Geometry Ch.4 Review

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two geometric figures are congruent, meaning they have the same shape and size.

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS congruence criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the ASA (Angle-Side-Angle) congruence criterion state?

Back

The ASA congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

How can you classify a triangle based on its angles?

Back

A triangle can be classified as acute (all angles less than 90°), right (one angle equal to 90°), or obtuse (one angle greater than 90°).

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does the notation 'HA' refer to in triangle congruence?

Back

'HA' refers to the Hypotenuse-Angle criterion, which is used to prove the congruence of right triangles by showing that the hypotenuse and one angle are equal.

Front

What is the significance of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means that if two triangles are proven congruent, all their corresponding sides and angles are also congruent.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion, but they do not have to be the same size.