Answer:
1. Not congruent
2. Not congruent
3. Congruent
4. Congruent
Step-by-step explanation:
Accroding to the options:
1. ΔABC is not congruent to ΔMPN.
As, we can see that the distance between AC and the point B is 5 units. If we rotate ΔABC around the point B downwards and then translate it downwards.
We may obtain ΔMPN but, in ΔMPN the distance between MN and point P is 4 units.
So, ΔABC will not be congruent to ΔMPN.
2. ΔABC is not congruent to ΔEGF.
As, we can see that the distance between AC and the point B is 5 units. If we rotate ΔABC around the point B upward and then translate it downwards.
We may obtain ΔEGF but, in ΔEGF the distance between EF and point G is 4 units.
So, ΔABC is not congruent to ΔEGF.
3. ΔABC is congruent to ΔSTU.
As, we can see that the distance between AC and the point B is 5 units. If we reflect ΔABC around the line AC and then translate it 5 units to left. We obtain ΔSTU.
So, ΔABC is congruent to ΔSTU.
3. ΔEFG is congruent to ΔMNP.
As, we can see that the distance between EF and the point G is 4 units. If we reflect ΔEFG around the line EF and then translate it 4 units to downwards. We obtain ΔMNP.
So, ΔEFG is congruent to ΔMNP.
