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

Given: C is the midpoint of BD.

Revolt · Accepted Answer

✔ definition of midpoint; ♣:: definition of midpoint; ♦:: angle BCA is congruent to angle DCA

Question 3

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

Triangle Congruence: SAS Answers

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