49
TAKS Short Course Objective 3 8 th Grade

TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

Embed Size (px)

Citation preview

Page 1: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

TAKS Short CourseObjective 3

8th Grade

Page 2: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

Page 3: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

Which number best represents the scale factor used to change quadrilateral PQRS into quadrilateral WXYZ?

A) B)C) 2 D) 4

1

2

1

4

1. Quadrilateral PQRS was dilated to form quadrilateral WXYZ.

Page 4: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

C) 2 QR = 4

XY = 8

Page 5: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

What scale factor was used to dilate regular

pentagon MNPQR to pentagon TUVWX?

A) 0.4 B) 1.8

C) 2.5 D) 4.2

2. Regular pentagon MNPQR is similar to pentagon TUVWX.

Page 6: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

C) 2.5

0.35.22.1

Page 7: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

3. Mrs. Micelli placed a picture of an equilateral triangle on an overhead projector in her math class. The overhead projector dilated the triangle’s image on the screen by a scale factor of 3.5. If the length of each side of the actual triangle is 5 centimeters, what is the length of each side of the dilated triangle on the screen?

A) 175 cm B) 17.5 cm

C) 8.5 cm D) 3 cm

Page 8: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

B) 17.5 cm

5.1755.3

Page 9: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.6(B) The student is expected to graph dilations, reflections, and translations on a coordinate plane.

Page 10: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

5. Which coordinate grid shows the reflection of polygon PQRSTU across the x-axis?

A

B D)

C)

Page 11: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

D.

Page 12: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

5. A circle with a radius of 3 units has its center at (−4, −2) on a coordinate grid.

If the circle is translated 6 units to the right and 3 units up, what will be the coordinates of the new center?

Page 13: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

A circle with a radius of 3 units has its center at (−4, −2) on a coordinate grid. 6 units to the right and 3 units up

(2,1)

Page 14: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

6. If ∆XYZ is translated 8 units to the left and 3 units down, what are the coordinates of point Y′?

Page 15: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

∆XYZ is translated 8 units to the left and 3 units down, what are the coordinates of point Y′?

(1,2)

Page 16: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

7. PRY is reflected across the y-axis. Which of the following shows this transformation?

Page 17: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

reflected across the y-axis

Page 18: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.7(A) The student is expected to draw three-dimensional figures from different perspectives;

Page 19: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8. The drawings show the top view and the front view of a solid figure built with cubes.

Which drawing shows a 3-dimensional view of the solid figure represented above?

A)

C)

B)

D)

Page 20: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

A)

Page 21: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

9. The picture below shows a toolbox with a black handle.

Which drawing best

represents a top view of the

toolbox?

D)

C)

B)

A)

Page 22: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

D)

Page 23: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

Which drawing best represents a front view of this solid figure?

A)

B)

C)

D)

10. Melody made a solid figure by stacking cubes. The solid figure is shown below.

Page 24: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

A)

Page 25: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.7(B) The student is expected to use geometric concepts and properties to solve problems in fields such as art and architecture;

Page 26: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

11 A bicycle wheel travels about 82 inches in 1 full rotation. What is the diameter of the

wheel, to the nearest inch?

A) 5 inB) 10 inC) 13 inD) 26 in

Page 27: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

d

d

d

d

dC

2614.3

82

82

82 D) 26 in

Page 28: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

12. An architect designed a rectangular room with an area of 925 square feet.

What is the width of the room if the length is 37 feet?

Page 29: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

feet2537

925

Page 30: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

13. A toy truck wheel is shown below

Which is closest to the distance traveled during 2 full rotations of the toy truck wheel?

A) 50.2 cm B) 100.5 cm

C) 200.9 cm D) 401.9 c

Page 31: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

48.100

24.50

14.316

twice

c

c

dc

B) 100.5 cm

Page 32: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

14. Mr. Jones wants to install new countertops on his 2 kitchen counters. The drawing below shows the dimensions of the counters.

What is the least amount of material needed to cover the tops of bothkitchen counters?

A) 54 ft 2 B) 45 ft 2

C) 39 ft 2 D) 6 ft 2

Page 33: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

5 feet

245)23()35()83( feet

B) 45 ft 2

Page 34: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

15. Ivan’s car uses gasoline at an average rate of 20 miles per gallon. He must drive from City 1 to City 2. Use the ruler on the Mathematics Chart to measure the distance from City 1 to City 2 on the map below in inches.

How many gallons of gasoline will Ivan’s car use at this rate when he drives from City 1 to City 2?

Page 35: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

50 gallons

5 inches

5 inches x 200 = 1,000 miles

1,000 divide by 20 = 50

Page 36: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.7(C) The student is expected to use pictures or models to demonstrate the Pythagorean Theorem;

Page 37: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

16. Which figure best represents a triangle with sides a, b, and c in which the relationship is always true?

222 cba

Page 38: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

is always true 222 cba

Page 39: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

17. Line segment d is a diagonal in each polygon shown below. Which drawing shows enough information to find the length of line segment d?

A)

D)C)

B)

Page 40: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

find the length of line segment d

B)

Page 41: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

8.7(D) The student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.

Page 42: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

18. Which ordered pair is located in Quadrant IV?

A) (−2.5, 4.5) B) (0, −2 )

C) (−1.65, −1.55) D) (2 , −11 )

3

41

2

1

2

Page 43: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

A (−2.5, 4.5)

Page 44: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

19. Which graph shows a right triangle with one vertex at coordinates (−2, −4) and another vertex in the first quadrant?

A)

D)C)

B)

Page 45: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

(−2, −4) and another vertex in the first quadrant

A)

Page 46: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

20. A circle with a radius of 6 units is shown below.

What are the coordinates of the center of the circle?

Page 47: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

(-2,2)

Page 48: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

21. Mrs. Weathersbee drew a line and shaded part of the coordinate plane.

Which list is made up of coordinate pairs representing points in the shaded part of the coordinate plane?

A) (3, −4), (−2, 5), and (6, −3)B) (−3, 4), (3, 8), and (−9, −2)C) (−6, 3), (1, 6), and (−2, 1)D) (−3, 5), (3, 1), and (−9, 2)

Page 49: TAKS Short Course Objective 3 8 th Grade. 8.6(A) The student is expected to generate similar figures using dilations including enlargements and reductions;

B) (−3, 4), (3, 8), and (−9, −2)