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14-06-2020
Mathematics

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In the accompanying diagram, line BD bisects acute angle ABC and line AD is parallel to line BC. What kind of triangle must triangle ABD be?

In the accompanying diagram line BD bisects acute angle ABC and line AD is parallel to line BC What kind of triangle must triangle ABD be class=

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sqdancefan sqdancefan

15-06-2020

Answer:

isosceles

Step-by-step explanation:

With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.

A triangle with two congruent internal angles is an isosceles triangle.

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