1,084 Answered Questions for the topic ACT Math

12/14/23

Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?
Triangles JKL and MNO are shown in the figure.Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?  Reflect triangle JKL over... more
Follows • 1
Expert Answers •3

12/14/23

What are the coordinates of E' that will justify ∆DEF ~ ∆D'E'F'? 
The transformation of ∆DEF is described in the table. ∆DEF∆D'E'F' D (0, 0) D' (0, 0) E (3, 2) E' (x, y) F (7, 6) F' (14, 12) What are the coordinates of E' that will justify ∆DEF ~... more
Follows • 1
Expert Answers •1

12/01/23

ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′. Select the option that completes the statement:
ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′.Select the option that completes the statement:The triangles' corresponding sides are ________, and their corresponding... more
Follows • 1
Expert Answers •2

12/01/23

Which statement describes the properties of triangles ABC and A″B″C″ after the transformations?
Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A″B″C″ after the... more
Follows • 1
Expert Answers •1

11/30/23

Find the measure of angle x in the figure below:
Find the measure of angle x in the figure below:  35°  47°  51°  62°
Follows • 1
Expert Answers •1

11/30/23

Find the measure of angle x in the figure below:
Find the measure of angle x in the figure below:  65°  70°  110°  125°
Follows • 1
Expert Answers •1

11/29/23

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?  Yes, because 4 + 5 > 8  Yes, because 5 + 8 < 4  No, because 4... more
Follows • 1
Expert Answers •2

11/29/23

Triangle ABC is shown below: Which reason can be used to fill in the numbered blank space?
Triangle ABC is shown below:Given: ΔABCProve: All three angles of ΔABC add up to 180°.The flowchart with missing reason proves the measures of the interior angles of ΔABC total 180°:Which reason... more
Follows • 1
Expert Answers •2

11/29/23

Find the measure of angle x in the figure below:
Find the measure of angle x in the figure below:  60°  50°  110°  70°
Follows • 1
Expert Answers •1

11/29/23

If ΔFGH ≅ ΔIJK, which segment is congruent to FG  ?
If ΔFGH ≅ ΔIJK, which segment is congruent to ?       
Follows • 1
Expert Answers •1

11/29/23

The grid shows Figure Q and its image Figure Q′ after a transformation. Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?
The grid shows Figure Q and its image Figure Q′ after a transformation.Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?  Clockwise rotation... more
Follows • 1
Expert Answers •2

11/29/23

If ΔABC ≅ ΔFDE, which of the following statements is true?
If ΔABC ≅ ΔFDE, which of the following statements is true?  ∠A ≅ ∠E  ∠B ≅ ∠F  ∠A ≅ ∠D  ∠B ≅ ∠D
Follows • 1
Expert Answers •1

11/29/23

What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA?
What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA?   ≅    ≅    ≅    ≅ 
Follows • 1
Expert Answers •1

11/29/23

If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF? 3 3.1 5 5.9
If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF?  3  3.1  5  5.9
Follows • 1
Expert Answers •1

11/29/23

Eden has ensured that one side of both tiles is congruent. Which pair of sides would Eden need to compare in order to make sure the triangles are congruent by HL?
Eden is cutting two triangular tiles for her bathroom. She needs the tiles to be congruent but is not sure she is cutting them that way. Eden has ensured that one side of both tiles is congruent.... more
Follows • 1
Expert Answers •1

11/21/23

Andrew draws a triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?
Andrew draws a triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing? AB = BC  BD = DC  AD =... more
Follows • 2
Expert Answers •1

11/21/23

If triangle ABC is congruent to triangle DEF, what would be the coordinate of F?
If triangle ABC is congruent to triangle DEF, what would be the coordinate of F? (6, 3)  (7, 3)  (6, 4)  (7, 4)
Follows • 1
Expert Answers •2

11/21/23

Are triangles ADC and EBC congruent?
Are triangles ADC and EBC congruent? Yes, by SSS  Yes, by AAS  Yes, by SAS  Not enough information
Follows • 1
Expert Answers •1

11/21/23

If a rotation takes triangle CAT to C′A′T′, what is C′T′?
If a rotation takes triangle CAT to C′A′T′, what is C′T′?  3    5  Cannot be determined
Follows • 1
Expert Answers •1

11/21/23

Rectangle STUV is shown on a coordinate plane. If rectangle STUV is translated using the rule (x, y) → (x − 2, y − 4) and then rotated 90° counterclockwise, what is the location of S″?
If rectangle STUV is translated using the rule (x, y) → (x − 2, y − 4) and then rotated 90° counterclockwise, what is the location of S″? (3, −9) (3, −4) (−2, −4) (−2, −9)
Follows • 1
Expert Answers •2

11/21/23

If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?  (1, −1)  (1, 1)  (−4, −1)  (−4, 1)
Follows • 1
Expert Answers •1

11/21/23

What is the ordered pair of X′ after point X (3, 4) is rotated 180°?
What is the ordered pair of X′ after point X (3, 4) is rotated 180°?  X′ (3, −4)  X′ (−3, −4)  X′ (−4, 3)  X′ (−4, −3)
Follows • 1
Expert Answers •2

11/21/23

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself?
Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto... more
Follows • 1
Expert Answers •1

11/21/23

What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?  Reflected over the x-axis and rotated 180°  Reflected over the y-axis and rotated 180°  Reflected over the x-axis... more
Follows • 1
Expert Answers •1

11/19/23

Which transformation represents a reflection over the x-axis?
Which transformation represents a reflection over the x-axis? (x, y) → (−x, y)  (x, y) → (x , −y)  (x, y) → (y, x)  (x, y) → (−y, x)
Follows • 1
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.