Triangle Congruence: SAS

Question 1

To prove that ΔDEF ≅ ΔDGF by SAS, what additional information is needed?

Revolt · Accepted Answer

∠DFE ≅ ∠ DFG

Question 2

translatereflect✔ rotate

Revolt · Accepted Answer

✔ rotate

Question 3

DCE and DBF✔ DFE and DEFFDC and EDB

Revolt · Accepted Answer

✔ DFE and DEF

Question 4

✔ DFB and DECECD and DBCFDC and EDB

Revolt · Accepted Answer

✔ DFB and DEC

Question 5

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Revolt · Accepted Answer

UV = 14 ft and m∠TUV = 45°; ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Question 6

How can ΔABC be mapped to ΔXYZ?

Revolt · Accepted Answer

✔ X; First, translate vertex A to vertex .: X; Next, ΔABC to align the sides and angles.: rotate

Question 7

Can ΔTSR and ΔQRS be proven congruent by SAS?

Revolt · Accepted Answer

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

Question 8

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 9

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

✔ 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: 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 10

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

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

Triangle Congruence: SAS Answers

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