WorksheetsCongruence in Overlapping Triangles
Total questions: 14
Worksheet time: 14mins
Identify any common angles or sides for:
△ADC △BDC
AB
AC
BD
DC
Identify any common angles or sides.
△EGH △EGF
EH
EF
GH
EG
Identify any common angles or sides.
∠M
∠P
∠K
∠MLP
Identify any common angles or sides.
△UXV and △VWU
UX
UW
UV
XV
Name the side or angle that is overlapping.
UX
UV
VW
XW
Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.
△AWC ≅ △CRW by ASA.
△AWC ≅ △RCW by AAS.
△AWC ≅ △WCR by SAS.
△AWC ≅ △RWC by ASA.
Which postulate or theorem, if any, could you use to prove △DBE ≅ △FCE congruent? If not enough information is given, choose not enough information
SAS
AAS
ASA
not enough information
Equivalence
Reflexive
Symmetric
Transitive
Which postulate or theorem, if any, could you use to prove the two triangles congruent?
ASA
HL
AAS
SSA
Which overlapping triangles are congruent by ASA?
△ADC ≅ △EBC
△ABE ≅ △CDA
△ABE ≅ △DEA
△ADC ≅ △EDA
Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
△FIH ≅ △GHI by HL.
△FIH ≅ △GHI by SSS.
△FIH ≅ △GHI by SAS.
△FIH ≅ △HGI by SAS.
Identify any common angles or sides
JK
∠MJK
LK
∠MKJ
The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.
∠M
∠P
∠K
∠MLP
Equivalence
Reflexive
Symmetric
Transitive
