Conditions of Congruent Triangles

For the pair of triangles shown, state the condition why they are congruent.

(write the condition in capital letters without spaces between e.g. SAS, SSS, ASA)

For the pair of triangles shown, state the condition why they are congruent.

(write the condition in capital letters without spaces between e.g. SAS, SSS, ASA)

In the following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

• ΔABD ≡ ΔCDB  by SAS condition

• ΔABD ≡ ΔCDB  by ASA condition

• ΔABD ≡ ΔCBD  by SAS condition

• ΔABD ≡ ΔCBD  by ASA condtion

Which pair of triangles is congruent by ASA? Select all that apply.

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By which of the following congruence conditions are the triangles congruent?

• Side-Angle-Side

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle

Which congruence condition is shown?

• Side-Side-Side

• Angle-Side-Angle

• Hypotenuse-Leg

• Side-Angle-Side

Are the following triangles similar? If so, which postulate or theorem justifies this?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• Not similar

What additional information is required for the 2 triangles to be congruent by ASA?

• A

• B

• C

• D

Congruent by _______

• SSS

• ASA

• SAS

• SSA

Congruent by _______.

• SAS

• ASA

• SSS

• SSA