Triangle Congruence: SAS

Question 1

Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

Revolt · Accepted Answer

a reflection only; a rotation and a reflection; a translation and a reflection

Question 2

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

Revolt · Accepted Answer

∠DFE ≅ ∠ DFG

Question 3

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 4

✔ XYZ

Revolt · Accepted Answer

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

Question 5

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 6

translatereflect✔ rotate

Revolt · Accepted Answer

✔ 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

✔ definition of midpointdefinition of segment bisectorreflexive property

Revolt · Accepted Answer

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

Question 9

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 10

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

Triangle Congruence: SAS Answers

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