Question

Which of the following statements must be true? Select all that apply.

Answer 1

Step-by-step explanation:

option B is correct because two sides BA and BC are equal so we can say that the triangle ABC is an isosceles triangle.

Answer 2

All the options are true.

• The figure shows that AD = DC, hence BD bisects AC
• The figure shows that AB = BC, hence $\Delta ABC$ is an isosceles triangle
• We already know that BD bisects AC. Moreover, the figure shows that the angle BDC is a right angle. Hence BD is the perpendicular bisector of AC.
• AD is given as 4x, and DC is given as x+9. As AD = DC,
  $4x=x+9\\x=3\\4x=12$
  Hence AD is equal to

Hence all the options are correct.

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