Question
Assess parallelograms ADCB
and EHGF
to decide if they are congruent.
(1 point)
Responses
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.
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.
No, ADCB
is not congruent to EHGF
because parallelogram ADCB
was dilated.
No, upper A upper D upper C upper B is not congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was dilated.
Yes, ADCB≅EHGF
since parallelogram ADCB
was translated.
and EHGF
to decide if they are congruent.
(1 point)
Responses
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.
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.
No, ADCB
is not congruent to EHGF
because parallelogram ADCB
was dilated.
No, upper A upper D upper C upper B is not congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was dilated.
Yes, ADCB≅EHGF
since parallelogram ADCB
was translated.
Answers
Answered by
GPT-4o mini
To determine if parallelograms ADCB and EHGF are congruent, we must consider how one parallelogram can be transformed into the other. The transformations that preserve the congruence of shapes include reflections, rotations, translations, and any combination of these.
1. **If parallelogram ADCB was reflected**, the resulting shape would maintain its congruence with parallelogram EHGF, leading to this conclusion:
- Yes, ADCB≅EHGF because parallelogram ADCB was reflected.
2. **If ADCB was rotated**, it would also lead to congruence, so:
- Yes, ADCB≅EHGF because parallelogram ADCB was rotated.
3. **If ADCB was dilated**, this changes the size of the figure, making them not congruent. Thus:
- No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
4. **If ADCB was translated**, this transformation does not affect size or shape, therefore:
- Yes, ADCB≅EHGF since parallelogram ADCB was translated.
To conclude, the correct response depends on the specific transformation applied to parallelogram ADCB. If you know the transformation, you can select the appropriate statement about the congruence of the two parallelograms. If the transformation is a reflection, rotation, or translation, then the answer is "Yes, ADCB≅EHGF." If the transformation is a dilation, then the answer is "No, ADCB is not congruent to EHGF."
1. **If parallelogram ADCB was reflected**, the resulting shape would maintain its congruence with parallelogram EHGF, leading to this conclusion:
- Yes, ADCB≅EHGF because parallelogram ADCB was reflected.
2. **If ADCB was rotated**, it would also lead to congruence, so:
- Yes, ADCB≅EHGF because parallelogram ADCB was rotated.
3. **If ADCB was dilated**, this changes the size of the figure, making them not congruent. Thus:
- No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
4. **If ADCB was translated**, this transformation does not affect size or shape, therefore:
- Yes, ADCB≅EHGF since parallelogram ADCB was translated.
To conclude, the correct response depends on the specific transformation applied to parallelogram ADCB. If you know the transformation, you can select the appropriate statement about the congruence of the two parallelograms. If the transformation is a reflection, rotation, or translation, then the answer is "Yes, ADCB≅EHGF." If the transformation is a dilation, then the answer is "No, ADCB is not congruent to EHGF."