brosejopl brosejopl
  • 12-06-2017
  • Mathematics
contestada

Which statement is true about the diagram? K is the midpoint of AB. B is the midpoint of KT. AK = BT AB = KT

Which statement is true about the diagram K is the midpoint of AB B is the midpoint of KT AK BT AB KT class=

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hopkinsbailey hopkinsbailey
  • 12-06-2017
K is the midpoint of AB

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frika
frika frika
  • 22-08-2018

From the diagram you can see that

AB=10,

KB=5,

BT=4.

Since AB=AK+KB, you have that 10=AK+5, AK=10-5=5. This means that AK=KB=5 and K is the midpoint of AB (1st option is correct). Also KB=5, BT=4, then B is not the midpoint of KT (2nd option is not true) and KB≠BT.

AK=KB and KB≠BT, then AK≠BT (3rd option is false).

AB=10 and KT=KB+BT=5+4=9, then AB≠KT (4th option is false).

Answer: true is 1st statement.


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