Natalia and Daphne are on the math team. In the last competition, Natalia answered 5 questions more than Daphne, and together th
2 answers:
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The length of a segment is the distance between its endpoints.
- AB and CD are not congruent
- AB does not bisect CD
- CD does not bisect AB
<u>(a) Length of AB</u>
We have:
The length of AB is calculated using the following distance formula
So, we have:
Simplify
<u>(b) Are AB and CD congruent</u>
First, we calculate the length of CD using:
Where:
So, we have:
By comparison
Hence, AB and CD are not congruent
<u>(c) AB bisects CD or not?</u>
If AB bisects CD, then:
The above equation is not true, because:
Hence, AB does not bisect CD
<u>(d) CD bisects AB or not?</u>
If CD bisects AB, then:
The above equation is not true, because:
Hence, CD does not bisect AB
Read more about lengths and bisections at: