Congruence: Part Two - Test Test

Question 1

Two rigid transformations are used to map triangle cap j cap k cap l to triangle cap m cap n cap q The first is a translation of vertex caps l to vertex cap q What is the second transformation?

Revolt · Accepted Answer

D: a rotation about point  caps l

Question 2

Step 1: We know that angle cap t cap s cap r is congruent to angle cap q cap r cap s because all right angles are congruent. Step 2: We know that angle cap t is congruent to angle cap q because it is given. Step 3: We know that line segment cap s cap r is congruent to line segment cap r cap s because of the reflexive property. Step 4: triangle cap t cap s cap r is congruent to triangle cap q cap r cap s because

Revolt · Accepted Answer

B: of the AAS congruence theorem.

Question 3

Which transformation(s) can map triangle PQR onto triangle STU ?

Revolt · Accepted Answer

D: reflection, then translation

Question 4

Which rigid transformation would map triangle cap m cap z cap k to triangle cap q cap z cap k ?

Revolt · Accepted Answer

B: a reflection across the line containing  line segment cap z cap k

Question 5

Which pair of triangles can be proven congruent by SAS?

Revolt · Accepted Answer

B: Image with description A triangle has no labels. A perpendicular bisector is drawn from the vertex to the opposite base and divides the base into 2 equal halves, so 2 identical triangles are formed.

Question 6

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

B: 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 7

Which rigid transformation(s) can map triangle ABC onto triangle FED ?

Revolt · Accepted Answer

D: reflection, then translation

Question 8

Which rigid transformation(s) can map triangle ABC onto triangle DEC ?

Revolt · Accepted Answer

B: reflection, then rotation

Question 9

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

Revolt · Accepted Answer

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

Question 10

Could triangle JKL be congruent to triangle XYZ ? Explain.

Revolt · Accepted Answer

B: No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Congruence: Part Two - Test Test Answers

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