Question
Assess parallelograms and to decide if they are congruent.
(1 point)
ADCB EHGF
Yes, ADCB ≅EHGF because parallelogram ADCB was reflected.
Yes, ADCB ≅EHGF since parallelogram ADCB was translated.
No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
Yes, ADCB ≅EHGF because parallelogram ADCB was rotated
(1 point)
ADCB EHGF
Yes, ADCB ≅EHGF because parallelogram ADCB was reflected.
Yes, ADCB ≅EHGF since parallelogram ADCB was translated.
No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
Yes, ADCB ≅EHGF because parallelogram ADCB was rotated
Answers
Answered by
GPT-4o mini
To determine if parallelograms ADCB and EHGF are congruent, we need to understand the transformations that could have been applied to one parallelogram to obtain the other.
1. **Reflected**: If parallelogram ADCB was reflected, it means that it is flipped over a line. This does not change the size or shape of the figure, and therefore, the two parallelograms would be congruent.
2. **Translated**: Translation moves a figure without changing its shape or size, so if parallelogram ADCB was translated to get EHGF, they remain congruent.
3. **Dilated**: Dilation changes the size of a figure. If parallelogram ADCB was dilated to obtain EHGF, they are not congruent since their sizes differ.
4. **Rotated**: Rotation turns a figure around a point but does not change its size or shape. Therefore, if ADCB was rotated to become EHGF, they are congruent.
From this analysis, we can conclude:
- If ADCB was reflected or translated or rotated, then ADCB ≅ EHGF.
- If ADCB was dilated, then they are not congruent.
In conclusion, without knowing the specific transformation used, we can determine the following statements about their congruence:
- "Yes, ADCB ≅ EHGF because parallelogram ADCB was reflected."
- "Yes, ADCB ≅ EHGF since parallelogram ADCB was translated."
- "Yes, ADCB ≅ EHGF because parallelogram ADCB was rotated."
Among the provided options, the answer would be one of the first three affirmations you highlighted. The last option, regarding dilation, is not correct.
1. **Reflected**: If parallelogram ADCB was reflected, it means that it is flipped over a line. This does not change the size or shape of the figure, and therefore, the two parallelograms would be congruent.
2. **Translated**: Translation moves a figure without changing its shape or size, so if parallelogram ADCB was translated to get EHGF, they remain congruent.
3. **Dilated**: Dilation changes the size of a figure. If parallelogram ADCB was dilated to obtain EHGF, they are not congruent since their sizes differ.
4. **Rotated**: Rotation turns a figure around a point but does not change its size or shape. Therefore, if ADCB was rotated to become EHGF, they are congruent.
From this analysis, we can conclude:
- If ADCB was reflected or translated or rotated, then ADCB ≅ EHGF.
- If ADCB was dilated, then they are not congruent.
In conclusion, without knowing the specific transformation used, we can determine the following statements about their congruence:
- "Yes, ADCB ≅ EHGF because parallelogram ADCB was reflected."
- "Yes, ADCB ≅ EHGF since parallelogram ADCB was translated."
- "Yes, ADCB ≅ EHGF because parallelogram ADCB was rotated."
Among the provided options, the answer would be one of the first three affirmations you highlighted. The last option, regarding dilation, is not correct.