10/15 Sequences of Transformations and Congruence Lesson

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, translations, or reflections.

Front

What is a transformation in geometry?

Back

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

Front

Define translation in the context of transformations.

Back

A translation is a type of transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in terms of geometric transformations.

Back

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

Front

What is the significance of the x-axis in transformations?

Back

The x-axis is often used as a line of reflection in transformations, where figures can be flipped over this horizontal line.

Front

What is the significance of the y-axis in transformations?

Back

The y-axis is often used as a line of reflection in transformations, where figures can be flipped over this vertical line.

Front

Describe the sequence of transformations: Reflect across the x-axis, then rotate 90 degrees clockwise.

Back

This sequence first flips the figure over the x-axis and then rotates it 90 degrees clockwise around the origin.

Front

What is the result of translating a figure up?

Back

Translating a figure up means moving it vertically in the positive direction along the y-axis without changing its shape or orientation.

Front

What does it mean to map one figure onto another?

Back

Mapping one figure onto another involves applying a series of transformations to the first figure so that it coincides with the second figure.