Question
Question 1
(Multiple Choice Worth 1 Points)
(02.01 LC)
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)
Question 2
(Multiple Choice Worth 1 Points)
(02.01 MC)
Trapezoid JKLM is shown on the coordinate plane.
Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 2, 1, at K 1, 1, at L 3, negative 2, at M negative 4, negative 2.
If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x + 1, y − 2) to create trapezoid J″K″L″M″, what is the location of L″?
(−4, 5)
(2, −4)
(7, −7)
(9, −6)
Question 3
(Multiple Choice Worth 1 Points)
(02.01 MC)
triangle ABC in quadrant one with side AB of length 2 units, triangle A prime B prime C prime in quadrant four
Triangle ABC has been reflected over the x-axis to create triangle A′B′C′. Which of the following statements is true?
B′C′ = 2
A′B′ = 2
BC = 2
AC = 2
Question 4
(Multiple Choice Worth 1 Points)
(02.01 MC)
Triangle XYZ is shown on the coordinate plane.
Triangle XYZ on the coordinate plane with ordered pairs at X 4, 5, at Y 5, 3, at Z 1, 3
If triangle XYZ is translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Y″?
(−1, 6)
(2, 1)
(5, −1)
(6, 1)
Question 5
(Multiple Choice Worth 1 Points)
(02.01 LC)
Trapezoid JKLM is shown on the coordinate plane below:
Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 7, negative 2, at K negative 4, negative 2, at L negative 2, negative 5, at M negative 9, negative 5.
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, 3)
(6, −8)
Question 6
(Multiple Choice Worth 1 Points)
(02.01 LC)
Pentagon PQRST and its reflection, pentagon P′Q′R′S′T′, are shown in the coordinate plane below:
Pentagon PQRST and pentagon P prime Q prime R prime S prime T prime on the coordinate plane with ordered pairs at P negative 4, 6, at Q negative 7, 4, at R negative 6, 1, at S negative 2, 1, at T negative 1, 4, at P prime 6, negative 4, at Q prime 4, negative 7, at R prime 1, negative 6, at S prime 1, negative 2, at T prime 4, negative 1.
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
y = x
y = 0
x = 1
x = 0
Question 7
(Multiple Choice Worth 1 Points)
(02.01 MC)
What set of reflections would carry hexagon ABCDEF onto itself?
Hexagon ABCDEF on the coordinate plane with point A at 1, 0, point B at 0, 1, point C at 1, 2, point D at 3, 2, point E at 4, 1, and point F at 3, 0.
y = x, x‒axis, y = x, y-axis
x‒axis, y = x, x‒axis, y = x
y-axis, x‒axis, y-axis
x‒axis, y-axis, y-axis
Question 8
(Multiple Choice Worth 1 Points)
(02.01 MC)
A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(1, −2), C″(0, 3), D″(3, 0)?
(x, y) → (x + 1, y + 1) → (y, x)
(x, y) → (x + 1, y + 1) → (−x, y)
(x, y) → (x, −y) → (x + 2, y + 2)
(x, y) → (−x, y) → (x + 2, y + 2)
Question 9
(Multiple Choice Worth 1 Points)
(02.01 MC)
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 5, negative 2, at B negative 7, negative 3, at C negative 6, negative 6, at D negative 3, negative 5, at E negative 3, negative 3, at A prime 3, 6, at B prime 5, 5, at C prime 4, 2, at D prime 1, 3, at E prime 1, 5.
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Question 10
(Multiple Choice Worth 1 Points)
(02.01 MC)
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′:
Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D are 3, 5, at E 7, 5, at F 8, 2, at G 7, negative 1, at H 3, negative 1, at I 2, 2; at D prime negative 6, 2, at E prime negative 2, 2, at F prime negative 1, negative 1, at G prime negative 2, negative 4, at H prime negative 6, negative 4, at I prime negative 7, negative 1
Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?
