Question

Complete the proof.

Answer 1

Answer:

Step-by-step explanation:

2. Division Property of Equality; which is dividing the equality in 1 by BE*BD

3. Vertical angles; which are ∠ABC and ∠DBE as they are opposite angles

4. SAS Similarity Theorem; as we have two sides in the same ratio and one common angle which prove similarity.

Answer 2

Answers:

Symmetric Property

Opposite Angles

SAS Similarity Theorem

Statement 2:

We are given CB/BE = AB/BD

Symmetric property states if x = y, then y = x. As we can see from the diagram,  CB=AB and BE=BD which proves the property because if we put them in the opposite order, it will remain equal.

Statement 3:

Since we are given ABC = DBE, and they have a common point B/angle measure, they are opposite angles.

Statement 4:

Since both create triangles and ABC = DBE, all side ratios will be the same which proves the SAS similarity theorem that they are the same triangle.

Best of Luck!