Question

B is the midpoint of AC Which statement best describes the relationship between triangles ABD and CBD?

Answer 1

B is the midpoint of AC, so, AB=BC.

Here in Triangle ABD and Triangle CBD, we get,

1) AB=BC

2) BD common

3) Angle ABD= Angle DBC=90°(BD is perpendicular on AC on B point),

Therefore Triangle ABD and Triangle CBD both are congruent by SAS relation.

Answer 2

The statement that best describes the relationship between triangles ABD and CBD is "Triangles ABD and CBD are congruent"

• If B is the midpoint of AC, then the segment BD is congruent to the segment BC. This means that the two triangles, ABD and CBD, are congruent.
• This is because they have a congruent side (BD) and the two angles that include that side (angle BDA and angle BDC) are congruent due to the segment BD being a median of the triangle.
• So, the statement that best describes the relationship between triangles ABD and CBD is "Triangles ABD and CBD are congruent"

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