesson 10.4 Polygons
24. ANS: D
TOP: Lesson 10.4 Polygons
25. ANS: C
TOP: Lesson 10.5 Similar and Congruent Polygons
26. ANS:
Not similar.
TOP: Lesson 10.5 Similar and Congruent Polygons
27. ANS: C
TOP: Lesson 10.5 Similar and Congruent Polygons
28. ANS: A
TOP: Lesson 10.5 Similar and Congruent Polygons
29. ANS:
12 m
TOP: Lesson 10.6 Using Proportions with Similar Polygons
30. ANS:
No
TOP: Lesson 10.7 Transformations and Symmetry
31. ANS: D
TOP: Lesson 10.7 Transformations and Symmetry
32. ANS:
Rotational symmetry: 72°, 144°, 216°, 288° clockwise and counterclockwise
TOP: Lesson 10.7 Transformations and Symmetry
33. ANS: B
TOP: Lesson 10.7 Transformations and Symmetry
34. ANS:
reflection
TOP: Lesson 10.7 Transformations and Symmetry
35. ANS:
4
TOP: Lesson 10.7 Transformations and Symmetry
36. ANS: C
TOP: Lesson 10.7 Transformations and Symmetry
37. ANS:
Yes; 180º
TOP: Lesson 10.7 Transformations and Symmetry
38. ANS:
Yes; 120º, clockwise and counterclockwise
TOP: Lesson 10.7 Transformations and Symmetry
39. ANS:
No.
TOP: Lesson 10.7 Transformations and Symmetry
40. ANS:
TOP: Lesson 10.8 Transformations in the Coordinate Plane
41. ANS: B
TOP: Lesson 10.8 Transformations in the Coordinate Plane
42. ANS:
Part A
Part B The figures are congruent.
TOP: Lesson 10.8 Transformations in the Coordinate Plane
43. ANS:
TOP: Lesson 10.8 Transformations in the Coordinate Plane
44. ANS: B
TOP: Lesson 11.6 Circumference of a Circle
45. ANS:
480 m
TOP: Lesson 11.6 Circumference of a Circle
46. ANS:
88 in.
47.
48.
49.
50.
51.
TOP:
ANS:
ANS:
ANS:
ANS:
ANS:
Lesson 11.6 Circumference of a Circle
C
TOP: Lesson 11.6 Circumference of a Circle
A
TOP: Lesson 11.7 Area of a Circle
A
TOP: Lesson 11.7 Area of a Circle
B
TOP: Lesson 11.7 Area of a Circle
52.
53.
54.
55.
TOP: Lesson 11.7 Area of a Circle
ANS: B
TOP: Lesson 13.1 Introduction to Probability
ANS: A
TOP: Lesson 13.1 Introduction to Probability
ANS: B
TOP: Lesson 13.1 Introduction to Probability
ANS:
Rasheed: 84; Steve: 102; Damon: 101
TOP: Lesson 13.1 Introduction to Probability
56. ANS: B
TOP: Lesson 13.1 Introduction to Probability
57. ANS: C
TOP: Lesson 13.1 Introduction to Probability
58. ANS:
Explanation: Sample answer: Predictions are based on perfect results. You would need to do many more than
16 spins to be close to the prediction.
TOP: Lesson 13.1 Introduction to Probability
59. ANS:
a.
b.
TOP: Lesson 13.5 Disjoint Events
60. ANS: C
TOP: Lesson 13.5 Disjoint Events
61. ANS:
94%
TOP: Lesson 13.5 Disjoint Events