WorksheetsProving Triangles are Congruent
Total questions: 10
Worksheet time: 5mins
In Δ𝐴𝐵𝐶, identify the included side between ∠A and ∠B?
line segment AB
line segment AC
line segment BC
line segment CA
In ΔDEF, identify the included angle between line segment DE and line segment EF?
∠ D
∠ E
∠ F
none of the above
Given Δ TOY ≅ Δ CAP, what side corresponds line segment OT?
line segment OP
line segment PC
line segment AC
line segment OY
From the information stated below, what statement can be concluded?
line segment OP ≅ line segment OS ;
line segment OG ≅ line segment OR ;
line segment GP ≅ line segment SR ;
∠ P ≅ ∠ S ;
∠ O ≅ ∠ O ; and
∠ G ≅ ∠ R
Δ POG ≅ Δ SOR
Δ OGP ≅ Δ SOR
Δ GOP ≅ Δ SRO
Δ OPG ≅ Δ ORS
If Δ CAT ≅ Δ DOG, then Δ ACT is congruent to _____________.
Δ ODG
Δ GOD
Δ OGD
Δ DOG
In the given figure, if corresponding congruent parts are marked, then how can you prove Δ 𝐺𝑂𝐴 ≅ Δ 𝐺𝑇𝐴 ?
ASA Congruence Postulate
SAS Congruence Postulate
SSS Congruence Postulate
AAS Congruence Theorem
To be able to apply SSS Congruence Postulate, what additional information is needed in the following pairs of triangles?
∠ B ≅ ∠ E
∠ C ≅ ∠ F
line segment AC ≅ line segment DF
line segment AC ≅ line segment EF
Which of the following cannot be used in proving triangle congruence?
SSS ≅ SSS
AAA ≅ AAA
SAS ≅ SAS
HyL ≅ HyL
Two triangles are congruent if they have 2 angles and the included side of one triangle is congruent to the corresponding parts of the other triangle?
True
False
Maybe
Sometimes
Andrew knows that line segment AB ≅ line segment DE and line segment AC ≅ line segment DF. What other information must he know to prove Δ𝐴𝐵𝐶 ≅ Δ𝐷𝐸𝐹 by SAS Congruence Postulate?
∠ B ≅ ∠ E
∠ C ≅ ∠ F
∠ A ≅ ∠ D
∠ A ≅ ∠ E
