Triangle Congruence: SAS

Question 1

Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?

Revolt · Accepted Answer

vertical angles theorem

Question 2

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg: it is given; We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg: DE; We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg: DFE and DEF; We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these seg: DFB and DEC

Question 3

DBDC✔ DE

Revolt · Accepted Answer

✔ DE

Question 4

DCE and DBF✔ DFE and DEFFDC and EDB

Revolt · Accepted Answer

✔ DFE and DEF

Question 5

✔ DFB and DECECD and DBCFDC and EDB

Revolt · Accepted Answer

✔ DFB and DEC

Triangle Congruence: SAS Answers

More from this Course

TRY EDGENUITY HACKS