Geometry Quality Core

Descripción

ACT Geometry Quality Core Questions
Niat Habtemariam
Test por Niat Habtemariam, actualizado hace más de 1 año
Niat Habtemariam
Creado por Niat Habtemariam hace más de 10 años
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12

Resumen del Recurso

Pregunta 1

Pregunta
A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular-shaped garden. How many feet in length are each of the sides of the new square-shaped garden?
Respuesta
  • 7
  • 9
  • 12
  • 5√7
  • 16

Pregunta 2

Pregunta
A rectangular box with a base 2 inches by 6 inches is 10 inches tall and holds 12 ounces of breakfast cereal. The manufacturer wants to use a new box with a base 3 inches by 5 inches. How many inches tall should the new box be in order to hold exactly the same volume as the original box? (Note: The volume of a rectangular box may be calculated by multiplying the area of the base by the height of the box.)
Respuesta
  • 8
  • 9
  • 10
  • 11
  • 12

Pregunta 3

Pregunta
Which is the equation of a line perpendicular to y= \[\frac{3}{2}x+5\]
Respuesta
  • \[y=\frac{3}{2}x+5\]
  • \[y=\frac{-3}{2}x+5\]
  • \[y=\frac{-2}{3}x+5\]
  • \[y=\frac{2}{3}x+5\]

Pregunta 4

Pregunta
A segment has a midpoint at (3,4) and an endpoint at (-2,3). What is the location of the other endpoint?
Respuesta
  • (0.5,3.5)
  • (1,7)
  • (8,5)
  • (-7,2)

Pregunta 5

Pregunta
What definition supports this statement? m∠1 + m∠2 =180º
Respuesta
  • Definition of complementary angles
  • Definition of adjacent angles
  • Definition of supplementary angles
  • Definition of right angles

Pregunta 6

Pregunta
Line n contains (2,3) and is perpendicular to the line
Respuesta
  • \[y=\frac{3}{4}x+ \frac{3}{2}\]
  • \[y=\frac{3}{4}x+ \frac{-1}{4}\]
  • \[y=\frac{-4}{3}x+ \frac{17}{3}\]
  • \[y=\frac{-3}{4}x+ \frac{9}{2}\]

Pregunta 7

Pregunta
At the Healthmart all cashiers walk to work every day, and all employees who walk to work bring their lunch from home. Kari works at Healthmart and buys their lunch at the deli. What can be concluded about Kari?
Respuesta
  • Kari always walks to work.
  • Kari sometimes walks to work.
  • Kari is a cashier.
  • Kari is not a cashier.

Pregunta 8

Pregunta
What is the slope-intercept form of the equation of a line with a y-intercept of -2 and parallel to the line 2x + 3y = 9 ?
Respuesta
  • \[\frac{-2}{3}-2\]
  • \[\frac{-2}{3}+2\]
  • \[\frac{2}{3}-2\]
  • \[\frac{2}{3}+2\]

Pregunta 9

Pregunta
The midpoint of line AC has coordinates (-1,1). Point A has coordinates (-5,3). What is the y-coordinate of point C?
Respuesta
  • 3
  • 2
  • -1
  • -3

Pregunta 10

Pregunta
A 48 foot rope is cut into 5 pieces according to the ratio 2:2:3:4:5. What is the length, in feet, of the longest piece?
Respuesta
  • 3
  • 6
  • 9
  • 15

Pregunta 11

Pregunta
In ΔABC, ∠ABC is a right triangle with AC as the hypotenuse. AC is 8 units long. If AB an BC are equal in length, what is the area in square units of ΔABC.
Respuesta
  • 8
  • 8√2
  • 16
  • 32√2

Pregunta 12

Pregunta
An isometry is a transformation of an object in which the original object and its image are congruent. Which transformation is NOT always an isometry?
Respuesta
  • Dialation
  • Reflection
  • Rotation
  • Translation

Pregunta 13

Pregunta
ΔABC has right angle at B and the measure of ∠BAC is 30º. If AC is 12 long, how many units long is BC?
Respuesta
  • √3
  • 4
  • 6
  • 6√3

Pregunta 14

Pregunta
A triangle is placed on a coordinate grid. The image is transformed according to the rule (x,y) → (x, -y). What is the line of symmetry?
Respuesta
  • x = 0
  • y = 0
  • x = -y
  • y = x

Pregunta 15

Pregunta
A triangle with vertices A(-6,1), B(-3,3), and C(-4,5) is congruent to ΔA'B'C'. The line of symmetry between the two triangles is y= -2. Which rule would transform ΔABC to ΔA'B'C' ?
Respuesta
  • (x,y) → (-x-4,y)
  • (x,y) → (x,y-4)
  • (x,y) → (-x,-y-4)
  • (x,y) → (x,-y-4)

Pregunta 16

Pregunta
The local newspaper sells ads at a constant rate per square inch. A 3-inch x Y-inch ad costs $25. Susan has a budget of $150 to run a 9-inch x 12-inch ad. Can she purchase a 9-inch x 12-inch ad and stay within her budget?
Respuesta
  • Yes, because the ad will cost $75.
  • Yes, because the ad will cost $108.
  • No, because the ad will cost $200.
  • No, because the ad will cost $225.

Pregunta 17

Pregunta
The diagonal of a square measures 12 inches. What is its area, in square inches?
Respuesta
  • 144
  • 72
  • 36
  • 27
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