1,084 Answered Questions for the topic ACT Math

11/19/23

Trapezoid JKLM is shown on the coordinate plane below:
Trapezoid JKLM is shown on the coordinate plane below:If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L′? (1, −5)  (−10, 6)  (−5,... more
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11/19/23

What set of reflections would carry hexagon ABCDEF onto itself?
What set of reflections would carry hexagon ABCDEF onto itself?  x‒axis, y = x, x‒axis, y = x  y = x, x‒axis, y = x, y-axis  y-axis, x‒axis, y-axis  x‒axis, y-axis, y-axis
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11/19/23

A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(−2, 1), C″(3, 2), D″(0, −1)?
A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B''(−2, 1), C''(3, 2), D''(0, −1)? (x, y) → (x, −y) → (x + 1, y + 1)  (x, y) →... more
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11/19/23

Which of the following explains the relationship between angles C and D?
Which of the following explains the relationship between angles C and D?  Adjacent angles  Corresponding angles  Complementary angles  Vertical angles
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11/19/23

Ian is bisecting line segment CD. First, Ian places the compass on point D and opens it to a width larger than half of the segment. What is the next step?
Ian is bisecting line segment CD. First, Ian places the compass on point D and opens it to a width larger than half of the segment. What is the next step? Create a point that is not on segment... more
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11/19/23

Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle MAT?
Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle MAT?  Angle CAM and angle MAT are supplementary angles that sum to 180°.  Angle CAM and angle MAT... more
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11/19/23

Determine if the statements are true or false and if they have the same meaning.
Read the following statements:Statement 1: If it has exactly two sides, then it is a polygon.Statement 2: If it is not a polygon, then it does not have exactly two sides.Determine if the statements... more
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11/19/23

What is the inverse of the following conditional statement? "If the figure is a triangle, then the figure has three sides."
What is the inverse of the following conditional statement?"If the figure is a triangle, then the figure has three sides." If the figure has three sides, then the figure is a triangle.  If the... more
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11/17/23

Meg constructed triangle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:
Meg constructed triangle POQ and then used a compass and straightedge to accurately construct line segment OSWhich could be the measures of angle POS and angle POQ?
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Act Math Math Geometry

11/17/23

What is the inverse of the following conditional statement? "If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle."
What is the inverse of the following conditional statement?"If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle." If the polygon is a triangle, then the sum of... more
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11/17/23

Which of the following explains the relationship between angles A and B?
Which of the following explains the relationship between angles A and B? Adjacent angles  Corresponding angles  Complementary angles  Vertical angles
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11/17/23

What is the next step?
Ian is bisecting line segment CD. First, Ian places the compass on endpoint C and opens it to a width larger than half of the segment. Then, Ian swings an arc on both sides of line segment CD. What... more
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11/17/23

Give a counterexample to disprove the following statement. "If the polygon is a quadrilateral, then it has two pairs of congruent sides."
Give a counterexample to disprove the following statement."If the polygon is a quadrilateral, then it has two pairs of congruent sides." Trapezoid  Rectangle  Parallelogram  Kite
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11/17/23

Lines AC and BD intersect at point O. If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC?
Lines AC and BD intersect at point O.If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC? 6°  53°  89°  106°
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11/17/23

The figure shown has two parallel lines cut by a transversal: Which angle is an alternate exterior angle to ∠7?
The figure shown has two parallel lines cut by a transversal:Which angle is an alternate exterior angle to ∠7? ∠2  ∠1  ∠5  ∠8
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11/17/23

A pair of parallel lines is cut by a transversal. If m∠A = (5x − 4)° and m∠B = (8x − 28)°, what is the value of x?
A pair of parallel lines is cut by a transversal.If m∠A = (5x − 4)° and m∠B = (8x − 28)°, what is the value of x? 8  9.4  16.3  36
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11/17/23

Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.
Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.If m∠AOB = (6x − 5)° and m∠BOD = (9x + 17)°, what is the value of x? 117.8  62.2  11.2  7.3
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11/16/23

If m∠ABC = 70°, what is m∠ABD? Justify your reasoning.
https://cdn.flvs.net/assessment_images/educator_geometry_v22/01_06_q25_flvs.pngIf m∠ABC = 70°, what is m∠ABD? Justify your reasoning.Using the addition property of equality,40+70=110,so... more
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11/16/23

What property would justify the following statement? If a = b and b = c, then a = c.
What property would justify the following statement?If a = b and b = c, then a = c.  Addition Property  Reflexive Property  Subtraction Property  Transitive Property
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11/16/23

Larissa is standing at point L, Paige is standing at point P, and Raelynn is standing at point R on segment LR, as shown in the figure. If LP = 15 and PR = 9, find LR. Explain.
Larissa is standing at point L, Paige is standing at point P, and Raelynn is standing at point R on segment LR, as shown in the figure.If LP = 15 and PR = 9, find LR. Explain. LR = 24 because 15 +... more
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11/16/23

Premise 1: All geckos are lizards. Premise 2: All lizards are reptiles. Which of the following is a valid conclusion for the two premises?
Premise 1: All geckos are lizards.Premise 2: All lizards are reptiles.Which of the following is a valid conclusion for the two premises? Therefore, all reptiles are lizards.  Therefore, all lizards... more
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11/16/23

What is the converse of the following statement? "If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle."
What is the converse of the following statement?"If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle." If the polygon is a triangle, then the sum of the interior... more
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11/16/23

What is the contrapositive of the following statement? "If there is rain, then the dog will not bark."
What is the contrapositive of the following statement?"If there is rain, then the dog will not bark." If the dog will bark, then there is no rain.  If there is no rain, then the dog will not... more
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11/16/23

What is the biconditional statement of the following conditional statement? "If a polygon has five sides, it is a pentagon."
What is the biconditional statement of the following conditional statement?"If a polygon has five sides, it is a pentagon." If a polygon does not have five sides, then it is not a pentagon.  If a... more
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11/16/23

Which is a counterexample of the following conditional? "If a number is divisible by five, then it is even." 30  25  20  18
Which is a counterexample of the following conditional?"If a number is divisible by five, then it is even." 30  25  20  18
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