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Question 1

A)(1 point)
Quadrilateral ABCD has been translated $$ units to the right and $$units down. (Make sure answers are positive numbers)
Question 2
A)(1 point)
A regular hexagon has $$ lines of symmetry.
Question 3
A)
Jarvis wants to translate rectangle ABCD horizontally by -4 and vertically by +3 to produce rectangle A’B’C’D’. What will be the coordinates of C’ after Jarvis completes this translation?

(1 point)
( $$,$$)
Question 4
A)
Triangle PQR is reflected over a vertical line of reflection to create TriangleP′Q′R′
. What are the coordinates of point R′
?

(1 point)
Responses

(-3,1)
(-3,1)

(11,1)
(11,1)

(1,-3)
(1,-3)

(-2,7)
(-2,7)
Question 5
A)Point P has the coordinates (4,-2). What are the coordinates of G' after a reflection across the x axis?(4 points)
( $$,$$)
Question 6
A)

For △FUN
, x = -1 is the line of reflection. What are the coordinates for F′
after the reflection?

(1 point)
Responses

(-5,-5)
(-5,-5)

(3,5)
(3,5)

(-1,4)
(-1,4)

(5,-5)
(5,-5)
Question 7
A)

The coordinate point Q
(-2,2) is reflected over the y-axis. Identify the x and y coordinates of Q′

(1 point)
( $$,$$)
Question 8
A)
The point P (-1,2) is rotated to become P′
(2,1). Describe the rotation by degree and direction.



(1 point)
Responses

−90° rotation
−90° rotation

−270° rotation
−270° rotation

90° rotation
90° rotation

180° rotation
180° rotation
Question 9
A)
The point Q(−5,−9)
is rotated -270°
about the origin. Select the location of Q′
.

(1 point)
Responses

(-5,9)
(-5,9)

(9,5)
(9,5)

(5,9)
(5,9)

(9,-5)
(9,-5)
Question 10
A)
Point M (0,4) is rotated about the origin 270 degrees. What are the coordinates of M′

(1 point)
( $$,$$)
Question 11
A)
A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied?

(1 point)
Responses

Option #1
Option #1

Option #2
Option #2

Option #3
Option #3

Option #4
Option #4
Question 12
A)
A circle measures 360 degrees. If this circle were marked with numbers like a clock, every number would represent 30 degrees farther from 0 and closer to 360 degrees. If an angle marker typically found at 11:00 were to rotate to the place normally marked for 4:00, what is the degree measure of the angle formed?

(1 point)
Responses

150 degrees
150 degrees

-150 degrees
-150 degrees

-240 degrees
-240 degrees

240 degrees
240 degrees
Question 13
A)

What type of rigid transformation can map △ABC→△A′B′C′

(1 point)
Responses

a rotation
a rotation

a reflection
a reflection

a translation
a translation

no rigid transformation can make this happen
no rigid transformation can make this happen
Question 14
A)A double reflection of a preimage across perpendicular lines produces the same result as a:(1 point)
Responses

scaled dilation
scaled dilation

270 degree rotation
270 degree rotation

180 degree rotation
180 degree rotation

90 degree rotation
90 degree rotation
Question 15
A)

Which explanation for the congruency of the trapezoids is correct?

(1 point)
Responses

The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).

The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).

The trapezoids are congruent because ABCD was reflected over the line y=x .
The trapezoids are congruent because ABCD was reflected over the line y = x .

The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).

The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).

The trapezoids are congruent because ABCD was translated left 4 units and up 2 units.

The trapezoids are congruent because ABCD was translated left 4 units and up 2 units.
Question 16
A)Triangle ABC has the points A(1,1), B(7,2) and C(5,7). What composition transformation will result in △A"B"C"
being at A" (2 ,-1), B" (-4,0) and C" (-2,5)?(1 point)
Responses

a refection across the x-axis and a move to the left by 3 and down by 2
a refection across the x-axis and a move to the left by 3 and down by 2

a reflection across the y-axis and a move to the right by 3 and down by 2
a reflection across the y-axis and a move to the right by 3 and down by 2

a refletion across the y-axis and a move to the left by 5 and up by 3
a refletion across the y-axis and a move to the left by 5 and up by 3

a rotation of - 270 degrees and a move right by 3 and up by 2
a rotation of - 270 degrees and a move right by 3 and up by 2
Question 17
A)Answer the following questions to summarize the rotations that carry a regular penagon onto itself. (4 points)
A regular pentagon can make $$ turns onto itself before coming around full circle. Each turn would be a multiple of $$ degrees.
B)
a. What are the degrees of the turns that will allow it to turn on itself?



b. Since a regular pentagon can make turns less than 360 degrees onto itself, it has what kind of symmetry?

