geometry and spatial reasoning

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Geometry and Spatial Reasoning Grade 8 TAKS Objective 3 1

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Geometry and Spatial Reasoning. Grade 8 TAKS Objective 3. Objective 3. The drawing below shows a solid figure built with cubes. How many cubes can be seen from the top view of the figure? 8 6 7 9. Objective 3. Which ordered pair names a point that is definitely NOT on the line? (6, -8) - PowerPoint PPT Presentation

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Geometry and Spatial Reasoning

Grade 8 TAKS Objective 3

1

Objective 31.T

he drawing below shows a solid figure built with cubes. How many cubes can be seen from the top view of the figure?

a) 8b) 6c) 7d) 9

2

Objective 32.W

hich ordered pair names a point that is definitely NOT on the line?

a) (6, -8)b) (-11, -11)c) (5, 5)d) All the above

3

-15

-10

-5

0

5

10

15

-9 -12 5 8 11

Objective 33.S

quare ABCD was dilated to form square PQRS. Which number best represents the scale factor used to change square ABCD to square PQRS?

a) 1/4b) 1/5c) 1/7d) 1/8

4

A B

D 25 in C

P Q

S 5 in R

Objective 34.T

he square of the diagonal of a square is 54 cm2 . What is the length of the side of the square?

a) 2√3 cmb) 3√2 cmc) 3√3 cmd) 3√5 cm

5

Objective 35.A

Circle with a radius of 3 units has its center at (-4, -2) on the coordinate grid. If the radius is translated 5 units to the right and 2 units up, what will be the coordinates of the new center?

a) (2,0)b) (1,0)c) (0,4)d) (5,0)

6

Objective 36. I

f ∆ABC is translated 3 units to the right and 3 units down. What will be the coordinates of the vertex C of the translated triangle?

a) (5, -8)b) (5, -7)c) (4, -8)d) None of the above

7

1, 5-3, 5

2, -5-6

-4

-2

0

2

4

6

-4 -3 -2 -1 0 1 2 3

A B

C

Objective 37.I

f the point (4, -5) is reflected across the x- axis, what will be its new coordinates?

a) (-4, 5)b) (4, -5)c) (4, 5)d) (-4, -5)

8

4, -5

-6

-5

-4

-3

-2

-1

00 1 2 3 4 5

A

Objective 38.A

circle has a radius of 8 inches. The circle is dilated by reducing its radius by 40%. What is the radius of the reduced circle?

a) 4.0 cmb) 4.8 cmc) 4.1 cmd) 4.4 cm

9

Objective 39.W

hich best represents the top view of the 3-Dimensional figure shown below?

10

Objective 3

11

A B

C D

Objective 310.T

he right triangle shown below is drawn with a square adjacent to each side. Which equation represents the relationship between the lengths of the sides of the right triangle?

a) a2 + b2 = c2

b) a2 + c2 = b2

c) b2 + c2 = a2

d) a2 + b2 > c2

12

a cm

b cm

c cm

Objective 311.W

hat will be the area of the shaded region?

a) (l x t ) – (t x t) –(1/2 x p x t)b) (l x l ) – (t x t) –(1/2 x p x t)c) (l x b) – (t x p) –(1/2 x p x t)d) (l x b) – (t x t) –(1/2 x p x t)

13

l cm

b cm

t

p

Objective 312.A

company sells its advertising banners that are 30 ft long by 6 ft wide. For a certain requirement company needs to increase the

length of banner by 40 inches. By how much the width of the banner increase in order to keep the same proportion between the length and the width of the banner?

a) 7 inchesb) 9 inchesc) 8 inchesd) 5 inches

14

Objective 313.A

hexagon with an area of 560 cm2 is dilated by a factor of 2. What is the area of the new hexagon?

a) 280 cm2 b) 250 cm2

c) 40 cm2

d) 46 cm2

15

Objective 314.A

right triangle with leg lengths of 9 and 12 units are dilated by a scale of 2 to produce a new right triangle. What is the perimeter of the new triangle?

a) 22 unitsb) 25 unitsc) 14 unitsd) None of the above

16

Objective 315.T

he dimensions of the triangle are given below. Which is NOT a right triangle?

a) (1, 2, 3)b) (5, 4, 9)c) (1, 1, 3)d) All of the above

17

Objective 316. Δ

DEF is shown on the coordinate grid.

Which set of coordinates best represents a reflection of ΔDEF across the y-axis?

a) (3, 5), (2, 1), (7, 2)b) (−3, −6), (−2, −2),

(−7, −3)c) (3, 6), (2, 2), (7, 3)d) (3, −2), (2, 2), (7, 1)18

Objective 317.T

he top, right, and front views of a figure made of identical cubes are shown below.

Which solid figure best represents these views?

19

Objective 318.M

rs. Jones visited a botanical garden with dimensions of 550 feet by 600 feet. Mrs. Jones plans to create a similar botanical garden in her backyard with dimensions that are 1/50 of the dimensions of the garden she visited. Which dimensions could she use?

a) 275 ft by 300 ftb) 11 ft by 12 ftc) 110 ft by 120 ftd) 11 ft by 600 ft

Objective 319.W

hich figure can be placed along the segment labeled x millimeters to make the model below a correct representation of the Pythagorean Theorem?

Objective 320.W

hich point on the coordinate grid satisfies the conditions x > 4 and y < −1?

a) Point Ab) Point Bc) Point Cd) Point D

Thank You!

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