Triangle Congruence Quiz #1

Grace, Scarlett, and Avery are comparing two triangular-shaped pieces of wood. They find that two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle. According to which congruence postulate can they conclude that the triangles are congruent?

• SSS Congruence Postulate

• ASA Congruence Postulate

• AAS Congruence Postulate

• SAS Congruence Postulate

Isla, Anika, and Zoe are trying to determine if two triangles they found in a geometry puzzle are congruent. They know that two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. Which congruence postulate are they using to determine if the triangles are congruent?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

Aria, Emma, and Lily are comparing two triangular-shaped pieces of wood. They find that the three sides of one triangle are congruent to the three sides of the other triangle. According to which congruence postulate can they conclude that the triangles are congruent?

• Angle-Angle-Side (AAS) Congruence Postulate

• Side-Angle-Side (SAS) Congruence Postulate

• Angle-Side-Angle (ASA) Congruence Postulate

• Side-Side-Side (SSS) Congruence Postulate

Olivia and Abigail are comparing two triangles. They notice that two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle. According to which congruence postulate can they conclude that the triangles are congruent?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

Scarlett, Anika, and Benjamin are trying to determine if two triangles are congruent. They know that two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle. Which triangle congruence criterion are they using?

• Side-Side-Side

• Side-Angle-Side

• Angle-Side-Angle

• Side-Angle-Angle

Abigail, Benjamin, and Hannah are trying to determine if two triangles are congruent. They know that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. What is this rule called?

• Side-Side-Side

• Side-Side-Angle

• Side-Angle-Side

• Angle-Side-Side

Isla, Noah, and Daniel are trying to determine if two triangles are congruent. They know that two angles and the included side of one triangle are equal to the corresponding angles and side of the other triangle. Which triangle congruence rule are they using?

• Angle-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Side-Side

Jackson, Sophia, and Elijah are trying to determine if two triangles are congruent. They know two angles and one side of each triangle. Which triangle congruence rule should they use?

• Angle-Angle-Angle

• Angle-Side-Side

• Side-Side-Side

• Angle-Angle-Side

Which congruence postulate can be used to prove that two triangles are congruent if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle?

Ethan, Grace, and Liam are trying to build two identical kites. They have two sets of sticks, each set containing two sticks of the same length and one stick of a different length. They also have a protractor to measure the angle between the sticks. Which congruence postulate can they use to ensure that their kites are identical if they know that two sides and the included angle of one kite are congruent to two sides and the included angle of the other kite?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)