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

How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides and angles.

Revolt · Accepted Answer

Selection 1: X; Selection 2: rotate

Question 5

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 6

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 7

Complete the missing parts of the paragraph proof. 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 segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.

Revolt · Accepted Answer

it is given; Selection 1: it is given; Selection 2: DE; Selection 3: DFE and DEF; Selection 4: DFB and DEC

Question 8

Question 11

Revolt · Accepted Answer

DE

Question 9

Question 12

Revolt · Accepted Answer

DFE and DEF

Question 10

Question 13

Revolt · Accepted Answer

DFB and DEC

Triangle Congruence: SAS Answers

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