Can the triangles below be proven similar by the SAS Similarity Postulate?

midtlinjeg 2021-07-31 Answered
Can the triangles below be proven similar by the SAS Similarity Postulate?

Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are proportional, and the included angles by these sides are congruent.
Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are congruent, and the included angles by these sides are congruent.
No, the SAS Similarity Postulate cannot be used because the corresponding angles are congruent but not included by the proportional sides.
No, the SAS Similarity Postulate cannot be used because the 2 sets of corresponding sides are not proportional.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

StrycharzT
Answered 2021-08-01 Author has 102 answers

Step 1
here we have triangles ABC and EDF and if we use the SAS similarity postulate we have to make sure to use any two sides and one angle from each triangle respectively such as
ABED=BCDF and B=D
or
ABDF=BCED and B=D
Step 2
using either of any two ratios we get
65=92 and B=D=67
but 1.24.5
or
62=95 and B=D=67
but 31.8
Step 3
so, we can see that neither of them is satisfying the SAS rule as their corresponding angles are equal but their corresponding sides are not proportional.
therefore, the correct option is D

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more