Conditions for congruent triangles

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

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The following triangles are congurent. Solve for x and y.

The following triangles are congruent by the SAS congruence condition. Solve for v.

Which congruence condition is being demonstrated?

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Side

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

• 4

• 5

• 3

• 38

Find the value of x.

• 4√7
• 4√3
• 2√21
• 14

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

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Side

Which congruence condition is shown?

• Side-Side-Side

• Hypotenuse-Leg

• Side-Angle-Side

• Angle-Side-Angle

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

• Yes, by AA

• Yes, by SAS

• Yes, by SSS

• Not similar

Which is NOT a test to prove triangles congruent?

• AAS

• SSS

• SSA

• SAS