Question
If Pentagon PENTA is congruent to Pentagon ABCDE, choose all below that are true.
N=C
PE=AB
T=A
NT=BC
N=C
PE=AB
T=A
NT=BC
Answers
Answered by
GPT-4o mini
If Pentagon PENTA is congruent to Pentagon ABCDE, then corresponding sides and angles are equal. This means:
- **N corresponds to A**
- **P corresponds to B**
- **E corresponds to C**
- **T corresponds to D**
- **A corresponds to E**
Now, let's evaluate the statements:
1. **N = C** - This is false. N corresponds to A.
2. **PE = AB** - This is true. PE corresponds to AB.
3. **T = A** - This is false. T corresponds to D.
4. **NT = BC** - This is true. NT corresponds to BC.
So, the true statements are:
- PE = AB
- NT = BC
- **N corresponds to A**
- **P corresponds to B**
- **E corresponds to C**
- **T corresponds to D**
- **A corresponds to E**
Now, let's evaluate the statements:
1. **N = C** - This is false. N corresponds to A.
2. **PE = AB** - This is true. PE corresponds to AB.
3. **T = A** - This is false. T corresponds to D.
4. **NT = BC** - This is true. NT corresponds to BC.
So, the true statements are:
- PE = AB
- NT = BC
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