(x, y) → (x − 9, y − 3)
(x, y) → (x − 3, y − 9)
(x, y) → (x + 3, y + 3)
(x, y) → (x + 9, y + 9)
(Multiple Choice Worth 1 Points)
(02.01 LC)
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)
Question 2
(Multiple Choice Worth 1 Points)
(02.01 MC)
Trapezoid JKLM is shown on the coordinate plane.
Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 2, 1, at K 1, 1, at L 3, negative 2, at M negative 4, negative 2.
If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x + 1, y − 2) to create trapezoid J″K″L″M″, what is the location of L″?
(−4, 5)
(2, −4)
(7, −7)
(9, −6)
Question 3
(Multiple Choice Worth 1 Points)
(02.01 MC)
triangle ABC in quadrant one with side AB of length 2 units, triangle A prime B prime C prime in quadrant four
Triangle ABC has been reflected over the x-axis to create triangle A′B′C′. Which of the following statements is true?
B′C′ = 2
A′B′ = 2
BC = 2
AC = 2
Question 4
(Multiple Choice Worth 1 Points)
(02.01 MC)
Triangle XYZ is shown on the coordinate plane.
Triangle XYZ on the coordinate plane with ordered pairs at X 4, 5, at Y 5, 3, at Z 1, 3
If triangle XYZ is translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Y″?
(−1, 6)
(2, 1)
(5, −1)
(6, 1)
Question 5
(Multiple Choice Worth 1 Points)
(02.01 LC)
Trapezoid JKLM is shown on the coordinate plane below:
Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 7, negative 2, at K negative 4, negative 2, at L negative 2, negative 5, at M negative 9, negative 5.
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, 3)
(6, −8)
Question 6
(Multiple Choice Worth 1 Points)
(02.01 LC)
Pentagon PQRST and its reflection, pentagon P′Q′R′S′T′, are shown in the coordinate plane below:
Pentagon PQRST and pentagon P prime Q prime R prime S prime T prime on the coordinate plane with ordered pairs at P negative 4, 6, at Q negative 7, 4, at R negative 6, 1, at S negative 2, 1, at T negative 1, 4, at P prime 6, negative 4, at Q prime 4, negative 7, at R prime 1, negative 6, at S prime 1, negative 2, at T prime 4, negative 1.
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
y = x
y = 0
x = 1
x = 0
Question 7
(Multiple Choice Worth 1 Points)
(02.01 MC)
What set of reflections would carry hexagon ABCDEF onto itself?
Hexagon ABCDEF on the coordinate plane with point A at 1, 0, point B at 0, 1, point C at 1, 2, point D at 3, 2, point E at 4, 1, and point F at 3, 0.
y = x, x‒axis, y = x, y-axis
x‒axis, y = x, x‒axis, y = x
y-axis, x‒axis, y-axis
x‒axis, y-axis, y-axis
Question 8
(Multiple Choice Worth 1 Points)
(02.01 MC)
A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(1, −2), C″(0, 3), D″(3, 0)?
(x, y) → (x + 1, y + 1) → (y, x)
(x, y) → (x + 1, y + 1) → (−x, y)
(x, y) → (x, −y) → (x + 2, y + 2)
(x, y) → (−x, y) → (x + 2, y + 2)
Question 9
(Multiple Choice Worth 1 Points)
(02.01 MC)
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 5, negative 2, at B negative 7, negative 3, at C negative 6, negative 6, at D negative 3, negative 5, at E negative 3, negative 3, at A prime 3, 6, at B prime 5, 5, at C prime 4, 2, at D prime 1, 3, at E prime 1, 5.
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Question 10
(Multiple Choice Worth 1 Points)
(02.01 MC)
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′:
Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D are 3, 5, at E 7, 5, at F 8, 2, at G 7, negative 1, at H 3, negative 1, at I 2, 2; at D prime negative 6, 2, at E prime negative 2, 2, at F prime negative 1, negative 1, at G prime negative 2, negative 4, at H prime negative 6, negative 4, at I prime negative 7, negative 1
Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?
