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2 months ago

Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.

Mathematics

1 answer:

Zina [12.3K]2 months ago

6 0

Answer:

Review the explanation

Step-by-step explanation:

The triangles ΔABC and ΔBAD are congruent, establishing:

AB ≅ BA;
AC ≅ BD;
BC ≅ AD;
∠ABC ≅ ∠BAD;
∠BCA ≅ ∠ADB;
∠CAB ≅ ∠DBA.

Now, consider triangles AEC and BED. In these triangles, we have:

AC ≅ BD;
∠EAC ≅ ∠EBD (due to ∠CBA ≅ ∠BAD);
∠AEC ≅ ∠BED (being vertical angles).

Therefore, ΔAEC ≅ ΔBED, which leads to the conclusion that:

AE ≅ EB.

This indicates that line segment CD bisects segment AD.

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Answer:

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Step-by-step explanation:

a) Each strategy is played with a probability of 1/3. Given any strategy, there’s a 1/3 chance that Bill will choose the strategy that allows Ann to win. Consequently, the probability of Ann securing a victory in the first round (or any round) is

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2 months ago

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Answer:

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Blanca's current salary: 55,000

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Isabel's current salary: 63,000

With an annual increase of $2,900, her salary after n years is 63,000 + 2,900n

Setting the two salary equations equal gives:

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Answer:

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Step-by-step explanation:

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1 month ago

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