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)2D)4 1.Quadrilateral PQRS was dilated to form quadrilateral WXYZ.

C)2 QR = 4 XY = 8

What scale factor was used to dilate regular pentagon MNPQR to pentagon TUVWX? A) 0.4B) 1.8 C)2.5D) Regular pentagon MNPQR is similar to pentagon TUVWX.

C) 2.5

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 cmB)17.5 cm C)8.5 cmD)3 cm

B)17.5 cm

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

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

D.

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?

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)

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

∆XYZ is translated 8 units to the left and 3 units down, what are the coordinates of point Y′? (1,2)

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

reflected across the y-axis

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

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)

A)

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)

D)

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.

A)

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

11A bicycle wheel travels about 82 inches in 1 full rotation. What is the diameter of the wheel, to the nearest inch? A) 5 in B)10 in C)13 in D)26 in

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?

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 cmB)100.5 cm C)200.9 cmD)401.9 c

B)100.5 cm

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 both kitchen counters? A)54 ft 2 B) 45 ft 2 C)39 ft 2 D) 6 ft 2

5 feet B) 45 ft 2

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?

50 gallons 5 inches 5 inches x 200 = 1,000 miles 1,000 divide by 20 = 50

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

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

is always true

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)

find the length of line segment d B)

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

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 )

A (−2.5, 4.5)

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)

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

20.A circle with a radius of 6 units is shown below. What are the coordinates of the center of the circle?

(-2,2)

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)

B) (−3, 4), (3, 8), and (−9, −2)