Which theorem states that the measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles?

• Triangle Inequality Theorem

• Pythagorean Theorem

• Exterior Angle Inequality Theorem

• Hinge Theorem

In triangle ABC, ∠A = 50° and ∠B = 70°. Which side is the longest?

• AB

• BC

• AC

• Cannot be determined

If two sides of a triangle are 4 and 7, which of the following CANNOT be the length of the third side?

• 3

• 5

• 8

• 10

If AB = 5, BC = 8, and AC = 10, which angle is the largest in triangle ABC?

• ∠A

• ∠B

• ∠C

• Cannot be determined

According to the Hinge Theorem (or SAS Inequality Theorem), if two sides of one triangle is congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then:

• The third sides are congruent.

• The areas of the triangles are equal.

• The third side of the first triangle is longer.

• The third side of the first triangle is shorter.

Given two triangles ABC and DEF, where AB ≅ DE, AC ≅ DF, and ∠A > ∠D, which statement is true according to the Hinge Theorem?

• BC < EF

• BC = EF

• BC > EF

• ∠B > ∠E

Which statement is NOT true regarding inequalities in a triangle?

• The largest angle is opposite the longest side.

• The largest angle is opposite the shortest side.

• The smallest angle is opposite the shortest side.

• The sum of any two sides must be greater than the third side.

Line l is parallel to line m, and both are cut by a transversal t. Which of the following angle pairs are congruent?

• Alternate interior angles

• Same-side interior angles

• Linear pair

• Complementary angles

Line l is parallel to line m, and both are cut by a transversal t. If one angle measures 60 degrees, what is the measure of its corresponding angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

Which condition proves that two lines are parallel?

• Vertical angles are congruent.

• Corresponding angles are congruent.

• Same-side interior angles are congruent.

• Alternate interior angles are supplementary.