Triangle Congruence — Test Answers

Which congruence theorem can be used to prove triangle ABR is congruent to triangle ACR ?

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

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?

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

What is the missing reason in the proof?

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Which pair of triangles can be proven congruent by SAS?

Which congruence theorem can be used to prove triangle ABC is congruent to triangle DBC ?

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

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

What is the missing reason in the proof?

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

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

Which relationship in the diagram is true?

What is the missing reason in the proof? Statements Reasons 1. angle EGF is congruent to angle HGK 1. vert. angle cap s are is congruent to 2. line segment KH is parallel to line segment EF 2. given 3. angle cap f is congruent to angle cap k 3. alt. int. angle cap s are is congruent to 4. cap g is the midpoint of line segment KF 4. given 5. line segment FG is congruent to line segment KG 5. def. of midpt. 6. triangle FEG is congruent to triangle KHG 6. ? 7. line segment HG is congruent to line segment EG 7. CPCTC

Which congruence theorem can be used to prove triangle ABC is congruent to triangle DEC ?

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

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 congruence theorem can be used to prove triangle WXS is congruent to triangle YZS ?