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Given that BD is the median of abc and that abc is isosceles congruence postulate sss can be used to prove which of the following?

Given that BD is the median of abc and that abc is isosceles congruence postulate sss can be used to prove which of the following class=

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Answer: The correct option is D.

Explanation:

It is given that the triangle ABC is an isosceles triangle. It is also given that the  line BD is the median of triangle ABC.

Since DB is median it means point D divides the line AC in two equal parts.

The The median of an isosceles triangle is always a perpendicular bisector of the opposite side. Since the median is perpendicular on side AC, therefore the sides AB and CB are equal.

In triangle ABD and CBD,

[tex]AB=CB[/tex]         .... (Isosceles triangle)

[tex]AD=CD[/tex]         .... (D is midpoint of AC)

[tex]BD=BD[/tex]         .... (Common Side)

Therefore option D is correct.

The ABC is isosceles congruence postulate sss. It can be used to prove the option D.

The following information should be considered:

  • ABC is an isosceles triangle.
  • The BD should be the median of the triangle ABC.
  • Here point D divides the lines A into 2 equal parts.
  • As the median should be perpendicular for AC so the AB and BC sides are equal.

Therefore we can conclude that the ABC is isosceles congruence postulate sss. It can be used to prove the option D.

Learn more: brainly.com/question/2773823

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