Part 7: Geometric Transformations 2

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

If a point (x, y) is translated 4 units to the right and 3 units down, what are the new coordinates?

Back

The new coordinates will be (x + 4, y - 3).

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.

Front

What is the Angle-Angle (AA) Criterion for triangle similarity?

Back

The AA Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The coordinates become (-x, y).

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

Alternate interior angles are congruent.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

If triangle ABC is rotated 90 degrees clockwise, how does this affect its orientation?

Back

The triangle's orientation changes, and its vertices will be repositioned according to the rotation.

Front

What is the effect of a dilation with a scale factor of 2 on a triangle?

Back

The triangle's size will double, and all distances from the center of dilation will be multiplied by 2.