Triangle Congruence: SAS

Question 1

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

Revolt · Accepted Answer

A: a reflection only; C: a rotation and a reflection; D: a translation and a reflection

Question 2

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

Revolt · Accepted Answer

B: ∠DFE ≅ ∠ DFG

Question 3

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Revolt · Accepted Answer

A: UV = 14 ft and m∠TUV = 45°; D: ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Question 4

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 5

How can ΔABC be mapped to ΔXYZ?

Revolt · Accepted Answer

A: ✔ X

Question 6

Can ΔTSR and ΔQRS be proven congruent by SAS?

Revolt · Accepted Answer

D: no, because not enough is information given to prove the triangles congruent by SAS

Question 7

Given: C is the midpoint of BD.

Revolt · Accepted Answer

A: ✔ definition of midpoint

Question 8

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

D: vertical angles theorem

Question 9

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

B: ✔ it is given

Question 10

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

B: no, because the corresponding congruent angles listed are not the included angles

Triangle Congruence: SAS Answers

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