PHS Geometry midterm

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, called the image.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define rotation in geometry.

Back

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

Front

What does it mean to reflect a shape across a line?

Back

To reflect a shape across a line means to create a mirror image of the shape on the opposite side of the line.

Front

What is the significance of non-collinear points in defining a plane?

Back

A plane can be defined by any three non-collinear points, meaning the points do not all lie on the same line.

Front

What is the SSS congruence theorem?

Back

The SSS (Side-Side-Side) congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

Explain the concept of congruence in triangles.

Back

Two triangles are congruent if they have the same size and shape, which can be proven using congruence theorems like SSS, SAS, ASA, or HL.

Front

What is the difference between a square and a rectangle?

Back

A square is a special type of rectangle where all four sides are equal in length, while a rectangle has opposite sides that are equal.

Front

What is a translation in geometry?

Back

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

Front

Define the term 'image' in the context of transformations.

Back

The image is the result of a transformation applied to a preimage, which is the original shape before the transformation.