Unit 3 - Semester 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 are the coordinates of a point after a reflection over the x-axis?

Back

If a point has coordinates (x, y), after reflection over the x-axis, the new coordinates will be (x, -y).

Front

What is the result of rotating a point 90° counterclockwise about the origin?

Back

If a point has coordinates (x, y), after a 90° counterclockwise rotation about the origin, the new coordinates will be (-y, x).

Front

What is the result of translating a point 4 units right and 6 units down?

Back

If a point has coordinates (x, y), after translating it 4 units right and 6 units down, the new coordinates will be (x + 4, y - 6).

Front

How do you find the coordinates of a point after a reflection over the y-axis?

Back

If a point has coordinates (x, y), after reflection over the y-axis, the new coordinates will be (-x, y).

Front

What is the effect of a translation on a shape?

Back

A translation moves every point of a shape the same distance in the same direction without changing its size or orientation.

Front

What is the definition of a rotation in geometry?

Back

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

Front

What are the coordinates of a triangle's vertex after a reflection over the x-axis if the original vertex is (3, 5)?

Back

The new coordinates after reflection over the x-axis will be (3, -5).

Front

What is the angle of rotation that carries a parallelogram onto itself?

Back

A parallelogram can be rotated 180° to carry it onto itself.

Front

What happens to the coordinates of a point when it is reflected over the line y=x?

Back

If a point has coordinates (x, y), after reflection over the line y=x, the new coordinates will be (y, x).