Unit 4B Midterm Review

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

Given two sides of lengths 10 and 5, what are the possible lengths for the third side?

Back

Front

What does the acronym SAA stand for in triangle congruence?

Back

SAA stands for 'Side-Angle-Angle', which is a method to prove triangles are congruent.

Front

Which triangle congruence test is NOT valid?

Back

The SSA (Side-Side-Angle) test is NOT a valid method to prove triangles congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What additional information is required for two triangles to be congruent by SAS?

Back

For two triangles to be congruent by SAS (Side-Angle-Side), you need to know the length of one side and the included angle.

Front

What is the meaning of the congruence statement ∆HFG≅∆IHF?

Back

This statement means that triangle HFG is congruent to triangle IHF, indicating that their corresponding sides and angles are equal.

Front

What is the difference between SSS and SAS in triangle congruence?

Back

SSS (Side-Side-Side) requires all three sides to be equal, while SAS (Side-Angle-Side) requires two sides and the included angle to be equal.

Front

What is the significance of the angle in the SAS congruence test?

Back

The angle in the SAS test must be the angle formed between the two sides being compared; it ensures that the triangles are not just similar but congruent.

Front

How can you determine if two triangles are congruent using the SSS test?

Back

To determine if two triangles are congruent using the SSS test, compare the lengths of all three corresponding sides; if they are equal, the triangles are congruent.