Triangle Inequality Theorem & Congruent Triangles FLASHCARD

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If the lengths of two sides of a triangle are 10 and 15, what is the range of possible lengths for the third side?

Back

The range of possible lengths for the third side is 5 < x < 25.

Front

Which of the following sets of lengths can represent the sides of a triangle: 32, 34, 60 or 28, 30, 58?

Back

The lengths 28, 30, 58 cannot represent the sides of a triangle.

Front

In triangle ABC, if AB = 5, AC = 7, and BC = 12, does it satisfy the Triangle Inequality Theorem?

Back

No, because 5 + 7 is not greater than 12.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides AB and XY?

Back

AB ≅ XY.

Front

What is the longest side in a triangle?

Back

The longest side is always opposite the largest angle.

Front

If the sides of a triangle are 3, 4, and 5, is it a right triangle?

Back

Yes, because 3² + 4² = 5².

Front

What is the relationship between the angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

How do you determine if three lengths can form a triangle?

Back

Check if the sum of the lengths of any two sides is greater than the length of the third side.