Segment AB contains points A, X, Y, and B. X is the midpoint of segment AY, and Y is the midpoint of segment XB. How would you prove that segment AX is congruent to segment YB?

Answer 1

See below.

Let the length of segment #AX# be #x#, length of segment #XY# be #y# and length of segment #YB# be #z#.
Then, since #X# is midpoint of #AY#, #x = y#
Since #Y# is midpoint of #XB#, #y = z#
From both of these equations we derive that, since #x=y# and #y=z#, then #x=z#. So, segments #AX# and #YZ# have the same length. Therefore, they are congruent.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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