Geometry Quality Core

Question 1 of 17

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A person had a rectangular-shaped garden with sides of lengths 16 m and 9 m.
The garden was changed into a square design with the same area as the original
rectangular-shaped garden. How many metres in length are each of the sides of the new
square-shaped garden?

Select one of the following:

  • 7

  • 9

  • 12

  • 5√7

  • 16

Question 2 of 17

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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.)

Select one of the following:

  • 8

  • 9

  • 10

  • 11

  • 12

Question 3 of 17

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

Select one of the following:

  • \[y=\frac{3}{2}x+5\]

  • \[y=\frac{-3}{2}x+5\]

  • \[y=\frac{-2}{3}x+5\]

  • \[y=\frac{2}{3}x+5\]

Question 4 of 17

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A segment has a midpoint at (3,4) and an endpoint at (-2,3). What is the location of the other endpoint?

Select one of the following:

  • (0.5,3.5)

  • (1,7)

  • (8,5)

  • (-7,2)

Question 5 of 17

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What definition supports this statement? m∠1 + m∠2 =180º

Select one of the following:

  • Definition of complementary angles

  • Definition of adjacent angles

  • Definition of supplementary angles

  • Definition of right angles

Question 6 of 17

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Line n contains (2,3) and is perpendicular to the line

Select one of the following:

  • \[y=\frac{3}{4}x+
    \frac{3}{2}\]

  • \[y=\frac{3}{4}x+
    \frac{-1}{4}\]

  • \[y=\frac{-4}{3}x+
    \frac{17}{3}\]

  • \[y=\frac{-3}{4}x+
    \frac{9}{2}\]

Question 7 of 17

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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?

Select one of the following:

  • Kari always walks to work.

  • Kari sometimes walks to work.

  • Kari is a cashier.

  • Kari is not a cashier.

Question 8 of 17

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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 ?

Select one of the following:

  • \[\frac{-2}{3}-2\]

  • \[\frac{-2}{3}+2\]

  • \[\frac{2}{3}-2\]

  • \[\frac{2}{3}+2\]

Question 9 of 17

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

Select one of the following:

  • 3

  • 2

  • -1

  • -3

Question 10 of 17

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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?

Select one of the following:

  • 3

  • 6

  • 9

  • 15

Question 11 of 17

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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.

Select one of the following:

  • 8

  • 8√2

  • 16

  • 32√2

Question 12 of 17

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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?

Select one of the following:

  • Dialation

  • Reflection

  • Rotation

  • Translation

Question 13 of 17

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ΔABC has right angle at B and the measure of ∠BAC is 30º. If AC is 12 long, how many units long is BC?

Select one of the following:

  • √3

  • 4

  • 6

  • 6√3

Question 14 of 17

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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?

Select one of the following:

  • x = 0

  • y = 0

  • x = -y

  • y = x

Question 15 of 17

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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' ?

Select one of the following:

  • (x,y) → (-x-4,y)

  • (x,y) → (x,y-4)

  • (x,y) → (-x,-y-4)

  • (x,y) → (x,-y-4)

Question 16 of 17

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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?

Select one of the following:

  • 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.

Question 17 of 17

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The diagonal of a square measures 12 inches. What is its area, in square inches?

Select one of the following:

  • 144

  • 72

  • 36

  • 27

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Geometry Quality Core

Tanya Haywood
Quiz by , created about 1 year ago

ACT Geometry Quality Core Questions

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Niat Habtemariam
Created by Niat Habtemariam about 1 year ago
Tanya Haywood
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