Triangle Congruence and Transformations

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if 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

What does the term 'transformation' mean in geometry?

Back

A transformation in geometry refers to an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

For a 90° counterclockwise rotation, the coordinates of a point (x, y) change to (-y, x).

Front

What is the angle of rotation for a 180° counterclockwise rotation?

Back

For a 180° counterclockwise rotation, the coordinates of a point (x, y) change to (-x, -y).

Front

What is the angle of rotation for a 270° counterclockwise rotation?

Back

For a 270° counterclockwise rotation, the coordinates of a point (x, y) change to (y, -x).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.