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

List the angles in a triangle in order from smallest to largest based on their measures.

Back

The angles in a triangle can be ordered from smallest to largest based on their measures.

Front

If two triangles are congruent, what does that imply about their corresponding sides?

Back

If two triangles are congruent, their corresponding sides are equal in length.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent.

Front

Given two sides of a triangle measuring 10 and 15, what is the range of possible measures for the third side?

Back

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

Front

If ΔABC ≅ ΔXYZ, what can we conclude about side AB and side XY?

Back

We can conclude that AB ≅ XY.

Front

What is the relationship between the angles of a triangle and the lengths of its sides?

Back

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

Front

How do you find the value of x in congruent triangles when given side lengths?

Back

Set the corresponding sides equal to each other and solve for x.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the transfer of properties and measurements.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.