Question

Using the segment addition postulate, which is true?
AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD

Answer 1

1 true
2 true
3 true
4false

Answer 2

The correct option is BC +CD = BD

GIVEN

AB + BC = AD

AB + BC = CD

BC + CD = AD

BC + CD = BD

TO FIND

Which is true according to segment addition potulate.

SOLUTION

We can simply solve the above problem as follows;

According to segment addition postulate, If there is a point 'C' between a line segment AB, Then,

AC + CB = AB

Now,

Option 1; AB + BC = AD

According to segment addition postulate,

AB + BC = AC

Hence, The option is false.

Option 2; AB + BC = CD

According to segment addition postulate;

AB + BC = AC

Hence, The option is false.

option 3; BC + CD = AD

According to segment addition postulate;

BC + CD = BD

Hence, The option is false.

Option 4; BC + CD = BD

According to segment addition postulate;

BC + CD = BD

The option is correct.

Hence, The correct option is BC +CD = BD

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