Congruence: Part Two — Test Answers

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?

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

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

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

Which pair of triangles can be proven congruent by SAS?

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

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

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

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

Could triangle JKL be congruent to triangle XYZ ? Explain.

Which transformation(s) can be used to map triangle RST onto triangle VWX ?

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

Which transformation(s) can map triangle BCD onto triangle WXY ?

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

How can a translation and a reflection be used to map triangle HJK to triangle LMN ?

Which transformation(s) can be used to map one triangle onto the other? Choose two correct answers.

Two rigid transformations are used to map triangle cap A cap b cap c to triangle cap q cap r cap s The first is a translation of vertex cap b to vertex cap r What is the second transformation?

In the diagram, angle cap j is congruent to angle cap m and line segment JL is congruent to line segment MR What additional information is needed to show triangle JKL is congruent to triangle MNR by SAS?

Step 1: We know that angle cap A cap b cap c is congruent to angle cap f cap g cap h because all right angles are congruent. Step 2: We know that angle cap b cap A cap c is congruent to angle cap g cap f cap h because corresponding angles of parallel lines are congruent. Step 3: We know that line segment cap b cap c is congruent to line segment cap g cap h because it is given. Step 4: triangle cap A cap b cap c is congruent to triangle cap f cap g cap h because of the

Which transformation(s) can map triangle MNQ onto triangle PQN ?