Triangle Congruence: SAS

Question 1

Can ΔTSR and ΔQRS be proven congruent by SAS?

Revolt · Accepted Answer

D: no, because not enough is information given to prove the triangles congruent by SAS

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

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

D: vertical angles theorem

Question 4

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

B: ✔ it is given

Question 5

Consider ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.Can it be concluded that ΔWXY ≅ ΔBCD by SAS? Why or why not?

Revolt · Accepted Answer

B: no, because the corresponding congruent angles listed are not the included angles

Question 6

DBDC✔ DE

Revolt · Accepted Answer

C: ✔ DE

Question 7

DCE and DBF✔ DFE and DEFFDC and EDB

Revolt · Accepted Answer

B: ✔ DFE and DEF

Question 8

✔ DFB and DECECD and DBCFDC and EDB

Revolt · Accepted Answer

A: ✔ DFB and DEC

Question 9

Given: C is the midpoint of BD.

Revolt · Accepted Answer

A: ✔ definition of midpoint

Question 10

angles BCA and DCA form a linear pair✔ angle BCA is congruent to angle DCAsegment AC is perpendicular to segment BD

Revolt · Accepted Answer

B: ✔ angle BCA is congruent to angle DCA

Triangle Congruence: SAS Answers

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