Answer
Check Explanation
Explanation
We are told to prove that Triangle AEC is similar to Triangle BED
To prove, we are given steps to follow
Step 1
Statement
E is the midpoint of AB and CD
Reason
Given (this is given in the question)
Step 2
Statement
AE = EB
Reason
E is the midpoint of AB
Step 3
Statement
CE = ED
Reason
E is the midpoint of CD
Step 4
Statement
Angle AEC = Angle BED
Reason
Vertically opposite angles are equal. (These two angles are vertically opposite to each other)
Step 5
Statement
Triangle AEC = Triangle BED
Reason
The SAS rule for similarity explains that if we can prove that two sides and an included angle for two triangles are equal, then the two triangles are similar.
Hope this Helps!!!
