Week 8: Proving Triangles Similar

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

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

Revolt · Accepted Answer

✔ perpendicular; 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 3

A and D✔ B and EC and F

Revolt · Accepted Answer

✔ B and E

Question 4

✔ congruentsupplementaryvertical

Revolt · Accepted Answer

✔ congruent

Question 5

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

Revolt · Accepted Answer

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

Question 6

✔ SAS similarity theoremSSA similarity theoremSSS similarity theorem

Revolt · Accepted Answer

✔ SAS similarity theorem

Question 7

Is △PQR ~ △EFG?

Revolt · Accepted Answer

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

Question 8

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

Revolt · Accepted Answer

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

Week 8: Proving Triangles Similar Answers

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