Question

Given: BEBD and AD CE. Prove: AABC is an isosceles triangle. Step 1 Statement BE is congruent BD AD is congruent

CE Reason Given​

Answer 1

ABC is an isosceles triangle because the triangle has two congruent sides.

Steps to prove that ∆ ABC is an isosceles triangle?

To prove that ∆ ABC is an isosceles triangle, the following steps should be taken as follows;

Given;

Line BE≈ line BD

Line AD ≈ line CE

∠BED ≈ ∠BDE . This is because corresponding parts of congruent triangles are congruent too.

∆ADB ≈ ∆ CEB . This obeys the side -angle-side rule.

Line AB ≈ Line BC . This shows transitive property.

Therefore, ABC is an isosceles triangle because the triangle has two congruent sides.