NAFCS Q2 Geometry Benchmark 24-25 (11/21/2024)

The triangles are not necessarily congruent. Not enough information is provided.

The triangles are congruent by the SAS Postulate.

The triangles are congruent by the SSS Postulate.

The triangles are congruent by the ASA Postulate.

Yes, by the SAS Postulate

Yes, by the ASA Postulate

Yes, by the SSS Postulate

Yes, by the H-L Theorem

Yes, by the AAS Theorem

No

ΔABC ~ ΔHKG by the SAS ~ Theorem.

ΔABC ~ ΔHKG by the SSS ~ Theorem.

ΔABC ~ ΔHKG by the AA ~ Postulate.

ΔABC and ΔHKG are not similar because the corresponding sides of the triangles are not in

proportion.

the smallest angle.

the largest angle.

the medium angle.

∠A, ∠C, ∠B

∠A, ∠B, ∠C

∠B, ∠C, ∠A

∠C, ∠B, ∠A

∠B, ∠A, ∠C

∠C, ∠A, ∠B

Yes, because 10 + 4 > 5 satisfies the triangle inequality theorem.

No, because 4 + 5 < 10 contradicts the triangle inequality theorem.

Yes, because 4 + 5 < 10 satisfies the triangle inequality theorem.

No, because 10 + 4 > 5 contradicts the triangle inequality theorem.

If the cities are in opposite directions, the distance is 20 mi.

If the cities are in the same direction, the distance is 280 mi.

If the cities are not in the same direction, the distance is between 20 mi and 280 mi.

The distance between the two cities must be exactly 20 mi.