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

Question 2

Revolt · Accepted Answer

rotate

Question 3

Question 3

Revolt · Accepted Answer

DFE and DEF

Question 4

Question 4

Revolt · Accepted Answer

DFB and DEC

Question 5

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

Revolt · Accepted Answer

∠DFE ≅ ∠ DFG

Question 6

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 7

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

Revolt · Accepted Answer

X; Selection 1: X; Selection 2: rotate

Question 8

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 9

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 10

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

Triangle Congruence: SAS Answers

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