Question
Assess parallelograms ADCB and EHGF to decide if they are congruent.
(1 point)
Responses
Yes, ADCB≅EHGF since parallelogram ADCB was translated.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F since parallelogram upper A upper D upper C upper B was translated.
Yes, ADCB≅EHGF because parallelogram ADCB was rotated.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was rotated.
Yes, ADCB≅EHGF because parallelogram ADCB was reflected.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was reflected.
No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
(1 point)
Responses
Yes, ADCB≅EHGF since parallelogram ADCB was translated.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F since parallelogram upper A upper D upper C upper B was translated.
Yes, ADCB≅EHGF because parallelogram ADCB was rotated.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was rotated.
Yes, ADCB≅EHGF because parallelogram ADCB was reflected.
Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was reflected.
No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
Answers
Answer
What two rigid transformations were performed on figure ABCD to produce the congruent figure WXYZ?
(1 point)
Responses
ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° (clockwise).
upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated negative 90 degrees (clockwise).
ABCD was first shifted 3 units to the left and 5 units up, then rotated 90° (counterclockwise).
upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated 90 degrees (counterclockwise).
ABCD was first rotated 90° (counterclockwise), then shifted 3 units to the left and 5 units up.
upper A upper B upper C upper D was first rotated 90 degrees (counterclockwise), then shifted 3 units to the left and 5 units up.
ABCD was first rotated −270° (clockwise), then shifted 3 units to the left and 5 units up.
(1 point)
Responses
ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° (clockwise).
upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated negative 90 degrees (clockwise).
ABCD was first shifted 3 units to the left and 5 units up, then rotated 90° (counterclockwise).
upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated 90 degrees (counterclockwise).
ABCD was first rotated 90° (counterclockwise), then shifted 3 units to the left and 5 units up.
upper A upper B upper C upper D was first rotated 90 degrees (counterclockwise), then shifted 3 units to the left and 5 units up.
ABCD was first rotated −270° (clockwise), then shifted 3 units to the left and 5 units up.
Answer
Determine the congruence transformation used on △ABC that resulted in △DEF.
(1 point)
Responses
△ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.
triangle upper A upper B upper C was reflected across the y -axis, then shifted 2 units to the right and 2 units up.
△ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.
triangle upper A upper B upper C was shifted 2 units to the left and 2 units up, then reflected across the y -axis.
△ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).
triangle upper A upper B upper C was shifted 2 units to the right and 2 units up, then rotated 180 degrees (counterclockwise).
△ABC was rotated −180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up.
(1 point)
Responses
△ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.
triangle upper A upper B upper C was reflected across the y -axis, then shifted 2 units to the right and 2 units up.
△ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.
triangle upper A upper B upper C was shifted 2 units to the left and 2 units up, then reflected across the y -axis.
△ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).
triangle upper A upper B upper C was shifted 2 units to the right and 2 units up, then rotated 180 degrees (counterclockwise).
△ABC was rotated −180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up.
Answer
Identify a sequence of rigid transformations that would map ABCD→A"B"C"D". Give your answer in the form of a composition transformation mapping.
(1 point)
Responses
(x,y)→(−x−4,y)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative x minus 4 comma y right parenthesis
(x,y)→(−x,y−4)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma y minus 4 right parenthesis
(x,y)→(x,y+4)
left parenthesis x comma y right parenthesis right arrow left parenthesis x comma y plus 4 right parenthesis
(x,y)→(x,−y−4)
(1 point)
Responses
(x,y)→(−x−4,y)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative x minus 4 comma y right parenthesis
(x,y)→(−x,y−4)
left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma y minus 4 right parenthesis
(x,y)→(x,y+4)
left parenthesis x comma y right parenthesis right arrow left parenthesis x comma y plus 4 right parenthesis
(x,y)→(x,−y−4)
Answer
Identify the sequence of transformations that will carry ΔABC→ΔA"B"C". Give your answer in the form of a composition transformation mapping.
(1 point)
Responses
(x,y)→(x,−y+4)
left parenthesis x comma y right parenthesis right arrow left parenthesis x comma negative y plus 4 right parenthesis
(x,y)→(x,−y−4)
open paren x comma y close paren rightarrow open paren x comma negative y minus 4 close paren
(x,y)→(x+4,−y)
left parenthesis x comma y right parenthesis right arrow left parenthesis x plus 4 comma negative y right parenthesis
(x,y)→(x−4,−y)
(1 point)
Responses
(x,y)→(x,−y+4)
left parenthesis x comma y right parenthesis right arrow left parenthesis x comma negative y plus 4 right parenthesis
(x,y)→(x,−y−4)
open paren x comma y close paren rightarrow open paren x comma negative y minus 4 close paren
(x,y)→(x+4,−y)
left parenthesis x comma y right parenthesis right arrow left parenthesis x plus 4 comma negative y right parenthesis
(x,y)→(x−4,−y)
Answered by
GPT 3.5
No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
Answered by
GPT 3.5
ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° (clockwise).
Answered by
GPT 3.5
△ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.
Answered by
GPT 3.5
(x,y)→(−x−4,y)
This transformation reflects the figure across the y-axis and then shifts it 4 units to the left.
This transformation reflects the figure across the y-axis and then shifts it 4 units to the left.
Answered by
GPT 3.5
(x,y)→(x−4,−y)
This transformation shifts the figure 4 units to the left and reflects it across the x-axis.
This transformation shifts the figure 4 units to the left and reflects it across the x-axis.
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