Mr.Woods' Math Class - Home
UNIT 4 – TRIANGLE CONGRUENCY REVIEWName: _____________________________________Date: ______________Period: _____________40430737040001. In the diagram to the right, ?ABC??XYZ. Which two statements identify corresponding congruent parts for these triangles?(1) AB?XY and ∠C?∠Y(2) AB?YZ and ∠C?∠X(3) BC?XY and ∠A?∠Y(4) BC?YZ and ∠A?∠X2. Which statement is sufficient evidence that ?DEF is congruent to ?ABC?-2818817907000(1) AB=DE and BC=EF(2) ∠D?∠A, ∠B?∠E, ∠C?∠F(3) There is a sequence of rigid motions that maps AB onto DE, BC onto EF, and AC onto DF.(4) There is a sequence of rigid motions that maps point A onto point D, AB onto DE, and ∠B onto ∠E.3. As shown in the diagram below, AC bisects ∠BAD and ∠B?∠D. 1307278705000Which triangle congruence criteria could be used to prove ?ABC??ADC?4. In the diagram below of ?AGE and ?OLD, ∠GAE?∠LOD, and AE?OD. left764800To prove that ?AGE and ?OLD are congruent by SAS, what other information is needed?5. In the diagram of ?ABC and ?DEF below, AB?DE, ∠A?∠D, and ∠B?∠E. left698500Which triangle congruence criteria can be used to prove ?ABC??DEF?6. In the diagram below of ?DAE and ?BCE, AB and CD intersect at E, such that AE?CE and ∠BCE?∠DAE.-679458318500Triangle DAE can be proved congruent to triangle BCE by which triangle congruence criteria?7. For each of the following questions: a. Mark your diagram according to the given and any additional markings that could be supported with a valid reason to show triangle congruence. b. Determine the congruence criteria used to prove the triangles congruent c. State the rigid motion which maps the triangles onto each other.33638719422800Given: AD bisects BC at E AB⊥BC DC⊥BCCongruence Criteria: ______________Rigid Motion: ____________________Given: ?ABC32232332366100 BD bisects ∠ABC BD⊥ACCongruence Criteria: ______________Rigid Motion: ____________________8. Fill in the missing statements/reasons of the proof. Be sure to mark your diagram to support your answers.255270026162000Given: m∠J=m∠M JA=MB JK=LMProve: △AJL? △BMK-1143001206500034575751974851. Given2. Reflexive Property3. Addition Property4. ____________________________40000200001. Given2. Reflexive Property3. Addition Property4. ____________________________1238251263651. m∠J=m∠M JA=MB JK=LM2. ____________________________3. ____________________________4. ____________________________40000200001. m∠J=m∠M JA=MB JK=LM2. ____________________________3. ____________________________4. ____________________________253111012065009. Given:AE=AF BE=CFProve: △ACE?△ABF right20948650010. Given: BD?BE29051251143000 AD?CE Prove: △ABE?△CBD 19050214312500 ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.