Transformation & Transversal 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 types include translation, rotation, reflection, and dilation.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape. It involves a center point and a scale factor.

Front

What are the coordinates of a point reflected across the x-axis?

Back

If a point has coordinates (x, y), its reflection across the x-axis will have coordinates (x, -y).

Front

What is the effect of reflecting a point across the y-axis?

Back

If a point has coordinates (x, y), its reflection across the y-axis will have coordinates (-x, y).

Front

What is the relationship between parallel lines and angles?

Back

When two lines are parallel, the corresponding angles formed by a transversal are equal.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

How do you calculate the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

The length of the line segment can be calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²).

Front

What is a rotation in geometry?

Back

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

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

What is the effect of a 90-degree rotation counterclockwise on the coordinates of a point (x, y)?

Back

The new coordinates after a 90-degree counterclockwise rotation will be (-y, x).