Math 2 Final Exam Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means flipping the shape across the y-axis, resulting in a mirror image on the opposite side of the axis.

Front

What is the significance of congruent triangles?

Back

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

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

Which triangle congruence criterion is not valid?

Back

AAA (Angle-Angle-Angle) and SSA (Side-Side-Angle) are not valid criteria for proving triangle congruence.

Front

What is a hexagon?

Back

A hexagon is a six-sided polygon. It can be regular (all sides and angles are equal) or irregular.

Front

How do you determine corresponding sides in congruent polygons?

Back

Corresponding sides in congruent polygons are the sides that are in the same relative position in each polygon.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.