Triangle Congruence: SAS

Question 1

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

Question 2

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

Revolt · Accepted Answer

angle BCA is congruent to angle DCA

Question 3

translatereflect✔ rotate

Revolt · Accepted Answer

✔ rotate

Question 4

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

Revolt · Accepted Answer

✔ angle BCA is congruent to angle DCA

Question 5

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 6

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 7

DBDC✔ DE

Revolt · Accepted Answer

✔ DE

Question 8

DCE and DBF✔ DFE and DEFFDC and EDB

Revolt · Accepted Answer

✔ DFE and DEF

Question 9

✔ DFB and DECECD and DBCFDC and EDB

Revolt · Accepted Answer

✔ DFB and DEC

Triangle Congruence: SAS Answers

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