Triangle Congruence

Triangle Congruence

​Practice

Multiple Choice

Given: M is the midpoint of $$\overline{AC}$$   $$\angle AMB\ \cong\ \angle CMB$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\overline{BM\ }\ \perp\ \overline{AC}$$  

$$\overline{BM\ }\$$  bisects $$\angle ABC$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\angle AMB\ \cong\ \angle CMB$$  

$$\angle A\ \cong\ \angle C$$  

• SSS

• SAS

• ASA

• AAS

• HL

Multiple Choice

Given: $$\overline{BM\ }\ \perp\ \overline{AC}$$  

AB = CB

• SSS

• SAS

• ASA

• HL

• CBD

Fill in the Blank

Determine using the given information if the triangles are congruent by SSS, SAS, ASA, AAS, HL, or CANNOT BE DETERMINED (CBD).

Given: $$\overline{AB\ }\ \parallel\ \overline{CD}\ and\ \overline{BC}\ \parallel\ \overline{AD}\$$  

Fill in the Blank

Determine using the given information if the triangles are congruent by SSS, SAS, ASA, AAS, HL, or CANNOT BE DETERMINED (CBD).

Given: $$\angle A\ \cong\ \angle C\ and\ \overline{BC}\ \parallel\ \overline{AD}\$$  

Fill in the Blank

Determine using the given information if the triangles are congruent by SSS, SAS, ASA, AAS, HL, or CANNOT BE DETERMINED (CBD).

Given: $$BC\ =\ AD\ and\ \overline{BC}\ \parallel\ \overline{AD}\$$  

Fill in the Blank

Determine using the given information if the triangles are congruent by SSS, SAS, ASA, AAS, HL, or CANNOT BE DETERMINED (CBD).

Given: $$\overline{DB}\$$  bisects $$\angle DAB\ and\ \angle DCB$$  

Fill in the Blank

Determine using the given information if the triangles are congruent by SSS, SAS, ASA, AAS, HL, or CANNOT BE DETERMINED (CBD).

Given: $$\angle A\ \cong\ \angle C\ \ \ \ \ \ AD\ =\ BC$$