Question 1

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D' . Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D' ?

Accepted Answer

(x, y ) → (2.5 x, 2.5y)

Answer

(x, y ) → (0.4 x, 0.4y)

Answer

(x, y ) →(x + 3 ,  y + 1.5)

Answer

(x, y ) →(x -1.5 ,  y + 3)

Question 2

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

Accepted Answer

( x, y) →($\frac{8}{3}$x, $\frac{8}{3}$y)

Answer

( x, y) → (x - 5, y - 5)

Answer

( x, y) → (x + 5, y + 5)

Answer

( x, y) →($\frac{3}{8}$x, $\frac{3}{8}$y)

Question 3

A figure is graphed on a coordinate grid as shown. The figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

Accepted Answer

(x, y ) → (− x, −y)

Answer

(x, y ) → (x, −y)

Answer

(x, y ) → ( -x, y)

Answer

( x, y ) → (−  y, −x)

Question 4

The coordinate grid shows parallelogram PQRS. Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram PQRS′. Which rule describes this transformation?

Accepted Answer

(x , y)→ ( y,-x)

Answer

(x , y)→ ( -x, y)

Answer

(x , y)→ ( x, -y)

Answer

(x , y)→ ( y,x)

Question 5

The coordinates of the vertices of a quadrilateral are P (1, 2), R (1, 4), S (3, 4), and T (4, 2). Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T' 
Which rule describes this transformation?

Accepted Answer

(x , y)→ ( -x, y)

Answer

(x , y)→ ( y,-x)

Answer

(x , y)→ ( x, -y)

Answer

(x , y)→ ( -y,x)

Question 6

Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C ′?

Accepted Answer

(x ,y ) → (x +2, y -3)

Answer

(x ,y ) → (2x, - 3y )

Answer

(x ,y ) → (- 3x, 2y )

Answer

(x ,y ) → (x - 3, y + 2)

Question 7

A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?

Accepted Answer

82.45 cm$^3$

Answer

33.93 cm$^3$

Answer

46.38 cm$^3$

Answer

122.15 cm$^3$

Question 8

A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

Accepted Answer

1,335 ft$^3$

Answer

691 ft$^3$

Answer

1,696 ft$^3 $

Answer

534 ft$^3 $

Question 9

A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume of the party hat in cubic inches?

Accepted Answer

84.82 in.$^3$

Answer

1,017.88 in.$^3$

Answer

254.47 in.$^3$

Answer

339.29 in.$^3$

Question 10

Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the storage shed in square feet?

Accepted Answer

336 ft$^2$

Answer

532 ft$^2$

Answer

266 ft$^2$

Answer

784 ft$^2$

Question 11

A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters?

Accepted Answer

144 cm$^2$

Answer

128 cm$^2$

Answer

192 cm$^2$

Answer

152 cm$^2$

Question 12

A cylinder and its dimensions are shown in the diagram. Which measurement is closest to the lateral surface area of the cylinder in square centimeters?

Accepted Answer

287.6 cm$^2$

Answer

398.5 cm$^2$

Answer

575.3 cm$^2$

Answer

604.1 cm$^2$

Question 13

Which measurements could not represent the side lengths of a right triangle?

Accepted Answer

4 cm, 6 cm, 10 cm

Answer

10 cm, 24 cm, 26 cm

Answer

12 cm, 35 cm, 37 cm

Answer

6 cm, 8 cm, 10 cm

Question 14

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below. What is h, the total height in feet of the piece of plywood?
Be sure to use the correct place value.

Accepted Answer

14

Question 15

The diagram below shows the side view of a ramp used to help load and unload a moving van. Which measurement is closest to the length of the ramp in feet?

Accepted Answer

9.5 ft

Answer

13.5 ft

Answer

10.5 ft

Answer

8.5 ft

Question 16

A right triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in centimeters?

Accepted Answer

37.1 cm

Answer

40.8 cm

Answer

27 cm

Answer

51 cm

Question 17

The coordinates of the vertices of the triangle shown are P(2,13),  Q(7,1),  R( 2,1 ). 
What is the length of segment PQ in units? Be sure to use the correct place value.

Accepted Answer

13

Question 18

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′. Which measurement is closest to the distance between point M and point M′ in units?

Accepted Answer

12 units

Answer

9 units

Answer

4 units

Answer

17 units

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