Triangle Similarity: SSS and SAS

Question 1

Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves , what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/7341fc105cd932b59ad232bad223d058.png

Question 2

Is △PQR ~ △EFG?

Revolt · Accepted Answer

Yes, the triangles are similar by the SSS similarity theorem.

Question 3

Given that , complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Revolt · Accepted Answer

Horizontal and vertical lines are .: perpendicular; So, angles are right angles by definition of perpendicular lines.: B and E; All right angles are .: congruent

Question 4

Given: 3AB = 7AD and 3AC = 7AE

Revolt · Accepted Answer

♣:: division property; ♦:: SAS similarity theorem

Question 5

Given: 3AB = 7AD and 3AC = 7AE

Revolt · Accepted Answer

✔ division property; ♣:: division property; ♦:: SAS similarity theorem

Question 6

✔ SAS similarity theoremSSA similarity theoremX SSS similarity theorem

Revolt · Accepted Answer

✔ SAS similarity theorem

Question 7

If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/d1f3f27301de315095c51710f3e65dd4.png

Triangle Similarity: SSS and SAS Answers

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