Hinge Theorem Quiz

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Test your understanding of the Hinge Theorem and its Converse.

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PORTUNILO LARON

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Hinge Theorem Quiz


Hinge Theorem QuizVersión en línea Test your understanding of the Hinge Theorem and its Converse. por PORTUNILO LARON 1 What does the Hinge Theorem compare? a Areas of triangles b Perimeter lengths c Angles of triangles d Corresponding side lengths of two triangles 2 If two sides of triangle A are longer than the corresponding two sides of triangle B, what about the included angle in A? a Cannot determine b The included angle in A is larger c Smaller than B's d The same as B's 3 In the Hinge Theorem, if two corresponding sides are equal and the included angle is larger in one triangle, what happens to the third side? a The third side is larger in that triangle b Cannot be determined c The same size d The third side is smaller 4 What does the Converse of the Hinge Theorem state? a Longer sides imply equal angles b If two sides are equal, angles are equal c Only works for right triangles d If two sides of one triangle are longer than the two corresponding sides of another, the included angle is larger 5 True or False: The Hinge Theorem requires two corresponding sides to be equal. a True b Depends on the triangles c False d Only for isosceles triangles 6 If two triangles have equal two sides and one has a larger included angle, which side is longer? a The third side b One of the equal sides c The angle itself d Cannot determine 7 Triangle A has sides 5 and 7 with included angle 60°, Triangle B has the same sides with angle 40°. Which third side is longer? a Triangle A's third side b Cannot determine c Both equal d Triangle B's third side 8 What happens to the third side when the included angle increases while the two sides stay fixed? a The third side decreases b No relation c The third side increases d Stays the same 9 Which theorem is closely tied to comparing triangles by two sides and the included angle? a Ceva's Theorem b Pythagorean Theorem c Hinge Theorem (and its Converse) via Law of Cosines d Triangle Inequality 10 Direct consequence of the Hinge Theorem? a Third side is fixed b If two triangles share two equal sides and the included angle is larger in one, the third side is larger c Two equal sides imply equal areas d Angles determine sides independently

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Hinge Theorem Quiz

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Hinge Theorem QuizVersión en línea

por PORTUNILO LARON

What does the Hinge Theorem compare?

If two sides of triangle A are longer than the corresponding two sides of triangle B, what about the included angle in A?

In the Hinge Theorem, if two corresponding sides are equal and the included angle is larger in one triangle, what happens to the third side?

What does the Converse of the Hinge Theorem state?

True or False: The Hinge Theorem requires two corresponding sides to be equal.

If two triangles have equal two sides and one has a larger included angle, which side is longer?

Triangle A has sides 5 and 7 with included angle 60°, Triangle B has the same sides with angle 40°. Which third side is longer?

What happens to the third side when the included angle increases while the two sides stay fixed?

Which theorem is closely tied to comparing triangles by two sides and the included angle?

Direct consequence of the Hinge Theorem?