Triangle Congruence — Test

Question 1

Is there a series of rigid transformations that could map triangle QRS to triangle ABC ? If so, which transformations could be used?

Revolt · Accepted Answer

Yes, triangle QRS can be translated so that cap q is mapped to cap A and then reflected across the line containing line segment QS .

Question 2

What is the missing reason in the proof? Statements Reasons 1. line segment SP is congruent to line segment SR 1. given 2. line segment ST perpendicular to line segment PR 2. converse of the perpendicular bisector theorem 3. line segment PT is congruent to line segment RT 3. ? 4. line segment QT perpendicular to line segment PR 4. line segment ST and line segment QT name the same line. 5. line segment QP is congruent to line segment QR 5. perpendicular bisector theorem 6. triangle QPT is congruent to triangle QRT 6. HL theorem

Revolt · Accepted Answer

definition of perpendicular bisector

Question 3

Which rigid transformation(s) can map triangle MNP onto triangle TSR ?

Revolt · Accepted Answer

translation, then reflection

Question 4

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?

Revolt · Accepted Answer

angle cap l cap o cap A is congruent to angle cap l cap m cap A

Question 5

Which relationship in the diagram is true?

Revolt · Accepted Answer

triangle RMS is congruent to triangle RQS by AAS

Triangle Congruence — Test Answers

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