(x, y) → (x − 9, y − 3)
(x, y) → (x − 3, y − 9)
(x, y) → (x + 3, y + 3)
(x, y) → (x + 9, y + 9)
Answers
GPT-4o mini
Here are the answers to your questions:
**Question 1:**
Which transformation represents a reflection over the x-axis?
**Answer:** (x, y) → (x , −y)
---
**Question 2:**
Trapezoid JKLM is shown on the coordinate plane. If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x + 1, y − 2) to create trapezoid J″K″L″M″, what is the location of L″?
**Original coordinates of L:** (3, -2)
**First translation:** (3 + 3, -2 - 3) = (6, -5)
**Second translation:** (6 + 1, -5 - 2) = (7, -7)
**Answer:** (7, -7)
---
**Question 3:**
Triangle ABC has been reflected over the x-axis to create triangle A′B′C′. Which of the following statements is true?
**Answer:** BC = 2 (The distance between B and C remains the same even after reflection.)
---
**Question 4:**
If triangle XYZ is translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Y″?
**Original coordinates of Y:** (5, 3)
**First translation:** (5 + 1, 3 - 4) = (6, -1)
**Reflection across x-axis:** (6, -(-1)) = (6, 1)
**Answer:** (6, 1)
---
**Question 5:**
If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L′?
**Original coordinates of L:** (-2, -5)
**Translation:** (-2 + 8, -5 - 3) = (6, -8)
**Answer:** (6, -8)
---
**Question 6:**
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
**Answer:** y = -x (The reflection appears to be across the line y = -x since the coordinates switch signs symmetrically.)
---
**Question 7:**
What set of reflections would carry hexagon ABCDEF onto itself?
**Answer:** y-axis, x-axis, y-axis
---
**Question 8:**
Which transformation would produce an image with vertices B″(1, −2), C″(0, 3), D″(3, 0)?
**Answer:** (x, y) → (−x, y) → (x + 2, y + 2)
---
**Question 9:**
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
**Answer:** Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
---
**Question 10:**
Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?
**Answer:** (x, y) → (x − 9, y − 3)
---
Let me know if you have any further questions or need additional information!
**Question 1:**
Which transformation represents a reflection over the x-axis?
**Answer:** (x, y) → (x , −y)
---
**Question 2:**
Trapezoid JKLM is shown on the coordinate plane. If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x + 1, y − 2) to create trapezoid J″K″L″M″, what is the location of L″?
**Original coordinates of L:** (3, -2)
**First translation:** (3 + 3, -2 - 3) = (6, -5)
**Second translation:** (6 + 1, -5 - 2) = (7, -7)
**Answer:** (7, -7)
---
**Question 3:**
Triangle ABC has been reflected over the x-axis to create triangle A′B′C′. Which of the following statements is true?
**Answer:** BC = 2 (The distance between B and C remains the same even after reflection.)
---
**Question 4:**
If triangle XYZ is translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Y″?
**Original coordinates of Y:** (5, 3)
**First translation:** (5 + 1, 3 - 4) = (6, -1)
**Reflection across x-axis:** (6, -(-1)) = (6, 1)
**Answer:** (6, 1)
---
**Question 5:**
If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L′?
**Original coordinates of L:** (-2, -5)
**Translation:** (-2 + 8, -5 - 3) = (6, -8)
**Answer:** (6, -8)
---
**Question 6:**
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
**Answer:** y = -x (The reflection appears to be across the line y = -x since the coordinates switch signs symmetrically.)
---
**Question 7:**
What set of reflections would carry hexagon ABCDEF onto itself?
**Answer:** y-axis, x-axis, y-axis
---
**Question 8:**
Which transformation would produce an image with vertices B″(1, −2), C″(0, 3), D″(3, 0)?
**Answer:** (x, y) → (−x, y) → (x + 2, y + 2)
---
**Question 9:**
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
**Answer:** Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
---
**Question 10:**
Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?
**Answer:** (x, y) → (x − 9, y − 3)
---
Let me know if you have any further questions or need additional information!