(2 points)
0 / 10000 Word Limit
Question 18
A)
Triangle QRS has coordinates Q(-8,4), R(-5,8) and S(-3,3). Triangle QRS is transformed by (x,y)→(x+4,y−6)
to produce △Q′R′S′
. Then △Q′R′S′
is transformed by the rule (x,y)→(x+5,y−3)
to produce △Q"R"S"
.

a. The final image, △Q"R"S"
, will be in which quadrant?

b. Create the rule for the composition transformation. example (x+2,y-4)

(4 points)
0 / 10000 Word Limit
Question 19
A)

a. What two transformations were completed to move triangle ABC to triangle XYZ? Include the name of the transformation and by how much. Example- it was Rotated by 180 degrees and reflected over line x=y

b. Are the shapes congruent? How do you know?

1 answer

Here are the answers to the questions presented:

Question 1

A) Quadrilateral ABCD has been translated $$ units to the right and $$ units down. (Make sure answers are positive numbers)

  • No specific numbers were presented. Please provide the units for a complete answer.

Question 2

A) A regular hexagon has 6 lines of symmetry.

Question 3

A) Jarvis wants to translate rectangle ABCD horizontally by -4 and vertically by +3 to produce rectangle A’B’C’D’. What will be the coordinates of C’ after Jarvis completes this translation?

  • If C has coordinates (x, y), then C’ will be (x - 4, y + 3). Please provide specific coordinates for C for a complete answer.

Question 4

A) Triangle PQR is reflected over a vertical line of reflection to create Triangle P′Q′R′. What are the coordinates of point R′?

  • Please provide the coordinates of point R before the reflection for a complete answer.

Question 5

A) Point P has the coordinates (4,-2). What are the coordinates of G' after a reflection across the x-axis?

  • The coordinates of G' will be (4, 2).

Question 6

A) For △FUN, x = -1 is the line of reflection. What are the coordinates for F′ after the reflection?

  • Please provide the coordinates of point F for a complete answer.

Question 7

A) The coordinate point Q (-2,2) is reflected over the y-axis. Identify the x and y coordinates of Q′.

  • The coordinates of Q' will be (2, 2).

Question 8

A) The point P (-1,2) is rotated to become P′ (2,1). Describe the rotation by degree and direction.

  • This is a 90° rotation counterclockwise.

Question 9

A) The point Q(−5,−9) is rotated -270° about the origin. Select the location of Q′.

  • The coordinates of Q' will be (9,-5).

Question 10

A) Point M (0,4) is rotated about the origin 270 degrees. What are the coordinates of M’?

  • The coordinates of M' will be (4, 0).

Question 11

A) A figure is rotated 90 degrees counterclockwise about the origin. Which of the following function mappings was applied?

  • The mapping is (x, y) → (-y, x).

Question 12

A) If an angle marker typically found at 11:00 were to rotate to the place normally marked for 4:00, what is the degree measure of the angle formed?

  • The degree measure is 240 degrees.

Question 13

A) What type of rigid transformation can map △ABC→△A′B′C′?

  • This could be a translation, rotation, or reflection, depending on the specific transformation applied to the points.

Question 14

A) A double reflection of a preimage across perpendicular lines produces the same result as a:

  • 180-degree rotation.

Question 15

A) Which explanation for the congruency of the trapezoids is correct?

  • The trapezoids are congruent because ABCD was translated left 4 units and up 2 units. (Depending on specific analysis, any of the listed options could be correct.)

Question 16

A) What composition transformation will result in △A"B"C" being at A" (2 ,-1), B" (-4,0) and C" (-2,5)?

  • a reflection across the x-axis and a move to the left by 3 and down by 2.

Question 17

A) A regular pentagon can make 5 turns onto itself before coming around full circle. Each turn would be a multiple of 72 degrees. B) a. What are the degrees of the turns that will allow it to turn on itself?

  • The angles are 72 degrees. b. Since a regular pentagon can make turns less than 360 degrees onto itself, it has what kind of symmetry?
  • It has rotational symmetry.

Question 18

A) a. The final image, △Q"R"S", will be in which quadrant?

  • Depends on the coordinates after transformations (not provided). Check the results of the transformations for clarity. b. Create the rule for the composition transformation.
  • The composition transformation rule is (x + 9, y - 9).

Question 19

A) a. What two transformations were completed to move triangle ABC to triangle XYZ?

  • It was reflected over line y=x and translated. (Please provide the amounts for completeness). b. Are the shapes congruent? How do you know?
  • Yes, the shapes are congruent because transformations preserve side lengths and angles.

Please fill in any specific coordinates or values needed for completed answers.