Analyze the diagram below and answer the the question that follows. Which statement is false? A. Angle MNO is congruent to angle OPM by SSS. B. angle MON is congruent to angle OMP by SAS. C. angle MPO is congruent to angle MNO by SAS. D. MO = OM

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  C. triangle MPO is congruent to triangle MNO by SAS

Step-by-step explanation:

Enough information is given in the diagram so that we know ...

  ΔMNO ≅ ΔOPM

by either the SSS or SAS congruence postulates.

What makes statement C false is the fact that the vertices listed are not corresponding vertices.

Additional comment

The wording here is of the form <angle 1> is congruent to <angle 2> by <some triangle congruence postulate>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.

The question is incomplete. Here is the complete question:

Alek went for a walk. D(t) models the distance Alek walked (in kilometers) after t hours. What does the statement D(0.5) < D(1) - D(0.5) mean?

It means that Alex traveled more distance during the second half hour than the first.

Step-by-step explanation:

Given:

The distance traveled by Alex after 't' hours = where 'D' is in km.

D(0.5) < D(1) - D(0.5).

Now, D(0.5) means distance traveled in 0.5 hours = 'x' (Let)

D(1) means distance traveled in 1 hour = 'y' (Let)

Now, D(1) - D(0.5) =

Thus, D(1) - D(0.5) is the difference between the distance traveled after 1 hour and after 0.5 hours.

So, this is nothing but the distance traveled in the second half hour.

Now, it is given that, D(0.5) < D(1) - D(0.5).

So, distance traveled in the first half hour is less than the distance traveled in the next half hour or Alex traveled more distance during the second half hour than the first.