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

B Is The Midpoint Of Line AC Which Statement Best Describes The Relationship Between Triangles ABD And CBD class=

Sagot :

KurdishPotato

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

Step-by-step explanation:

AB = CB

AD = CD

and BD is the common side.

The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

What are similar triangles?

"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."

What are congruent triangles?

"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."

What is SSS congruence postulates?

"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."

What is SSS similarity postulates?

"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."

What is SAS similarity postulates?

"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."

What is SAS congruence postulates?

"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."

For given question,

We have been given triangles ABD and CBD.

B is the midpoint of line AC

⇒ AB = BC

For triangles ABD and CBD,

side AB = side CB                   ............(since, B is the midpoint of line AC)

side BD = side BD                   .............(common side)

side AD = side CD                  ............(measures 15 units each)

So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.

Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

The correct answer is option (a)

Learn more about SSS postulate of triangle congruence here:

https://brainly.com/question/1593616

#SPJ2

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