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In triangle ABC, side AB is longer than side AC. Which angle is larger?

• Angle at A is larger

• Angle at B is larger

• Angle at C is larger

• All angles are equal

Triangle PQR has angle at Q greater than angle at R. What can you conclude about the opposite sides?

• Side PQ is longer than side PR

• Side PR is longer than side PQ

• Side QR is longer than side PR

• Side opposite Q is longer than side opposite R

Which statement correctly describes the side–angle relationship in any triangle?

• Longer side lies opposite smaller angle

• Angles opposite equal sides are unequal

• Larger angle lies opposite longer side

• Shortest side lies opposite largest angle

In triangle ABC, sides AC and BC are equal. Which statement is true about the base angles at A and B?

• The base angles at A and B are equal

• The angle at A is greater than angle at B

• The angle at B is greater than angle at A

• The base angles at A and B are complementary

In any triangle, which side lies opposite the larger angle?

• The longer side lies opposite the larger angle

• The shorter side lies opposite the larger angle

• Equal sides lie opposite unequal angles

• Side lengths are unrelated to angle sizes

In triangle ABC, if BC > AC, which angle is larger?

• ∠ABC is larger than ∠BAC

• ∠BAC is larger than ∠ABC

• ∠ACB is larger than ∠ABC

• ∠ACB is larger than ∠BAC

The angle-side inequality states which relationship in any triangle?

• Equal sides face equal angles

• Longer side faces smaller angle

• Longer side faces larger angle

• All sides face equal angles

In the proof, a point M is chosen on BC so that CM = AM. What special triangle is formed by A, M, and C?

• Right triangle AMC

• Isosceles triangle AMC

• Scalene triangle AMC

• Equilateral triangle AMC

In triangle ABM, why is angle δ greater than angle β?

• δ is an interior angle at M

• β is opposite the shortest side

• δ is an exterior angle of ABM

• β is adjacent to angle α

Triangle ABC has side lengths AB = 6 cm, AC = 8 cm, and BC = 7 cm. Which angle is the largest?

• ∠A opposite BC is largest

• ∠B opposite AC is largest

• ∠C opposite AB is largest

• All angles are equal in size