Prove that if a line is drawn parallel to the base of a triangle, it cuts off a triangle similar to the given triangle. Given: △ ABC,DE|| ABбProve: △ DEC\sim △ ABC

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2022-08-18

Prove that if a line is drawn parallel to the base of a triangle, it cuts off a triangle similar to the given triangle.

Given: ABC,DEAB
Prove:DECABC
PSKStatementsReasons1.(seeabove)1.Given2.2.If two parallel lines are cut by a transversal, then the corresponding angles are equal3.DECABC3.

Answer & Explanation

Tess Pollard

Tess Pollard

Beginner2022-08-19Added 8 answers

Step 1
Given,To prove: DECABC
Step 2

Statements Reasons 

1. ABC,DE  AB - Given 

2.A=CDE and B=DEC - 2. If two parallel lines are cut by a transversal, then the corresponding angles are equal 

3. DEC~ ABC - 3.If two angles of one triangle are equal respectively to two angles of another, then the triangles are ~ilar. (AA)

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