Hinge Theorem

What does Hinge Theorem state?

• A. The Hinge Theorem states that in any triangle, the longest side is always opposite largest angle.

• B. The Hinge Theorem states that in two triangles, if two sides are equal and the included angle of one is larger, then the opposite side is longer.

• C. The Hinge Theorem states that in two triangles, if the opposite sides are equal, then the included angle is larger.

In triangle ABC, if angle A is greater than angle B, what can be said about the length of side opposite angle A compared to the side opposite angle B?

• A. The lengths of the sides opposite angles A and B cannot be compared.

• B. The lengths of the side opposite angle angel A is less than the length of the side opposite angle B.

• C. The length of the side opposite angle A is greater than the length of the side opposite angle B.

If two triangles have two pairs of congruent sides, what can be concluded about their angles?

• A. The angles opposite the congruent sides are equal.

• B. The triangles are congruent.

• C. The triangles are similar.

Which of the following is a property of congruent triangles?

• A. Different shapes but same size

• B. Equal perimeter only

• C. Equal corresponding sides and angles.

What is the relationship between the sides of a triangle and the angles opposites those sides?

• A. All sides are equal, so angles are also equal regardless of side length.

• B. The longer the side, the larger the opposite angle.

• C. The shorter the side, the larger the opposite angle.

How do you determine if two triangles are congruent using the SSS criterion?

• A. Two triangles are congruent if all three pairs of corresponding sides are equal in length.

• B. Two triangles are congruent if at least one pair of corresponding sides is equal in length.

• C. Two triangles are congruent if their angles are equal regardless of side lengths.

What is the Hinge Theorem used for in geometry?

• A. The Hinge Theorem determines the congruence of the circles.

• B. The Hinge Theorem is used to calculate the area of triangles.

• C. The Hinge Theorem is used to compare the lengths of sides in triangles based on their angles.

If two triangles have two sides equal and the included angle of one is larger than the other, what can be said about the third side?

• A. The third side of the triangle with the larger included angle is shorter.

• B. The third side of the triangle with the larger included angles is longer.

• C. The third side of the triangle with the larger included angle is the same as the other.

What is the relationship between the angles and sides in a triangle according to the Hinge Theorem?

• A. In a triangle, larger angles are opposite longer sides according to the Hinge Theorem.

• B. Smaller angles, are opposite to the longer sides.

• C. The longest side is always opposite to the smallest angle.

How can you use the Hinge Theorem to compare two triangles?

• A. The Hinge Theorem compares the areas of triangles regardless of their angles.

• B. The Hinge Theorem allows comparison of triangle side lengths based on the angles opposite those sides.

• C. The Hinge Theorem states that all triangles with equal angles are congruent.