#6.6 Inequalities in Two Triangles + Review

Front

What is the relationship between the sides of two triangles when two sides of one triangle are congruent to two sides of another triangle and the included angle of the first is larger?

Back

The third side of the first triangle is longer than the third side of the second triangle.

Front

State the inequality relationship between the angles and sides of two triangles when one angle is larger than the corresponding angle in another triangle.

Back

If one angle is larger, the side opposite that angle is longer.

Front

What does it mean for two triangles to be congruent?

Back

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

Front

Back

The angle opposite side AC is larger than the angle opposite side DF.

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the significance of the included angle in triangle comparisons?

Back

The included angle affects the length of the opposite side; a larger included angle results in a longer opposite side.

Front

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

Back

In a triangle, larger angles are opposite longer sides.

Front

Back

The side opposite angle HGI is longer than the side opposite angle JGI.

Front

What is the definition of congruence in triangles?

Back

Congruence in triangles means that all corresponding sides and angles are equal.