Triangles δabc ≅ δbad so that c and d lie in the opposite semi-planes of segment ab. prove that segment cd bisects segment ad.

Congruent triangles are triangles with equal corresponding sides.

See below for the required proof

From the question, we have:

The above means that, the following sides are congruent

Similarly, the following angles are corresponding

By vertical angle theorem, we have the following corresponding angles:

Notice that points A and D are common in the above angles

So, we have:

Hence,

Line segment CD bisects line segment AD

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See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

Consider triangles AEC and BED. In these triangles,

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

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step-by-step explanation: