SSS Congruence

Which theorem states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent?

• Side-Side-Side (SSS) Congruence Theorem

• Angle-Angle-Side (AAS) Congruence Theorem

• Side-Angle-Side (SAS) Congruence Theorem

• Angle-Side-Angle (ASA) Congruence Theorem

Tags

CCSS.HSG.SRT.B.5

True or False: The SSS Congruence Theorem can be used to prove that two triangles are congruent.

• Only if the triangles have equal side lengths

• Only if the triangles have equal angles

• True

• False

Tags

CCSS.HSG.SRT.B.5

In triangle ABC, if AB = 5 cm, BC = 7 cm, and AC = 6 cm, and in triangle DEF, if DE = 5 cm, EF = 7 cm, and DF = 6 cm, can we conclude that triangle ABC is congruent to triangle DEF using the SSS Congruence Theorem? (Yes/No)

• Not enough information

• Maybe

• Yes

• No

Tags

CCSS.HSG.SRT.B.5

In triangle PQR, if PQ = 8 cm, QR = 10 cm, and PR = 12 cm, and in triangle XYZ, if XY = 8 cm, YZ = 10 cm, and XZ = 12 cm, can we conclude that triangle PQR is congruent to triangle XYZ using the SSS Congruence Theorem? (Yes/No)

• Yes

• Not enough information

• Maybe

• No

Tags

CCSS.HSG.SRT.B.5

What is the SSS Congruence Theorem also known as?

• Side-Angle-Side Congruence Theorem

• Angle-Angle-Angle Congruence Theorem

• Side-Side-Side Congruence Theorem

• Side-Side-Angle Congruence Theorem

Tags

CCSS.HSG.SRT.B.5

In triangle ABC, if AB = 3x + 2, BC = 2x + 5, and AC = 4x - 1, and in triangle DEF, if DE = 3x + 2, EF = 2x + 5, and DF = 4x - 1, can we conclude that triangle ABC is congruent to triangle DEF using the SSS Congruence Theorem? (Yes/No)

• Yes

• Not enough information

• Maybe

• No

Tags

CCSS.HSG.SRT.B.5

In triangle PQR, if PQ = 2x + 3, QR = 3x - 1, and PR = 4x + 2, and in triangle XYZ, if XY = 2x + 3, YZ = 3x - 1, and XZ = 4x + 2, can we conclude that triangle PQR is congruent to triangle XYZ using the SSS Congruence Theorem? (Yes/No)

• Not enough information

• Maybe

• Yes

• No

Tags

CCSS.HSG.SRT.B.5

True or False: The SSS Congruence Theorem can only be used to prove that two triangles are congruent if the corresponding angles are also congruent.

• False

• Only if the triangles are right triangles

• Only if the triangles are isosceles triangles

• True

Tags

CCSS.HSG.SRT.B.5

In triangle ABC, if AB = 6 cm, BC = 8 cm, and AC = 10 cm, and in triangle DEF, if DE = 6 cm, EF = 8 cm, and DF = 10 cm, can we conclude that triangle ABC is congruent to triangle DEF using the SSS Congruence Theorem? (Yes/No)

• Yes

• Not enough information

• Maybe

• No

Tags

CCSS.HSG.SRT.B.5

In triangle PQR, if PQ = 12 cm, QR = 16 cm, and PR = 20 cm, and in triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, can we conclude that triangle PQR is congruent to triangle XYZ using the SSS Congruence Theorem? (Yes/No)

• Yes

• Not enough information

• No

• Maybe

Tags

CCSS.HSG.SRT.B.5